Details

analyze542.0ms (3.2%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`div-sub_binary64_2470`
692×	`sub-neg_binary64_2458`
595×	`neg-mul-1_binary64_2461`
552×	`associate-/r*_binary64_2409`
505×	`neg-sub0_binary64_2460`
447×	`distribute-neg-frac_binary64_2429`
324×	`distribute-frac-neg_binary64_2428`
315×	`distribute-rgt-neg-in_binary64_2423`
302×	`distribute-lft-neg-out_binary64_2424`
238×	`distribute-rgt-neg-out_binary64_2425`
227×	`remove-double-neg_binary64_2453`
226×	`associate-/r/_binary64_2411`
220×	`associate-/l*_binary64_2410`
219×	`unsub-neg_binary64_2459`
209×	`associate-*l/_binary64_2408`
189×	`distribute-rgt-in_binary64_2415`
184×	`cancel-sign-sub-inv_binary64_2431`
144×	`times-frac_binary64_2471`
143×	`cancel-sign-sub_binary64_2430`
119×	`associate-/l/_binary64_2412`
111×	`distribute-lft-neg-in_binary64_2422`
109×	`distribute-neg-in_binary64_2426`
106×	`distribute-lft-in_binary64_2414`
89×	`associate--r-_binary64_2404`
84×	`associate--r+_binary64_2401`
66×	`sub0-neg_binary64_2452`
61×	`+-lft-identity_binary64_2449`
60×	`*-commutative_binary64_2396`
56×	`--rgt-identity_binary64_2451` `+-commutative_binary64_2395`
54×	`/-rgt-identity_binary64_2456`
45×	`associate-r_binary64_2405` `associate-+l-_binary64_2400`
44×	`associate-*r/_binary64_2407`
43×	`*-lft-identity_binary64_2454`
40×	`associate-+l+_binary64_2398`
36×	`div0_binary64_2446`
31×	`+-rgt-identity_binary64_2450`
29×	`associate--l-_binary64_2403` `associate-+r-_binary64_2399`
26×	`associate-l_binary64_2406`
18×	`*-rgt-identity_binary64_2455` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447`
17×	`associate-+r+_binary64_2397`
6×	`associate--l+_binary64_2402`
3×	`sqr-neg_binary64_2479` `swap-sqr_binary64_2432`
1×	`1-exp_binary64_2509`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-unmult_binary64_2502` `cube-mult_binary64_2495` `cube-div_binary64_2494` `cube-prod_binary64_2493` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `mul-1-neg_binary64_2457` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `pow-sqr_binary64_2438` `sqr-pow_binary64_2437` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `unswap-sqr_binary64_2433` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `count-2_binary64_2413`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	88	96
2	164	96
3	316	96
4	473	96
5	779	96
6	1371	96
7	2448	96
8	3627	96
9	4406	96
10	4697	96
11	4882	96
12	4930	96
13	4963	96
14	4937	96
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample37.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	245×	body	128	valid
8.0ms	287×	pre	128	true
1.0ms	31×	body	128	nan
1.0ms	11×	body	256	valid

