Details

analyze904.0ms (5.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample127.0ms (0.8%)

Algorithm

1×

intervals

Results

36.0ms	488×	body	128	nan
22.0ms	256×	body	128	valid
22.0ms	259×	body	128	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5001	24

prune6.0ms (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

Error

0.2b

Counts

2 → 2

Compiler

Compiled 50 to 47 computations (6% saved)

localize18.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.0b	(.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b)))
0.0b	(+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a)))
0.0b	(-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b)
0.1b	(*.f64 (-.f64 t 1) (log.f64 a))
0.3b	(*.f64 y (log.f64 z))
0.8b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
0.8b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

rewrite47.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_12376`
21×	`*-un-lft-identity_binary64_12354`
16×	`add-cube-cbrt_binary64_12389`
13×	`add-cbrt-cube_binary64_12390`
12×	`log-prod_binary64_12440` `add-exp-log_binary64_12392`
10×	`add-log-exp_binary64_12393` `associate-l_binary64_12295` `pow1_binary64_12415`
8×	`associate-r_binary64_12294`
6×	`distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
5×	`exp-sum_binary64_12400` `exp-prod_binary64_12406`
3×	`associate-/r*_binary64_12298` `cbrt-unprod_binary64_12387` `rem-exp-log_binary64_12394` `difference-of-squares_binary64_12323` `prod-exp_binary64_12403` `cancel-sign-sub-inv_binary64_12320` `times-frac_binary64_12360`
2×	`pow-prod-down_binary64_12425` `diff-log_binary64_12446` `cbrt-undiv_binary64_12388` `log-pow_binary64_12443` `distribute-lft-out--_binary64_12306` `associate-l/_binary64_12297` `unswap-sqr_binary64_12322` `div-exp_binary64_12405` `exp-diff_binary64_12402` `-commutative_binary64_12285`
1×	`flip--_binary64_12329` `clear-num_binary64_12353` `associate-/l_binary64_12299` `div-inv_binary64_12351` `frac-2neg_binary64_12365` `associate-/l/_binary64_12301` `sum-log_binary64_12445` `associate-r/_binary64_12296` `flip3--_binary64_12358` `sub-neg_binary64_12347` `difference-of-sqr-1_binary64_12324` `associate--l+_binary64_12291`

Counts

4 → 99

Calls

8 calls:

13.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
5.0ms	(*.f64 y (log.f64 z))
0.0ms	(-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b)

series1.9s (11.9%)

Counts

4 → 62

Calls

4 calls:

1.0s	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
538.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
160.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
116.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 2730 to 2005 computations (26.6% saved)

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5066	3067

prune196.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	156	5	161
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	157	6	163

Error

0.0b

Counts

163 → 6

Compiler

Compiled 3591 to 1645 computations (54.2% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.9b	(/.f64 (*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))) y)
0.3b	(pow.f64 a (-.f64 t 1))
0.3b	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
0.0b	(*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
0.0b	(*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
0.3b	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
0.3b	(pow.f64 a (-.f64 t 1))
0.9b	(/.f64 (*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))) y)

rewrite56.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`times-frac_binary64_12360`
69×	`add-sqr-sqrt_binary64_12376`
58×	`*-un-lft-identity_binary64_12354`
55×	`add-cube-cbrt_binary64_12389`
37×	`associate-r_binary64_12294`
32×	`unpow-prod-up_binary64_12432`
27×	`add-exp-log_binary64_12392`
25×	`unpow-prod-down_binary64_12433`
24×	`cancel-sign-sub-inv_binary64_12320`
20×	`add-cbrt-cube_binary64_12390`
14×	`div-exp_binary64_12405`
12×	`associate-/l*_binary64_12299`
9×	`sqr-pow_binary64_12326`
8×	`prod-exp_binary64_12403` `sub-neg_binary64_12347`
7×	`pow-unpow_binary64_12431` `pow1_binary64_12415`
6×	`associate-/r*_binary64_12298` `cbrt-undiv_binary64_12388`
4×	`cbrt-unprod_binary64_12387` `add-log-exp_binary64_12393` `pow-exp_binary64_12422` `unswap-sqr_binary64_12322` `pow-to-exp_binary64_12423`
3×	`div-inv_binary64_12351` `associate-l_binary64_12295`
2×	`clear-num_binary64_12353` `pow-sub_binary64_12430` `frac-2neg_binary64_12365` `associate-/l/_binary64_12301` `difference-of-squares_binary64_12323` `associate-*r/_binary64_12296`
1×	`pow-prod-down_binary64_12425` `distribute-lft-out--_binary64_12306` `pow-pow_binary64_12426` `*-commutative_binary64_12285` `difference-of-sqr-1_binary64_12324`

Counts

4 → 174

Calls

8 calls:

16.0ms	(*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
11.0ms	(/.f64 (*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))) y)
7.0ms	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
5.0ms	(pow.f64 a (-.f64 t 1))
0.0ms	(*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))

series1.4s (8.9%)

Counts

4 → 57

Calls

4 calls:

618.0ms	(/.f64 (*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))) y)
402.0ms	(*.f64 x (/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b)))
243.0ms	(/.f64 (pow.f64 a (-.f64 t 1)) (exp.f64 b))
111.0ms	(pow.f64 a (-.f64 t 1))

Compiler

Compiled 1633 to 1564 computations (4.2% saved)

simplify116.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4945	4347
1	4945	4347

prune243.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	229	2	231
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	230	7	237

Error

0.0b

Counts

237 → 7

Compiler

Compiled 4384 to 2118 computations (51.7% saved)

