Details

analyze418.0ms (5.3%)

Algorithm

1×	search
2×	egg-herbie

Rules

760×	`div-sub_binary64`
692×	`sub-neg_binary64`
595×	`neg-mul-1_binary64`
552×	`associate-/r*_binary64`
505×	`neg-sub0_binary64`
447×	`distribute-neg-frac_binary64`
324×	`distribute-frac-neg_binary64`
315×	`distribute-rgt-neg-in_binary64`
302×	`distribute-lft-neg-out_binary64`
238×	`distribute-rgt-neg-out_binary64`
227×	`remove-double-neg_binary64`
226×	`associate-/r/_binary64`
220×	`associate-/l*_binary64`
219×	`unsub-neg_binary64`
209×	`associate-*l/_binary64`
189×	`distribute-rgt-in_binary64`
184×	`cancel-sign-sub-inv_binary64`
144×	`times-frac_binary64`
143×	`cancel-sign-sub_binary64`
119×	`associate-/l/_binary64`
111×	`distribute-lft-neg-in_binary64`
109×	`distribute-neg-in_binary64`
106×	`distribute-lft-in_binary64`
89×	`associate--r-_binary64`
84×	`associate--r+_binary64`
66×	`sub0-neg_binary64`
61×	`+-lft-identity_binary64`
60×	`*-commutative_binary64`
56×	`--rgt-identity_binary64` `+-commutative_binary64`
54×	`/-rgt-identity_binary64`
45×	`associate-r_binary64` `associate-+l-_binary64`
44×	`associate-*r/_binary64`
43×	`*-lft-identity_binary64`
40×	`associate-+l+_binary64`
36×	`div0_binary64`
31×	`+-rgt-identity_binary64`
29×	`associate--l-_binary64` `associate-+r-_binary64`
26×	`associate-l_binary64`
18×	`*-rgt-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64`
17×	`associate-+r+_binary64`
6×	`associate--l+_binary64`
3×	`sqr-neg_binary64` `swap-sqr_binary64`
1×	`1-exp_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `count-2_binary64`

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 (0.5%)

Algorithm

1×

intervals

Results

12.0ms	248×	body	128	valid
10.0ms	275×	pre	128	true
1.0ms	8×	body	256	valid
1.0ms	19×	body	128	nan

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify321.0ms (4%)

Algorithm

1×	egg-herbie

Rules

904×	`div-sub_binary64`
743×	`associate-/l*_binary64`
567×	`times-frac_binary64`
521×	`associate-/l/_binary64`
427×	`associate-/r/_binary64`
390×	`sub-neg_binary64`
318×	`distribute-rgt-in_binary64`
273×	`cancel-sign-sub-inv_binary64`
256×	`distribute-neg-frac_binary64`
247×	`distribute-lft-in_binary64`
214×	`distribute-rgt-neg-in_binary64`
199×	`unsub-neg_binary64`
187×	`associate-/r*_binary64`
179×	`distribute-lft-neg-in_binary64`
116×	`neg-mul-1_binary64`
113×	`associate-*l/_binary64`
98×	`*-commutative_binary64`
82×	`distribute-lft-neg-out_binary64`
74×	`neg-sub0_binary64` `distribute-frac-neg_binary64`
67×	`distribute-rgt-neg-out_binary64`
58×	`associate-r_binary64`
55×	`+-commutative_binary64`
54×	`associate--r+_binary64`
49×	`div0_binary64` `associate-l_binary64`
48×	`mul0-rgt_binary64`
45×	`associate-*r/_binary64`
44×	`mul0-lft_binary64`
42×	`remove-double-div_binary64`
38×	`associate--r-_binary64`
30×	`+-lft-identity_binary64`
26×	`distribute-neg-in_binary64` `associate--l-_binary64`
23×	`cancel-sign-sub_binary64`
22×	`/-rgt-identity_binary64` `remove-double-neg_binary64`
19×	`sub0-neg_binary64`
17×	`*-lft-identity_binary64`
14×	`associate-+l-_binary64` `associate-+r-_binary64` `associate-+l+_binary64`
10×	`*-rgt-identity_binary64` `distribute-rgt-out--_binary64` `distribute-rgt-out_binary64` `associate--l+_binary64`
8×	`distribute-neg-out_binary64`
7×	`--rgt-identity_binary64` `associate-+r+_binary64`
6×	`mul-1-neg_binary64`
5×	`+-rgt-identity_binary64`
4×	`distribute-lft-out_binary64`
2×	`distribute-lft-out--_binary64`
1×	`1-exp_binary64` `swap-sqr_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-pow_binary64` `log-rec_binary64` `log-div_binary64` `log-prod_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `unpow3_binary64` `unpow2_binary64` `unpow1/2_binary64` `pow-plus_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow1_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `exp-prod_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-unmult_binary64` `cube-mult_binary64` `cube-div_binary64` `cube-prod_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-sqrt-square_binary64` `rem-square-sqrt_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `pow-sqr_binary64` `sqr-pow_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `unswap-sqr_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `count-2_binary64`