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify317.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64_2470`
743×	`associate-/l*_binary64_2410`
567×	`times-frac_binary64_2471`
521×	`associate-/l/_binary64_2412`
427×	`associate-/r/_binary64_2411`
390×	`sub-neg_binary64_2458`
318×	`distribute-rgt-in_binary64_2415`
273×	`cancel-sign-sub-inv_binary64_2431`
256×	`distribute-neg-frac_binary64_2429`
247×	`distribute-lft-in_binary64_2414`
214×	`distribute-rgt-neg-in_binary64_2423`
199×	`unsub-neg_binary64_2459`
187×	`associate-/r*_binary64_2409`
179×	`distribute-lft-neg-in_binary64_2422`
116×	`neg-mul-1_binary64_2461`
113×	`associate-*l/_binary64_2408`
98×	`*-commutative_binary64_2396`
82×	`distribute-lft-neg-out_binary64_2424`
74×	`neg-sub0_binary64_2460` `distribute-frac-neg_binary64_2428`
67×	`distribute-rgt-neg-out_binary64_2425`
58×	`associate-r_binary64_2405`
55×	`+-commutative_binary64_2395`
54×	`associate--r+_binary64_2401`
49×	`div0_binary64_2446` `associate-l_binary64_2406`
48×	`mul0-rgt_binary64_2448`
45×	`associate-*r/_binary64_2407`
44×	`mul0-lft_binary64_2447`
42×	`remove-double-div_binary64_2441`
38×	`associate--r-_binary64_2404`
30×	`+-lft-identity_binary64_2449`
26×	`distribute-neg-in_binary64_2426` `associate--l-_binary64_2403`
23×	`cancel-sign-sub_binary64_2430`
22×	`/-rgt-identity_binary64_2456` `remove-double-neg_binary64_2453`
19×	`sub0-neg_binary64_2452`
17×	`*-lft-identity_binary64_2454`
14×	`associate-+l-_binary64_2400` `associate-+r-_binary64_2399` `associate-+l+_binary64_2398`
10×	`*-rgt-identity_binary64_2455` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `associate--l+_binary64_2402`
8×	`distribute-neg-out_binary64_2427`
7×	`--rgt-identity_binary64_2451` `associate-+r+_binary64_2397`
6×	`mul-1-neg_binary64_2457`
5×	`+-rgt-identity_binary64_2450`
4×	`distribute-lft-out_binary64_2416`
2×	`distribute-lft-out--_binary64_2417`
1×	`1-exp_binary64_2509` `swap-sqr_binary64_2432`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-pow_binary64_2554` `log-rec_binary64_2553` `log-div_binary64_2552` `log-prod_binary64_2551` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `unpow3_binary64_2531` `unpow2_binary64_2530` `unpow1/2_binary64_2529` `pow-plus_binary64_2528` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow1_binary64_2523` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `exp-prod_binary64_2517` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-unmult_binary64_2502` `cube-mult_binary64_2495` `cube-div_binary64_2494` `cube-prod_binary64_2493` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-sqrt-square_binary64_2478` `rem-square-sqrt_binary64_2477` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `pow-sqr_binary64_2438` `sqr-pow_binary64_2437` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `unswap-sqr_binary64_2433` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `count-2_binary64_2413`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	29	24
2	62	24
3	125	24
4	175	24
5	284	24
6	456	24
7	759	24
8	1186	24
9	1635	24
10	1913	24
11	1868	24
12	1916	24
13	1985	24
14	2029	24
15	1597	24
16	1589	24
17	1581	24
18	1585	24
19	1587	24
20	1587	24
21	1801	24
22	1901	24
23	1835	24
24	1843	24
25	1865	24
26	1877	24
27	1883	24
28	1883	24
29	1927	24
30	1983	24
31	1935	24
32	1935	24
33	1746	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

29.5b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 3 a) c)
0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
29.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite165.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

27.7b

Rules

20×	`add-sqr-sqrt_binary64_2487`
14×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `*-un-lft-identity_binary64_2465`
9×	`pow1_binary64_2526`
8×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500`
6×	`difference-of-squares_binary64_2434` `times-frac_binary64_2471` `associate-/l*_binary64_2410`
4×	`cancel-sign-sub-inv_binary64_2431` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`flip3--_binary64_2469` `flip--_binary64_2440` `sqrt-prod_binary64_2481` `distribute-lft-out--_binary64_2417` `pow-prod-down_binary64_2536` `associate-r_binary64_2405`
2×	`diff-log_binary64_2557` `sub-neg_binary64_2458` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-/l/_binary64_2412`
1×	`frac-2neg_binary64_2476` `div-sub_binary64_2470` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/r_binary64_2409` `associate-l_binary64_2406` `-commutative_binary64_2396`

Counts

4 → 77

Calls

4 calls:

13.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
9.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
6.0ms	(.f64 (.f64 3 a) c)
5.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2072 to 1208 computations (41.7% saved)

series896.0ms (5.3%)

Error

0.9b

Counts

4 → 60

Calls

4 calls:

300.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
238.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
207.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
75.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2840 to 2199 computations (22.6% saved)

