Details

analyze8.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample49.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	60×	body	1024	valid
13.0ms	35×	body	512	valid
8.0ms	130×	body	128	valid
3.0ms	10×	body	2048	valid
2.0ms	21×	body	256	valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify297.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	681	19
1	681	19

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 31.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 1) (-.f64 x 1))
0.0b	(/.f64 x (+.f64 x 1))
3.1b	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite149.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`*-un-lft-identity_binary64_2465`
88×	`times-frac_binary64_2471`
85×	`add-sqr-sqrt_binary64_2487`
37×	`add-cube-cbrt_binary64_2500`
34×	`cancel-sign-sub-inv_binary64_2431`
27×	`distribute-lft-out_binary64_2416`
22×	`difference-of-squares_binary64_2434` `distribute-lft-out--_binary64_2417`
11×	`associate-/r*_binary64_2409`
9×	`difference-of-sqr-1_binary64_2435`
7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l*_binary64_2410`
6×	`associate-/r/_binary64_2411`
5×	`add-log-exp_binary64_2504`
3×	`flip--_binary64_2440` `div-inv_binary64_2462` `pow1_binary64_2526` `flip3--_binary64_2469`
2×	`flip3-+_binary64_2468` `associate-/l/_binary64_2412` `flip-+_binary64_2439` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `frac-2neg_binary64_2476`
1×	`sub-neg_binary64_2458` `diff-log_binary64_2557` `frac-sub_binary64_2474`

Counts

3 → 147

Calls

3 calls:

91.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
17.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))
11.0ms	(/.f64 x (+.f64 x 1))

series113.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
25.0ms	(/.f64 x (+.f64 x 1))
24.0ms	(/.f64 (+.f64 x 1) (-.f64 x 1))

simplify155.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5658	2774

prune383.0ms (4.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	152	4	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	4	157

Merged error: 0.0b

Counts

157 → 4

Compiler

Compiled 3126 to 2207 computations (29.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
0.2b	(/.f64 -1 (*.f64 x x))
0.5b	(/.f64 3 (pow.f64 x 3))
5.6b	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))

rewrite171.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`*-un-lft-identity_binary64_2465`
68×	`times-frac_binary64_2471`
44×	`add-sqr-sqrt_binary64_2487`
40×	`add-cube-cbrt_binary64_2500`
14×	`unpow3_binary64_2531` `add-exp-log_binary64_2503`
13×	`associate-/r*_binary64_2409` `cancel-sign-sub-inv_binary64_2431`
12×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
11×	`add-log-exp_binary64_2504` `add-cbrt-cube_binary64_2501` `distribute-lft-out_binary64_2416`
8×	`distribute-rgt-out_binary64_2418`
6×	`div-inv_binary64_2462` `associate-/l*_binary64_2410`
5×	`div-exp_binary64_2516`
4×	`cube-mult_binary64_2495` `sqr-pow_binary64_2437` `pow1_binary64_2526`
3×	`cbrt-undiv_binary64_2499` `frac-sub_binary64_2474`
2×	`flip3-+_binary64_2468` `difference-of-squares_binary64_2434` `sum-log_binary64_2556` `flip-+_binary64_2439` `clear-num_binary64_2464` `distribute-rgt1-in_binary64_2421` `distribute-lft-out--_binary64_2417` `diff-log_binary64_2557` `frac-2neg_binary64_2476` `frac-add_binary64_2473`
1×	`associate--r+_binary64_2401` `+-commutative_binary64_2395` `flip--_binary64_2440` `pow-exp_binary64_2533` `sub-neg_binary64_2458` `pow-to-exp_binary64_2534` `prod-exp_binary64_2514` `flip3--_binary64_2469` `cbrt-unprod_binary64_2498`

Counts

4 → 141

Calls

4 calls:

66.0ms	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))
63.0ms	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
9.0ms	(/.f64 3 (pow.f64 x 3))
7.0ms	(/.f64 -1 (*.f64 x x))

series207.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

94.0ms	(+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3)))
50.0ms	(/.f64 3 (pow.f64 x 3))
32.0ms	(/.f64 -1 (*.f64 x x))
30.0ms	(-.f64 (/.f64 -1 (*.f64 x x)) (+.f64 (/.f64 3 x) (/.f64 3 (pow.f64 x 3))))

simplify141.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5045	2493

prune302.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	152	5	157

Merged error: 0.0b

Counts

157 → 5

Compiler

Compiled 3268 to 2279 computations (30.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
0.2b	(/.f64 -1 (*.f64 x x))
0.5b	(/.f64 1 (pow.f64 x 3))
5.6b	(-.f64 (/.f64 -1 (.f64 x x)) (.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))

rewrite117.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471`
39×	`add-sqr-sqrt_binary64_2487`
37×	`add-cube-cbrt_binary64_2500`
20×	`add-exp-log_binary64_2503`
16×	`associate-r_binary64_2405`
13×	`associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
12×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
10×	`unpow3_binary64_2531`
8×	`div-exp_binary64_2516`
7×	`div-inv_binary64_2462` `distribute-lft-out_binary64_2416`
6×	`add-log-exp_binary64_2504` `associate-r/_binary64_2407` `pow1_binary64_2526` `associate-/l_binary64_2410`
5×	`distribute-rgt-out_binary64_2418`
4×	`cube-mult_binary64_2495` `sqr-pow_binary64_2437`
3×	`rec-exp_binary64_2515` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `1-exp_binary64_2509` `associate-l_binary64_2406` `frac-sub_binary64_2474`
2×	`flip3-+_binary64_2468` `associate--r+_binary64_2401` `distribute-lft-in_binary64_2414` `flip-+_binary64_2439` `clear-num_binary64_2464` `distribute-rgt-in_binary64_2415` `prod-exp_binary64_2514` `frac-2neg_binary64_2476` `frac-add_binary64_2473` `cbrt-unprod_binary64_2498`
1×	`*-commutative_binary64_2396` `flip--_binary64_2440` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `distribute-rgt1-in_binary64_2421` `sub-neg_binary64_2458` `unswap-sqr_binary64_2433` `cancel-sign-sub-inv_binary64_2431` `diff-log_binary64_2557` `pow-prod-down_binary64_2536` `flip3--_binary64_2469`