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

prune3.0ms (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

30.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.3b	(.f64 (.f64 3 a) c)
0.4b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
30.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)

rewrite121.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

27.9b

Rules

20×	`add-sqr-sqrt_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `*-un-lft-identity_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
6×	`difference-of-squares_binary64` `times-frac_binary64` `associate-/l*_binary64`
4×	`cancel-sign-sub-inv_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
3×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64` `distribute-lft-out--_binary64` `pow-prod-down_binary64` `associate-r_binary64`
2×	`diff-log_binary64` `sub-neg_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `associate-/l/_binary64`
1×	`frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64` `associate-/r_binary64` `associate-l_binary64` `-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
5.0ms	(.f64 (.f64 3 a) c)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 1865 to 1088 computations (41.7% saved)

series189.0ms (2.4%)

Error

0.8b

Counts

4 → 60

Calls

4 calls:

63.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
49.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
41.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
15.0ms	(.f64 (.f64 3 a) c)

Compiler

Compiled 2012 to 1674 computations (16.8% saved)

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

701×	`associate-/l*_binary64`
244×	`distribute-rgt-in_binary64`
224×	`distribute-rgt-neg-in_binary64`
216×	`distribute-lft-in_binary64`
205×	`distribute-lft-neg-in_binary64`
181×	`cancel-sign-sub-inv_binary64`
170×	`associate-l_binary64`
166×	`associate-r_binary64`
162×	`associate-/r/_binary64`
152×	`associate-/l/_binary64`
112×	`*-commutative_binary64`
99×	`unswap-sqr_binary64`
79×	`sub-neg_binary64`
77×	`distribute-neg-frac_binary64`
76×	`times-frac_binary64`
75×	`associate-/r*_binary64`
73×	`neg-mul-1_binary64` `neg-sub0_binary64`
63×	`distribute-neg-in_binary64`
59×	`div-sub_binary64`
54×	`sqr-pow_binary64`
52×	`exp-prod_binary64`
45×	`+-commutative_binary64`
34×	`associate-*l/_binary64`
32×	`associate-*r/_binary64`
29×	`distribute-rgt-out_binary64`
25×	`cube-prod_binary64` `unsub-neg_binary64` `distribute-lft-neg-out_binary64`
24×	`associate-+r+_binary64`
22×	`associate-+l+_binary64`
21×	`log-prod_binary64`
18×	`swap-sqr_binary64` `associate--r+_binary64`
17×	`distribute-lft-out_binary64`
13×	`-rgt-identity_binary64` `-lft-identity_binary64`
12×	`distribute-rgt-neg-out_binary64`
10×	`unpow3_binary64`
9×	`cube-mult_binary64`
8×	`/-rgt-identity_binary64` `difference-of-squares_binary64`
7×	`exp-sum_binary64` `associate-+r-_binary64`
6×	`log-div_binary64` `exp-diff_binary64` `+-rgt-identity_binary64`
5×	`cube-unmult_binary64`
4×	`pow-plus_binary64` `pow-sqr_binary64`
3×	`unpow2_binary64` `unpow1/2_binary64` `unpow1_binary64` `exp-lft-cube_binary64` `exp-cbrt_binary64` `cube-div_binary64` `rem-sqrt-square_binary64` `mul-1-neg_binary64` `associate-+l-_binary64`
2×	`log-pow_binary64` `div-exp_binary64` `rem-square-sqrt_binary64` `distribute-neg-out_binary64` `distribute-lft-out--_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-3cbrt-lft_binary64` `remove-double-neg_binary64` `*-inverses_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `log-rec_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64`