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64_2410`
244×	`distribute-rgt-in_binary64_2415`
224×	`distribute-rgt-neg-in_binary64_2423`
216×	`distribute-lft-in_binary64_2414`
205×	`distribute-lft-neg-in_binary64_2422`
181×	`cancel-sign-sub-inv_binary64_2431`
170×	`associate-l_binary64_2406`
166×	`associate-r_binary64_2405`
162×	`associate-/r/_binary64_2411`
152×	`associate-/l/_binary64_2412`
112×	`*-commutative_binary64_2396`
99×	`unswap-sqr_binary64_2433`
79×	`sub-neg_binary64_2458`
77×	`distribute-neg-frac_binary64_2429`
76×	`times-frac_binary64_2471`
75×	`associate-/r*_binary64_2409`
73×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
63×	`distribute-neg-in_binary64_2426`
59×	`div-sub_binary64_2470`
54×	`sqr-pow_binary64_2437`
52×	`exp-prod_binary64_2517`
45×	`+-commutative_binary64_2395`
34×	`associate-*l/_binary64_2408`
32×	`associate-*r/_binary64_2407`
29×	`distribute-rgt-out_binary64_2418`
25×	`cube-prod_binary64_2493` `unsub-neg_binary64_2459` `distribute-lft-neg-out_binary64_2424`
24×	`associate-+r+_binary64_2397`
22×	`associate-+l+_binary64_2398`
21×	`log-prod_binary64_2551`
18×	`swap-sqr_binary64_2432` `associate--r+_binary64_2401`
17×	`distribute-lft-out_binary64_2416`
13×	`-rgt-identity_binary64_2455` `-lft-identity_binary64_2454`
12×	`distribute-rgt-neg-out_binary64_2425`
10×	`unpow3_binary64_2531`
9×	`cube-mult_binary64_2495`
8×	`/-rgt-identity_binary64_2456` `difference-of-squares_binary64_2434`
7×	`exp-sum_binary64_2511` `associate-+r-_binary64_2399`
6×	`log-div_binary64_2552` `exp-diff_binary64_2513` `+-rgt-identity_binary64_2450`
5×	`cube-unmult_binary64_2502`
4×	`pow-plus_binary64_2528` `pow-sqr_binary64_2438`
3×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `exp-lft-cube_binary64_2521` `exp-cbrt_binary64_2519` `cube-div_binary64_2494` `rem-sqrt-square_binary64_2478` `mul-1-neg_binary64_2457` `associate-+l-_binary64_2400`
2×	`log-pow_binary64_2554` `div-exp_binary64_2516` `rem-square-sqrt_binary64_2477` `distribute-neg-out_binary64_2427` `distribute-lft-out--_binary64_2417`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508` `rem-3cbrt-lft_binary64_2490` `remove-double-neg_binary64_2453` `*-inverses_binary64_2445` `count-2_binary64_2413` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--l+_binary64_2402`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `log-rec_binary64_2553` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-sqr_binary64_2520` `exp-sqrt_binary64_2518` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419`

Counts

137 → 107

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	220	3206
1	575	2948
2	2075	2923
3	5268	2923

prune159.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	97	10	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	98	10	108

Error

0.6b

Counts

108 → 10

Compiler

Compiled 2817 to 1584 computations (43.8% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 a a) (pow.f64 c 3))
0.4b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
0.4b	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
0.4b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

rewrite669.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

109×	`add-exp-log_binary64_2503`
54×	`prod-exp_binary64_2514`
42×	`add-sqr-sqrt_binary64_2487`
30×	`div-exp_binary64_2516`
29×	`add-cbrt-cube_binary64_2501` `unpow-prod-down_binary64_2544`
24×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533`
22×	`add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
19×	`associate-r_binary64_2405` `times-frac_binary64_2471` `associate-/r*_binary64_2409`
16×	`unswap-sqr_binary64_2433` `cube-prod_binary64_2493`
15×	`sqr-pow_binary64_2437`
13×	`associate-l_binary64_2406`
10×	`cbrt-unprod_binary64_2498`
6×	`cbrt-undiv_binary64_2499`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504` `unpow3_binary64_2531` `cube-mult_binary64_2495`
2×	`-commutative_binary64_2396` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l_binary64_2410`

Counts

4 → 178

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
10.0ms	(.f64 (.f64 a a) (pow.f64 c 3))
10.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
9.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 9229 to 5770 computations (37.5% saved)

series1.1s (6.7%)

Error

0.6b

Counts

4 → 30

Calls

4 calls:

424.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
295.0ms	(/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))
187.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
163.0ms	(.f64 (.f64 a a) (pow.f64 c 3))