Counts

4 → 147

Calls

4 calls:

58.0ms	(*.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
14.0ms	(-.f64 (/.f64 -1 (.f64 x x)) (.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))
11.0ms	(/.f64 1 (pow.f64 x 3))
8.0ms	(/.f64 -1 (*.f64 x x))

series151.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(*.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
31.0ms	(/.f64 1 (pow.f64 x 3))
27.0ms	(/.f64 -1 (*.f64 x x))
25.0ms	(-.f64 (/.f64 -1 (.f64 x x)) (.f64 3 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))))

simplify125.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4947	2072
1	4947	2072

prune345.0ms (3.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	159	5	164

Merged error: 0.0b

Counts

164 → 5

Compiler

Compiled 3493 to 2505 computations (28.3% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
0.0b	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
3.0b	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))

rewrite341.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

434×	`*-un-lft-identity_binary64_2465`
272×	`times-frac_binary64_2471`
228×	`add-sqr-sqrt_binary64_2487`
100×	`add-cube-cbrt_binary64_2500`
96×	`swap-sqr_binary64_2432`
93×	`distribute-lft-out_binary64_2416`
53×	`difference-of-squares_binary64_2434`
52×	`associate-r_binary64_2405` `associate-l_binary64_2406`
36×	`distribute-lft-out--_binary64_2417`
32×	`difference-of-sqr-1_binary64_2435`
28×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
18×	`pow1_binary64_2526`
16×	`associate-/r/_binary64_2411`
9×	`frac-sub_binary64_2474`
8×	`associate-l/_binary64_2408` `add-log-exp_binary64_2504` `frac-times_binary64_2475` `associate-r/_binary64_2407` `cbrt-undiv_binary64_2499` `unswap-sqr_binary64_2433` `div-exp_binary64_2516` `div-inv_binary64_2462` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
5×	`flip3-+_binary64_2468` `flip--_binary64_2440` `flip-+_binary64_2439` `flip3--_binary64_2469`
2×	`*-commutative_binary64_2396` `pow-plus_binary64_2528` `pow2_binary64_2546` `pow-prod-down_binary64_2536` `pow-sqr_binary64_2438` `pow-prod-up_binary64_2535`
1×	`+-commutative_binary64_2395` `sum-log_binary64_2556` `sub-neg_binary64_2458` `cancel-sign-sub-inv_binary64_2431` `diff-log_binary64_2557` `frac-add_binary64_2473`

Counts

4 → 299

Calls

4 calls:

85.0ms	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
74.0ms	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
39.0ms	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))
33.0ms	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))

series182.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(-.f64 (.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1))) (.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1))))
43.0ms	(+.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
28.0ms	(*.f64 (/.f64 (+.f64 x 1) (-.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
26.0ms	(*.f64 (/.f64 x (+.f64 x 1)) (/.f64 x (+.f64 x 1)))

simplify230.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

311 → 311

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5017	7255

prune1.6s (18.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	309	2	311
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	311	5	316

Merged error: 0b

Counts

316 → 5

Compiler

Compiled 14425 to 10322 computations (28.4% saved)

regimes401.0ms (4.5%)

Compiler: Compiled 2213 to 1690 computations (23.6% saved)

bsearch91.0ms (1%)

Steps

Iters	Range		Point
9	378.69906577529343	3149958116.030756	10696.905064826944
8	-284833.5721700117	-61.98417511443069	-12732.029291456316

Compiler

Compiled 1 to 1 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	91	136
1	91	136

end0.0ms (0%)

sample3.1s (35.6%)

Algorithm

1×

intervals

Results

497.0ms	2004×	body	1024	valid
282.0ms	4309×	body	128	valid
185.0ms	992×	body	512	valid
71.0ms	234×	body	2048	valid
57.0ms	461×	body	256	valid

Compiler

Compiled 1126 to 861 computations (23.5% saved)

Details

analyze8.0ms (0.1%)

sample49.0ms (0.6%)

simplify297.0ms (3.4%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite149.0ms (1.7%)

series113.0ms (1.3%)

simplify155.0ms (1.8%)

prune383.0ms (4.3%)

localize18.0ms (0.2%)

rewrite171.0ms (1.9%)

series207.0ms (2.3%)

simplify141.0ms (1.6%)

prune302.0ms (3.4%)

localize20.0ms (0.2%)

rewrite117.0ms (1.3%)

series151.0ms (1.7%)

simplify125.0ms (1.4%)

prune345.0ms (3.9%)

localize24.0ms (0.3%)

rewrite341.0ms (3.9%)

series182.0ms (2.1%)

simplify230.0ms (2.6%)

prune1.6s (18.5%)

regimes401.0ms (4.5%)

bsearch91.0ms (1%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.1s (35.6%)

Profiling