Counts

137 → 107

Iterations

Useful iterations: 2 (0.0ms)

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

prune72.0ms (0.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	95	12	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	12	108

Error

0.6b

Counts

108 → 12

Compiler

Compiled 1913 to 1111 computations (41.9% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))
0.3b	(*.f64 (pow.f64 a 3) (pow.f64 c 4))
0.3b	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
0.3b	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))

rewrite498.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

210×	`add-exp-log_binary64`
112×	`prod-exp_binary64`
72×	`div-exp_binary64`
60×	`pow-to-exp_binary64` `pow-exp_binary64`
40×	`add-sqr-sqrt_binary64`
34×	`add-cbrt-cube_binary64`
28×	`unpow-prod-down_binary64`
21×	`add-cube-cbrt_binary64` `times-frac_binary64` `*-un-lft-identity_binary64`
18×	`associate-r_binary64`
15×	`associate-l_binary64`
14×	`sqr-pow_binary64` `associate-/r*_binary64`
13×	`unswap-sqr_binary64`
12×	`cbrt-unprod_binary64`
8×	`cbrt-undiv_binary64`
6×	`pow1_binary64` `cube-prod_binary64`
4×	`add-log-exp_binary64`
3×	`div-inv_binary64`
2×	`frac-2neg_binary64` `clear-num_binary64` `associate-/l_binary64` `-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64` `pow-prod-down_binary64` `associate-*r/_binary64`

Counts

4 → 206

Calls

4 calls:

14.0ms	(.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))
11.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
10.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
8.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 7971 to 5071 computations (36.4% saved)

series252.0ms (3.2%)

Error

0.6b

Counts

4 → 33

Calls

4 calls:

73.0ms	(/.f64 (*.f64 (pow.f64 a 3) (pow.f64 c 4)) (pow.f64 b 7))
72.0ms	(.f64 9/16 (/.f64 (.f64 (*.f64 a a) (pow.f64 c 3)) (pow.f64 b 5)))
69.0ms	(/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (pow.f64 b 5))
33.0ms	(*.f64 (pow.f64 a 3) (pow.f64 c 4))

Compiler

Compiled 3060 to 2411 computations (21.2% saved)

simplify170.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

566×	`unswap-sqr_binary64`
399×	`log-prod_binary64`
285×	`associate-/l*_binary64`
271×	`associate-l_binary64`
233×	`associate-r_binary64`
214×	`times-frac_binary64`
194×	`log-div_binary64`
138×	`associate-/r*_binary64`
100×	`*-commutative_binary64`
90×	`associate-*l/_binary64`
87×	`associate-*r/_binary64`
83×	`distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
77×	`sqr-pow_binary64`
75×	`associate-/l/_binary64`
73×	`cube-prod_binary64`
69×	`cancel-sign-sub-inv_binary64`
66×	`exp-prod_binary64`
57×	`swap-sqr_binary64`
51×	`cube-div_binary64`
45×	`sub-neg_binary64`
39×	`*-rgt-identity_binary64`
33×	`associate-/r/_binary64`
32×	`log-pow_binary64`
24×	`distribute-neg-frac_binary64` `+-commutative_binary64`
20×	`cube-unmult_binary64`
19×	`neg-mul-1_binary64` `neg-sub0_binary64` `/-rgt-identity_binary64` `associate--l+_binary64`
18×	`log-rec_binary64`
17×	`*-lft-identity_binary64`
11×	`pow-sqr_binary64`
10×	`associate-+r-_binary64`
9×	`pow-plus_binary64` `rem-sqrt-square_binary64`
8×	`distribute-rgt-in_binary64` `associate-+l+_binary64`
6×	`unpow3_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-neg-out_binary64` `distribute-lft-in_binary64`
5×	`associate-+r+_binary64`
4×	`unpow2_binary64` `unpow1_binary64` `cube-mult_binary64`
3×	`unsub-neg_binary64` `distribute-lft-out_binary64`
2×	`unpow1/2_binary64` `rem-square-sqrt_binary64` `div-sub_binary64` `distribute-neg-in_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `rem-cube-cbrt_binary64` `distribute-rgt-out_binary64` `count-2_binary64` `associate-+l-_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--r+_binary64`