Compiler

Compiled 4050 to 3052 computations (24.6% saved)

simplify147.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

394×	`associate-l_binary64_2406`
324×	`times-frac_binary64_2471`
322×	`associate-r_binary64_2405`
316×	`associate-/l*_binary64_2410`
277×	`log-div_binary64_2552`
210×	`log-prod_binary64_2551`
186×	`associate-/r*_binary64_2409`
136×	`swap-sqr_binary64_2432`
129×	`cube-prod_binary64_2493`
126×	`distribute-rgt-neg-in_binary64_2423`
107×	`exp-prod_binary64_2517`
98×	`*-commutative_binary64_2396`
93×	`sqr-pow_binary64_2437`
82×	`cancel-sign-sub-inv_binary64_2431`
76×	`associate-/l/_binary64_2412`
74×	`unswap-sqr_binary64_2433` `associate-*l/_binary64_2408`
56×	`log-pow_binary64_2554`
54×	`cube-div_binary64_2494`
47×	`-rgt-identity_binary64_2455` `associate-r/_binary64_2407`
45×	`associate-/r/_binary64_2411`
38×	`sub-neg_binary64_2458`
27×	`distribute-neg-frac_binary64_2429`
23×	`cube-unmult_binary64_2502`
22×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `*-lft-identity_binary64_2454`
21×	`distribute-lft-neg-in_binary64_2422`
20×	`/-rgt-identity_binary64_2456` `pow-sqr_binary64_2438`
19×	`pow-plus_binary64_2528`
18×	`rem-sqrt-square_binary64_2478` `+-commutative_binary64_2395`
17×	`associate--l+_binary64_2402`
15×	`log-rec_binary64_2553`
14×	`unpow3_binary64_2531`
11×	`cube-mult_binary64_2495`
8×	`associate-+l+_binary64_2398`
7×	`distribute-neg-in_binary64_2426`
6×	`distribute-lft-neg-out_binary64_2424`
4×	`unpow2_binary64_2530` `unpow1_binary64_2523` `unsub-neg_binary64_2459` `distribute-rgt-neg-out_binary64_2425`
3×	`rem-cbrt-cube_binary64_2489` `rem-cube-cbrt_binary64_2488` `rem-square-sqrt_binary64_2477` `div-sub_binary64_2470`
2×	`unpow1/2_binary64_2529` `count-2_binary64_2413` `associate-+r+_binary64_2397`
1×	`1-exp_binary64_2509` `exp-1-e_binary64_2508`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-rgt-out_binary64_2418` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `associate--r-_binary64_2404` `associate--l-_binary64_2403` `associate--r+_binary64_2401` `associate-+l-_binary64_2400` `associate-+r-_binary64_2399`

Counts

208 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	3405
1	572	3047
2	3383	3032
3	4813	3032
4	5093	3032

prune460.0ms (2.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	153	10	163

Error

0.6b

Counts

163 → 10

Compiler

Compiled 7633 to 4727 computations (38.1% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
0.4b	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.7b	(pow.f64 (*.f64 a c) 3)

rewrite882.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

83×	`add-exp-log_binary64_2503`
46×	`pow1_binary64_2526`
37×	`prod-exp_binary64_2514`
32×	`div-exp_binary64_2516`
30×	`pow-exp_binary64_2533`
29×	`pow-to-exp_binary64_2534` `add-cbrt-cube_binary64_2501`
18×	`pow-prod-down_binary64_2536`
11×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465` `cbrt-unprod_binary64_2498`
10×	`times-frac_binary64_2471` `associate-*r/_binary64_2407`
8×	`associate-/r*_binary64_2409`
7×	`unpow-prod-down_binary64_2544` `associate-/l/_binary64_2412`
5×	`frac-sub_binary64_2474`
4×	`add-log-exp_binary64_2504` `pow-prod-up_binary64_2535` `pow-sqr_binary64_2438` `cbrt-undiv_binary64_2499` `associate-/l*_binary64_2410` `frac-add_binary64_2473`
3×	`pow-unpow_binary64_2542` `sqr-pow_binary64_2437`
2×	`pow-pow_binary64_2537` `rem-cube-cbrt_binary64_2488` `pow-plus_binary64_2528` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `pow2_binary64_2546` `swap-sqr_binary64_2432` `associate-l_binary64_2406` `associate-r_binary64_2405` `*-commutative_binary64_2396` `div-sub_binary64_2470` `flip3--_binary64_2469` `flip--_binary64_2440`

Counts

4 → 142

Calls

4 calls:

32.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
10.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
8.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9642 to 5747 computations (40.4% saved)

series1.3s (7.6%)

Error

0.6b

Counts

4 → 42

Calls

4 calls:

475.0ms	(/.f64 (*.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))
457.0ms	(/.f64 (-.f64 (.f64 -3/2 (/.f64 (.f64 a c) b)) (+.f64 (+.f64 (.f64 9/8 (/.f64 (.f64 (.f64 a c) (.f64 a c)) (pow.f64 b 3))) (.f64 27/16 (/.f64 (pow.f64 (.f64 a c) 3) (pow.f64 b 5)))) (.f64 405/128 (/.f64 (.f64 (pow.f64 a 4) (pow.f64 c 4)) (pow.f64 b 7))))) (*.f64 3 a))
147.0ms	(pow.f64 (*.f64 a c) 3)
126.0ms	(.f64 (.f64 a c) (*.f64 a c))

Compiler

Compiled 4327 to 3153 computations (27.1% saved)

simplify175.0ms (1%)

Algorithm

1×	egg-herbie

Rules

438×	`unswap-sqr_binary64_2433`
312×	`log-prod_binary64_2551`
305×	`associate-r_binary64_2405`
288×	`associate-l_binary64_2406`
161×	`associate-/l*_binary64_2410`
159×	`times-frac_binary64_2471`
154×	`*-commutative_binary64_2396`
111×	`div-sub_binary64_2470`
106×	`associate-/r*_binary64_2409`
91×	`associate-l/_binary64_2408` `associate-r/_binary64_2407`
86×	`sub-neg_binary64_2458`
83×	`distribute-rgt-in_binary64_2415`
79×	`cube-prod_binary64_2493`
78×	`exp-prod_binary64_2517`
75×	`sqr-pow_binary64_2437` `distribute-lft-in_binary64_2414`
52×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
49×	`log-div_binary64_2552`
38×	`+-commutative_binary64_2395`
34×	`cancel-sign-sub-inv_binary64_2431`
33×	`associate-/l/_binary64_2412`
32×	`associate-+r+_binary64_2397`
30×	`associate-+l+_binary64_2398`
28×	`swap-sqr_binary64_2432` `distribute-rgt-neg-in_binary64_2423`
27×	`associate-/r/_binary64_2411`
26×	`log-pow_binary64_2554`
23×	`distribute-lft-neg-in_binary64_2422`
19×	`cube-unmult_binary64_2502` `unsub-neg_binary64_2459`
18×	`distribute-neg-in_binary64_2426` `associate--r+_binary64_2401`
15×	`cube-div_binary64_2494` `pow-sqr_binary64_2438`
14×	`*-rgt-identity_binary64_2455`
11×	`associate--l+_binary64_2402`
9×	`pow-plus_binary64_2528` `distribute-neg-frac_binary64_2429`
6×	`rem-sqrt-square_binary64_2478`
5×	`unpow3_binary64_2531`
4×	`log-rec_binary64_2553` `cube-mult_binary64_2495` `distribute-rgt-out--_binary64_2419`
3×	`unpow1/2_binary64_2529` `unpow1_binary64_2523` `exp-cbrt_binary64_2519` `distribute-lft-neg-out_binary64_2424` `associate-+r-_binary64_2399`
2×	`unpow2_binary64_2530` `exp-diff_binary64_2513` `/-rgt-identity_binary64_2456` `distribute-rgt-out_binary64_2418` `count-2_binary64_2413` `associate--r-_binary64_2404` `associate-+l-_binary64_2400`
1×	`exp-sum_binary64_2511` `1-exp_binary64_2509` `rem-cbrt-cube_binary64_2489` `*-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `+-rgt-identity_binary64_2450`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-neg_binary64_2512` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `mul-1-neg_binary64_2457` `--rgt-identity_binary64_2451` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-lft-out--_binary64_2417` `distribute-lft-out_binary64_2416` `associate--l-_binary64_2403`

Counts

184 → 155

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	5491
1	725	4505
2	3305	4495
3	4803	4495
4	5053	4495

prune606.0ms (3.6%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	146	9	155
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	146	19	165