Counts

239 → 173

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	269	4682
1	545	4253
2	2898	4217
3	4618	4217
4	5138	4217

prune121.0ms (1.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	172	13	185

Error

0.6b

Counts

185 → 13

Compiler

Compiled 3022 to 1927 computations (36.2% saved)

localize31.0ms (0.4%)

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 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite456.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

59×	`times-frac_binary64`
46×	`pow1_binary64`
44×	`add-exp-log_binary64`
36×	`unpow-prod-down_binary64`
33×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
26×	`add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `sqr-pow_binary64`
14×	`div-exp_binary64`
13×	`prod-exp_binary64`
12×	`pow-exp_binary64`
11×	`associate-/l*_binary64`
10×	`cbrt-unprod_binary64` `associate-*r/_binary64`
9×	`unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64`
8×	`pow-to-exp_binary64` `associate-/r*_binary64`
7×	`associate-/l/_binary64`
5×	`frac-sub_binary64`
4×	`add-log-exp_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `frac-add_binary64`
3×	`pow-unpow_binary64` `cbrt-undiv_binary64`
2×	`pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-plus_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64` `flip3-+_binary64` `flip-+_binary64`
1×	`pow2_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64` `*-commutative_binary64` `div-sub_binary64` `flip3--_binary64` `flip--_binary64`

Counts

4 → 179

Calls

4 calls:

29.0ms	(/.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))
8.0ms	(.f64 (.f64 a c) (*.f64 a c))
7.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 10405 to 6149 computations (40.9% saved)

series230.0ms (2.9%)

Error

0.6b

Counts

4 → 42

Calls

4 calls:

92.0ms	(/.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))
72.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
29.0ms	(.f64 (.f64 a c) (*.f64 a c))
28.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 3029 to 2344 computations (22.6% saved)

simplify209.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

348×	`associate-/l*_binary64`
295×	`associate-r_binary64`
280×	`times-frac_binary64`
262×	`associate-l_binary64`
166×	`associate-/r*_binary64`
163×	`log-div_binary64`
141×	`*-commutative_binary64`
110×	`div-sub_binary64`
104×	`associate-*l/_binary64`
100×	`associate-*r/_binary64`
99×	`log-prod_binary64`
98×	`associate-/l/_binary64`
84×	`exp-prod_binary64`
83×	`distribute-rgt-in_binary64`
81×	`sub-neg_binary64`
75×	`distribute-lft-in_binary64`
73×	`sqr-pow_binary64`
64×	`associate-/r/_binary64`
57×	`neg-mul-1_binary64` `neg-sub0_binary64`
47×	`cube-prod_binary64`
38×	`cube-div_binary64` `cancel-sign-sub-inv_binary64`
33×	`+-commutative_binary64`
32×	`distribute-rgt-neg-in_binary64` `associate-+r+_binary64`
29×	`associate-+l+_binary64`
27×	`distribute-lft-neg-in_binary64`
25×	`unswap-sqr_binary64`
24×	`log-pow_binary64` `swap-sqr_binary64`
18×	`unsub-neg_binary64` `distribute-neg-in_binary64` `associate--r+_binary64`
16×	`cube-unmult_binary64`
14×	`log-rec_binary64`
12×	`*-rgt-identity_binary64`
10×	`pow-sqr_binary64`
9×	`pow-plus_binary64`
8×	`/-rgt-identity_binary64`
7×	`rem-sqrt-square_binary64` `distribute-neg-frac_binary64`
6×	`unpow3_binary64`
5×	`cube-mult_binary64`
4×	`distribute-rgt-out--_binary64`
3×	`unpow1/2_binary64` `unpow1_binary64` `exp-cbrt_binary64` `distribute-lft-neg-out_binary64` `associate-+r-_binary64`
2×	`unpow2_binary64` `exp-diff_binary64` `*-lft-identity_binary64` `count-2_binary64` `associate--r-_binary64` `associate--l+_binary64` `associate-+l-_binary64`
1×	`exp-sum_binary64` `1-exp_binary64` `rem-cbrt-cube_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `+-rgt-identity_binary64` `distribute-rgt-out_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-neg_binary64` `e-exp-1_binary64` `exp-1-e_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `rem-square-sqrt_binary64` `mul-1-neg_binary64` `--rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-lft-out--_binary64` `distribute-lft-out_binary64` `associate--l-_binary64`