Error

0.6b

Counts

165 → 19

Compiler

Compiled 10216 to 6254 computations (38.8% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
0.5b	(pow.f64 (*.f64 a c) 2)
0.7b	(pow.f64 (*.f64 a c) 3)
0.9b	(pow.f64 (*.f64 a c) 4)

rewrite425.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

35×	`times-frac_binary64_2471`
33×	`add-exp-log_binary64_2503`
29×	`unpow-prod-down_binary64_2544`
27×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
17×	`sqr-pow_binary64_2437`
16×	`pow-exp_binary64_2533`
13×	`pow1_binary64_2526`
12×	`div-exp_binary64_2516`
10×	`pow-to-exp_binary64_2534`
9×	`pow-unpow_binary64_2542` `add-cbrt-cube_binary64_2501`
7×	`associate-/r*_binary64_2409`
6×	`pow-pow_binary64_2537` `prod-exp_binary64_2514`
5×	`associate-/l*_binary64_2410`
4×	`add-log-exp_binary64_2504`
3×	`pow-prod-down_binary64_2536`
2×	`rem-cube-cbrt_binary64_2488`
1×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `cube-prod_binary64_2493` `cbrt-unprod_binary64_2498` `unpow2_binary64_2530` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462`

Counts

4 → 127

Calls

4 calls:

7.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
4.0ms	(pow.f64 (*.f64 a c) 3)
4.0ms	(pow.f64 (*.f64 a c) 4)
4.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 7193 to 4363 computations (39.3% saved)

series961.0ms (5.7%)

Error

0.6b

Counts

4 → 27

Calls

4 calls:

488.0ms	(/.f64 (pow.f64 (*.f64 a c) 4) (pow.f64 b 7))
149.0ms	(pow.f64 (*.f64 a c) 3)
146.0ms	(pow.f64 (*.f64 a c) 4)
116.0ms	(pow.f64 (*.f64 a c) 2)

Compiler

Compiled 4131 to 2922 computations (29.3% saved)

simplify110.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

597×	`associate-/r*_binary64_2409`
309×	`associate-/l/_binary64_2412`
299×	`log-prod_binary64_2551`
276×	`associate-*l/_binary64_2408`
269×	`log-div_binary64_2552`
240×	`associate-*r/_binary64_2407`
236×	`exp-prod_binary64_2517`
209×	`associate-/r/_binary64_2411`
185×	`*-commutative_binary64_2396`
145×	`unswap-sqr_binary64_2433`
101×	`associate-/l*_binary64_2410`
71×	`sqr-pow_binary64_2437`
69×	`cube-prod_binary64_2493` `times-frac_binary64_2471`
67×	`swap-sqr_binary64_2432`
59×	`associate-l_binary64_2406`
55×	`associate-r_binary64_2405`
52×	`unpow3_binary64_2531`
32×	`distribute-rgt-neg-in_binary64_2423`
31×	`distribute-lft-neg-in_binary64_2422`
27×	`log-pow_binary64_2554`
22×	`cancel-sign-sub-inv_binary64_2431`
20×	`pow-plus_binary64_2528` `associate-+l+_binary64_2398` `associate-+r+_binary64_2397`
19×	`pow-sqr_binary64_2438`
16×	`associate--l+_binary64_2402`
14×	`cube-div_binary64_2494`
13×	`distribute-rgt-in_binary64_2415`
12×	`sub-neg_binary64_2458`
11×	`distribute-lft-in_binary64_2414`
10×	`cube-unmult_binary64_2502`
9×	`*-rgt-identity_binary64_2455`
8×	`rem-sqrt-square_binary64_2478` `distribute-neg-frac_binary64_2429`
6×	`log-rec_binary64_2553` `neg-mul-1_binary64_2461` `neg-sub0_binary64_2460` `/-rgt-identity_binary64_2456`
4×	`associate-+l-_binary64_2400` `+-commutative_binary64_2395`
3×	`unpow2_binary64_2530` `unpow1/2_binary64_2529` `unpow1_binary64_2523` `cube-mult_binary64_2495` `count-2_binary64_2413` `associate--l-_binary64_2403`
2×	`associate--r+_binary64_2401` `associate-+r-_binary64_2399`
1×	`1-exp_binary64_2509` `rem-cbrt-cube_binary64_2489` `*-lft-identity_binary64_2454` `distribute-neg-in_binary64_2426` `distribute-lft-neg-out_binary64_2424` `distribute-rgt-out_binary64_2418` `distribute-lft-out_binary64_2416`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `erfc-erf_binary64_2728` `erf-erfc_binary64_2727` `erf-odd_binary64_2726` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `not-gte_binary64_2717` `not-lte_binary64_2716` `not-gt_binary64_2715` `not-lt_binary64_2714` `gte-same_binary64_2713` `lte-same_binary64_2712` `gt-same_binary64_2711` `lt-same_binary64_2710` `sinh---cosh_binary64_2657` `sinh-+-cosh_binary64_2656` `sinh-cosh_binary64_2655` `tanh-def-c_binary64_2654` `tanh-def-b_binary64_2653` `tanh-def-a_binary64_2652` `cosh-def_binary64_2651` `sinh-def_binary64_2650` `tan-neg_binary64_2597` `cos-neg_binary64_2596` `sin-neg_binary64_2595` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `hang-m-tan_binary64_2591` `hang-p-tan_binary64_2590` `hang-m0-tan_binary64_2589` `hang-p0-tan_binary64_2588` `hang-0m-tan_binary64_2587` `hang-0p-tan_binary64_2586` `tan-+PI/2_binary64_2585` `tan-+PI_binary64_2584` `tan-PI_binary64_2583` `tan-PI/3_binary64_2582` `tan-PI/4_binary64_2581` `tan-PI/6_binary64_2580` `cos-+PI/2_binary64_2579` `cos-+PI_binary64_2578` `cos-PI_binary64_2577` `cos-PI/2_binary64_2576` `cos-PI/3_binary64_2575` `cos-PI/4_binary64_2574` `cos-PI/6_binary64_2573` `sin-+PI/2_binary64_2572` `sin-+PI_binary64_2571` `sin-PI_binary64_2570` `sin-PI/2_binary64_2569` `sin-PI/3_binary64_2568` `sin-PI/4_binary64_2567` `sin-PI/6_binary64_2566` `sub-1-sin_binary64_2565` `sub-1-cos_binary64_2564` `-1-add-sin_binary64_2563` `-1-add-cos_binary64_2562` `1-sub-sin_binary64_2561` `1-sub-cos_binary64_2560` `cos-sin-sum_binary64_2559` `log-E_binary64_2555` `pow-base-0_binary64_2549` `unpow1/3_binary64_2532` `exp-to-pow_binary64_2527` `pow-base-1_binary64_2525` `unpow0_binary64_2524` `unpow-1_binary64_2522` `exp-lft-cube_binary64_2521` `exp-lft-sqr_binary64_2520` `exp-cbrt_binary64_2519` `exp-sqrt_binary64_2518` `div-exp_binary64_2516` `rec-exp_binary64_2515` `prod-exp_binary64_2514` `exp-diff_binary64_2513` `exp-neg_binary64_2512` `exp-sum_binary64_2511` `e-exp-1_binary64_2510` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `rem-log-exp_binary64_2506` `rem-exp-log_binary64_2505` `cube-neg_binary64_2492` `rem-3cbrt-rft_binary64_2491` `rem-3cbrt-lft_binary64_2490` `rem-cube-cbrt_binary64_2488` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `rem-square-sqrt_binary64_2477` `div-sub_binary64_2470` `unsub-neg_binary64_2459` `mul-1-neg_binary64_2457` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `mul0-rgt_binary64_2448` `mul0-lft_binary64_2447` `div0_binary64_2446` `*-inverses_binary64_2445` `+-inverses_binary64_2444` `lft-mult-inverse_binary64_2443` `rgt-mult-inverse_binary64_2442` `remove-double-div_binary64_2441` `difference-of-sqr--1_binary64_2436` `difference-of-sqr-1_binary64_2435` `difference-of-squares_binary64_2434` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425` `distribute-rgt1-in_binary64_2421` `distribute-lft1-in_binary64_2420` `distribute-rgt-out--_binary64_2419` `distribute-lft-out--_binary64_2417` `associate--r-_binary64_2404`

Counts

154 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	176	2391
1	295	2253
2	1096	2247
3	4234	2247
4	5091	2247

prune251.0ms (1.5%)

Pruning

19 alts after pruning (16 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	16	16
Picked	0	1	1
Done	0	2	2
Total	97	19	116

Error

0.6b

Counts

116 → 19

Compiler

Compiled 5038 to 3009 computations (40.3% saved)

regimes2.2s (13.2%)