Counts

221 → 166

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	6441
1	756	5577
2	3968	5567
3	4876	5567
4	4949	5567

prune195.0ms (2.5%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	162	4	166
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	163	16	179

Error

0.5b

Counts

179 → 16

Compiler

Compiled 6044 to 3721 computations (38.4% saved)

localize35.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
0.4b	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
0.5b	(.f64 (.f64 a c) (*.f64 a c))
0.8b	(pow.f64 (*.f64 a c) 3)

rewrite450.0ms (5.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

56×	`times-frac_binary64`
51×	`add-exp-log_binary64`
48×	`unpow-prod-down_binary64`
47×	`add-sqr-sqrt_binary64`
46×	`pow1_binary64`
35×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
26×	`sqr-pow_binary64`
23×	`add-cbrt-cube_binary64`
21×	`prod-exp_binary64`
19×	`pow-prod-down_binary64`
18×	`pow-exp_binary64`
14×	`pow-to-exp_binary64`
12×	`div-exp_binary64`
10×	`cbrt-unprod_binary64`
9×	`unpow3_binary64` `cube-mult_binary64` `cube-prod_binary64` `unswap-sqr_binary64`
8×	`associate-l_binary64` `associate-r_binary64` `associate-/l*_binary64`
7×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
3×	`pow-unpow_binary64`
2×	`pow-pow_binary64` `rem-cube-cbrt_binary64` `pow-plus_binary64` `*-commutative_binary64`
1×	`pow2_binary64` `swap-sqr_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 192

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
7.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
7.0ms	(.f64 (.f64 a c) (*.f64 a c))
4.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 9295 to 5518 computations (40.6% saved)

series173.0ms (2.2%)

Error

0.5b

Counts

4 → 27

Calls

4 calls:

72.0ms	(/.f64 (pow.f64 (*.f64 a c) 3) (pow.f64 b 5))
34.0ms	(*.f64 (pow.f64 a 4) (pow.f64 c 4))
30.0ms	(.f64 (.f64 a c) (*.f64 a c))
29.0ms	(pow.f64 (*.f64 a c) 3)

Compiler

Compiled 2969 to 2186 computations (26.4% saved)