Accuracy

Total 4.6b remaining (88.2%)

Threshold costs 0b (0%)

Compiler

Compiled 31205 to 21332 computations (31.6% saved)

bsearch25.0ms (0.2%)

Steps

Iters	Range		Point
2	1.6068550581913799	1.83092684077597	1.6348640310144535

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

35×	`*-commutative_binary64_2396`
31×	`+-commutative_binary64_2395`
29×	`sub-neg_binary64_2458`
25×	`neg-mul-1_binary64_2461` `neg-sub0_binary64_2460`
19×	`distribute-rgt-neg-in_binary64_2423`
16×	`distribute-lft-neg-in_binary64_2422`
5×	`cancel-sign-sub-inv_binary64_2431`
3×	`distribute-neg-frac_binary64_2429` `distribute-lft-neg-out_binary64_2424`
2×	`unsub-neg_binary64_2459` `distribute-neg-in_binary64_2426`
0×	`not-true` `not-false` `not-not` `not-and` `not-or` `and-true-l` `and-true-r` `and-false-l` `and-false-r` `and-same` `or-true-l` `or-true-r` `or-false-l` `or-false-r` `or-same` `if-if-and-not_binary64_2725` `if-if-and_binary64_2724` `if-if-or-not_binary64_2723` `if-if-or_binary64_2722` `if-not_binary64_2721` `if-same_binary64_2720` `if-false_binary64_2719` `if-true_binary64_2718` `tan-0_binary64_2594` `cos-0_binary64_2593` `sin-0_binary64_2592` `unpow1_binary64_2523` `e-exp-1_binary64_2510` `1-exp_binary64_2509` `exp-1-e_binary64_2508` `exp-0_binary64_2507` `sqr-abs_binary64_2480` `sqr-neg_binary64_2479` `mul-1-neg_binary64_2457` `/-rgt-identity_binary64_2456` `-rgt-identity_binary64_2455` `-lft-identity_binary64_2454` `remove-double-neg_binary64_2453` `sub0-neg_binary64_2452` `--rgt-identity_binary64_2451` `+-rgt-identity_binary64_2450` `+-lft-identity_binary64_2449` `cancel-sign-sub_binary64_2430` `distribute-frac-neg_binary64_2428` `distribute-neg-out_binary64_2427` `distribute-rgt-neg-out_binary64_2425`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	118
1	77	118
2	107	118
3	151	118
4	190	118
5	227	118
6	252	118
7	262	118
8	265	118
9	265	118

end0.0ms (0%)

sample5.2s (30.9%)

Algorithm

1×

intervals

Results

396.0ms	7673×	body	128	valid
263.0ms	8976×	pre	128	true
48.0ms	976×	body	128	nan
34.0ms	327×	body	256	valid

Compiler

Compiled 6120 to 4178 computations (31.7% saved)

Iter	Nodes	Cost
0	48	118
1	77	118
2	107	118
3	151	118
4	190	118
5	227	118
6	252	118
7	262	118
8	265	118
9	265	118

Iter	Nodes	Cost
0	48	118
1	77	118
2	107	118
3	151	118
4	190	118
5	227	118
6	252	118
7	262	118
8	265	118
9	265	118

Details

analyze542.0ms (3.2%)

sample37.0ms (0.2%)

simplify317.0ms (1.9%)

prune4.0ms (0%)

localize13.0ms (0.1%)

rewrite165.0ms (1%)

series896.0ms (5.3%)

simplify94.0ms (0.6%)

prune159.0ms (0.9%)

localize29.0ms (0.2%)

rewrite669.0ms (4%)

series1.1s (6.7%)

simplify147.0ms (0.9%)

prune460.0ms (2.7%)

localize35.0ms (0.2%)

rewrite882.0ms (5.2%)

series1.3s (7.6%)

simplify175.0ms (1%)

prune606.0ms (3.6%)

localize31.0ms (0.2%)

rewrite425.0ms (2.5%)

series961.0ms (5.7%)

simplify110.0ms (0.6%)

prune251.0ms (1.5%)

regimes2.2s (13.2%)

bsearch25.0ms (0.2%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample5.2s (30.9%)

Profiling

Iter	Nodes	Cost
0	48	118
1	77	118
2	107	118
3	151	118
4	190	118
5	227	118
6	252	118
7	262	118
8	265	118
9	265	118