simplify147.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

743×	`associate-/r/_binary64`
501×	`log-prod_binary64`
466×	`unswap-sqr_binary64`
271×	`associate-/l*_binary64`
206×	`associate-l_binary64`
196×	`associate-r_binary64`
195×	`times-frac_binary64`
158×	`log-div_binary64`
126×	`exp-prod_binary64`
105×	`associate-/r*_binary64`
92×	`swap-sqr_binary64`
87×	`cube-prod_binary64` `sqr-pow_binary64`
86×	`associate-/l/_binary64`
74×	`distribute-rgt-neg-in_binary64`
73×	`distribute-lft-neg-in_binary64`
61×	`*-commutative_binary64`
40×	`cube-div_binary64`
39×	`cancel-sign-sub-inv_binary64`
33×	`log-pow_binary64`
32×	`associate-*l/_binary64`
30×	`distribute-neg-frac_binary64`
19×	`associate-*r/_binary64`
18×	`*-rgt-identity_binary64`
16×	`cube-unmult_binary64` `sub-neg_binary64` `pow-sqr_binary64`
14×	`log-rec_binary64` `rem-sqrt-square_binary64` `neg-mul-1_binary64` `neg-sub0_binary64`
12×	`*-lft-identity_binary64`
11×	`distribute-rgt-in_binary64`
9×	`distribute-lft-in_binary64`
8×	`/-rgt-identity_binary64` `+-commutative_binary64`
7×	`pow-plus_binary64` `unpow1_binary64` `count-2_binary64`
6×	`unpow2_binary64`
5×	`unpow3_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
4×	`cube-mult_binary64`
3×	`unpow1/2_binary64`
2×	`rem-square-sqrt_binary64`
1×	`1-exp_binary64` `exp-1-e_binary64` `rem-cbrt-cube_binary64` `distribute-neg-in_binary64` `distribute-lft-neg-out_binary64` `distribute-rgt-out_binary64` `distribute-lft-out_binary64`
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` `erf-erfc_binary64` `erf-odd_binary64` `if-if-and-not_binary64` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `not-gte_binary64` `not-lte_binary64` `not-gt_binary64` `not-lt_binary64` `gte-same_binary64` `lte-same_binary64` `gt-same_binary64` `lt-same_binary64` `sinh---cosh_binary64` `sinh-+-cosh_binary64` `sinh-cosh_binary64` `tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64` `cosh-def_binary64` `sinh-def_binary64` `tan-neg_binary64` `cos-neg_binary64` `sin-neg_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `hang-m-tan_binary64` `hang-p-tan_binary64` `hang-m0-tan_binary64` `hang-p0-tan_binary64` `hang-0m-tan_binary64` `hang-0p-tan_binary64` `tan-+PI/2_binary64` `tan-+PI_binary64` `tan-PI_binary64` `tan-PI/3_binary64` `tan-PI/4_binary64` `tan-PI/6_binary64` `cos-+PI/2_binary64` `cos-+PI_binary64` `cos-PI_binary64` `cos-PI/2_binary64` `cos-PI/3_binary64` `cos-PI/4_binary64` `cos-PI/6_binary64` `sin-+PI/2_binary64` `sin-+PI_binary64` `sin-PI_binary64` `sin-PI/2_binary64` `sin-PI/3_binary64` `sin-PI/4_binary64` `sin-PI/6_binary64` `sub-1-sin_binary64` `sub-1-cos_binary64` `-1-add-sin_binary64` `-1-add-cos_binary64` `1-sub-sin_binary64` `1-sub-cos_binary64` `cos-sin-sum_binary64` `log-E_binary64` `pow-base-0_binary64` `unpow1/3_binary64` `exp-to-pow_binary64` `pow-base-1_binary64` `unpow0_binary64` `unpow-1_binary64` `exp-lft-cube_binary64` `exp-lft-sqr_binary64` `exp-cbrt_binary64` `exp-sqrt_binary64` `div-exp_binary64` `rec-exp_binary64` `prod-exp_binary64` `exp-diff_binary64` `exp-neg_binary64` `exp-sum_binary64` `e-exp-1_binary64` `exp-0_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `cube-neg_binary64` `rem-3cbrt-rft_binary64` `rem-3cbrt-lft_binary64` `rem-cube-cbrt_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `div-sub_binary64` `unsub-neg_binary64` `mul-1-neg_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `mul0-rgt_binary64` `mul0-lft_binary64` `div0_binary64` `*-inverses_binary64` `+-inverses_binary64` `lft-mult-inverse_binary64` `rgt-mult-inverse_binary64` `remove-double-div_binary64` `difference-of-sqr--1_binary64` `difference-of-sqr-1_binary64` `difference-of-squares_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64` `distribute-rgt1-in_binary64` `distribute-lft1-in_binary64` `distribute-rgt-out--_binary64` `distribute-lft-out--_binary64` `associate--r-_binary64` `associate--l-_binary64` `associate--l+_binary64` `associate--r+_binary64` `associate-+l-_binary64` `associate-+r-_binary64`

Counts

219 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	3357
1	429	3090
2	2286	3066
3	4774	3066
4	5427	3066

prune156.0ms (2%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	13	13
Picked	0	1	1
Done	0	2	2
Total	163	16	179

Error

0.5b

Counts

179 → 16

Compiler

Compiled 3662 to 2173 computations (40.7% saved)

regimes1.6s (19.8%)

Accuracy

Total 4.6b remaining (87.5%)

Threshold costs 0b (0%)

Compiler

Compiled 34140 to 23455 computations (31.3% saved)

bsearch30.0ms (0.4%)

Steps

Iters	Range		Point
4	0.4918531552066593	0.8310714176807812	0.5596924276280759

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

31×	`*-commutative_binary64`
27×	`+-commutative_binary64`
25×	`sub-neg_binary64`
21×	`neg-mul-1_binary64` `neg-sub0_binary64`
19×	`distribute-rgt-neg-in_binary64`
18×	`distribute-lft-neg-in_binary64`
5×	`cancel-sign-sub-inv_binary64`
3×	`distribute-neg-frac_binary64`
2×	`unsub-neg_binary64` `distribute-neg-in_binary64`
1×	`distribute-lft-neg-out_binary64`
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` `if-if-and_binary64` `if-if-or-not_binary64` `if-if-or_binary64` `if-not_binary64` `if-same_binary64` `if-false_binary64` `if-true_binary64` `tan-0_binary64` `cos-0_binary64` `sin-0_binary64` `unpow1_binary64` `e-exp-1_binary64` `1-exp_binary64` `exp-1-e_binary64` `exp-0_binary64` `sqr-abs_binary64` `sqr-neg_binary64` `mul-1-neg_binary64` `/-rgt-identity_binary64` `-rgt-identity_binary64` `-lft-identity_binary64` `remove-double-neg_binary64` `sub0-neg_binary64` `--rgt-identity_binary64` `+-rgt-identity_binary64` `+-lft-identity_binary64` `cancel-sign-sub_binary64` `distribute-frac-neg_binary64` `distribute-neg-out_binary64` `distribute-rgt-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	118
1	79	118
2	105	118
3	147	118
4	180	118
5	213	118
6	236	118
7	246	118
8	249	118
9	245	118

end2.0ms (0%)

Compiler: Compiled 79 to 53 computations (32.9% saved)

sample1.9s (24%)

Algorithm

1×

intervals

Results

381.0ms	7700×	body	128	valid
269.0ms	8966×	pre	128	true
50.0ms	966×	body	128	nan
27.0ms	300×	body	256	valid

Compiler

Compiled 1149 to 784 computations (31.8% saved)

Iter	Nodes	Cost
0	48	118
1	79	118
2	105	118
3	147	118
4	180	118
5	213	118
6	236	118
7	246	118
8	249	118
9	245	118

Iter	Nodes	Cost
0	48	118
1	79	118
2	105	118
3	147	118
4	180	118
5	213	118
6	236	118
7	246	118
8	249	118
9	245	118

Details

analyze418.0ms (5.3%)

sample37.0ms (0.5%)

simplify321.0ms (4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite121.0ms (1.5%)

series189.0ms (2.4%)

simplify94.0ms (1.2%)

prune72.0ms (0.9%)

localize29.0ms (0.4%)

rewrite498.0ms (6.3%)

series252.0ms (3.2%)

simplify170.0ms (2.1%)

prune121.0ms (1.5%)

localize31.0ms (0.4%)

rewrite456.0ms (5.7%)

series230.0ms (2.9%)

simplify209.0ms (2.6%)

prune195.0ms (2.5%)

localize35.0ms (0.4%)

rewrite450.0ms (5.7%)

series173.0ms (2.2%)

simplify147.0ms (1.9%)

prune156.0ms (2%)

regimes1.6s (19.8%)

bsearch30.0ms (0.4%)

simplify13.0ms (0.2%)

end2.0ms (0%)

sample1.9s (24%)

Profiling

Iter	Nodes	Cost
0	48	118
1	79	118
2	105	118
3	147	118
4	180	118
5	213	118
6	236	118
7	246	118
8	249	118
9	245	118