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

0.9b	(/.f64 (.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))) y)
0.3b	(*.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))
0.0b	(.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a)))
0.0b	(.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a)))
0.3b	(*.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))
0.9b	(/.f64 (.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))) y)

rewrite43.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-exp-log_binary64_12392`
32×	`prod-exp_binary64_12403`
31×	`add-cbrt-cube_binary64_12390`
28×	`add-sqr-sqrt_binary64_12376`
17×	`div-exp_binary64_12405`
15×	`*-un-lft-identity_binary64_12354` `times-frac_binary64_12360` `add-cube-cbrt_binary64_12389`
14×	`associate-r_binary64_12294`
12×	`cbrt-unprod_binary64_12387`
10×	`associate-l_binary64_12295`
7×	`cbrt-undiv_binary64_12388`
6×	`pow-exp_binary64_12422` `unswap-sqr_binary64_12322` `pow-to-exp_binary64_12423`
5×	`unpow-prod-down_binary64_12433` `pow1_binary64_12415` `associate-*r/_binary64_12296`
3×	`associate-/r*_binary64_12298` `add-log-exp_binary64_12393` `sqr-pow_binary64_12326`
2×	`div-inv_binary64_12351` `*-commutative_binary64_12285`
1×	`pow-prod-down_binary64_12425` `clear-num_binary64_12353` `associate-/l*_binary64_12299` `frac-2neg_binary64_12365` `associate-/l/_binary64_12301`

Counts

3 → 97

Calls

6 calls:

12.0ms	(/.f64 (.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))) y)
11.0ms	(*.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))
11.0ms	(.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a)))
0.0ms	(.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a)))
0.0ms	(*.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))

series1.4s (9.3%)

Counts

3 → 47

Calls

3 calls:

681.0ms	(/.f64 (.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))) y)
469.0ms	(.f64 x (.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a)))
290.0ms	(*.f64 (pow.f64 a t) (/.f64 (exp.f64 (neg.f64 b)) a))

Compiler

Compiled 1406 to 1259 computations (10.5% saved)

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5001	2822

prune110.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	145	6	151

Error

0.0b

Counts

151 → 6

Compiler

Compiled 2546 to 561 computations (78% saved)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.9b	(/.f64 (/.f64 (*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b))) a) y)
0.3b	(/.f64 (pow.f64 a t) (exp.f64 b))
0.0b	(/.f64 (*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b))) a)
0.0b	(*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b)))
0.0b	(/.f64 (*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b))) a)
0.0b	(*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b)))
0.3b	(/.f64 (pow.f64 a t) (exp.f64 b))
0.9b	(/.f64 (/.f64 (*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b))) a) y)

rewrite55.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`times-frac_binary64_12360`
63×	`add-sqr-sqrt_binary64_12376`
53×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
46×	`add-exp-log_binary64_12392`
34×	`add-cbrt-cube_binary64_12390`
28×	`div-exp_binary64_12405`
25×	`associate-r_binary64_12294`
22×	`unpow-prod-down_binary64_12433`
15×	`associate-/l*_binary64_12299`
14×	`cbrt-undiv_binary64_12388`
12×	`prod-exp_binary64_12403`
9×	`associate-/r*_binary64_12298`
8×	`div-inv_binary64_12351` `sqr-pow_binary64_12326`
6×	`cbrt-unprod_binary64_12387` `pow1_binary64_12415`
4×	`add-log-exp_binary64_12393` `pow-exp_binary64_12422` `unswap-sqr_binary64_12322` `pow-to-exp_binary64_12423`
3×	`clear-num_binary64_12353` `frac-2neg_binary64_12365` `associate-l_binary64_12295`
2×	`associate-/l/_binary64_12301` `associate-*r/_binary64_12296`
1×	`pow-prod-down_binary64_12425` `*-commutative_binary64_12285`

Counts

4 → 171

Calls

8 calls:

12.0ms	(*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b)))
12.0ms	(/.f64 (/.f64 (*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b))) a) y)
9.0ms	(/.f64 (*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b))) a)
6.0ms	(/.f64 (pow.f64 a t) (exp.f64 b))
0.0ms	(*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b)))

series1.6s (10.6%)

Counts

4 → 63

Calls

4 calls:

661.0ms	(/.f64 (/.f64 (*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b))) a) y)
432.0ms	(/.f64 (*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b))) a)
349.0ms	(*.f64 x (/.f64 (pow.f64 a t) (exp.f64 b)))
206.0ms	(/.f64 (pow.f64 a t) (exp.f64 b))

Compiler

Compiled 1731 to 1565 computations (9.6% saved)

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5013	4592

prune164.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	234	0	234
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	234	6	240

Error

0.0b

Counts

240 → 6

Compiler

Compiled 4255 to 833 computations (80.4% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	242	908
1	242	908

regimes595.0ms (3.8%)

Compiler: Compiled 5426 to 5417 computations (0.2% saved)

bsearch0.0ms (0%)

regimes208.0ms (1.3%)

Compiler: Compiled 2105 to 1853 computations (12% saved)

bsearch0.0ms (0%)

regimes242.0ms (1.6%)

Compiler: Compiled 1376 to 1194 computations (13.2% saved)

bsearch361.0ms (2.3%)

Steps

Iters	Range		Point
9	5.016469568477912e-05	2615.8219625132147	473.3663386303636
8	4.036066706736649e-206	1.876294083762685e-202	3.7659505387627232e-205
9	-6.663865622564475e-249	-1.3647722534811183e-256	-1.3978983991038887e-256

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes231.0ms (1.5%)

Compiler: Compiled 1222 to 1047 computations (14.3% saved)

bsearch362.0ms (2.3%)

Steps

Iters	Range		Point
9	5.016469568477912e-05	2615.8219625132147	30.30279161798115
8	4.036066706736649e-206	1.876294083762685e-202	7.01325613414813e-206
9	-6.663865622564475e-249	-1.3647722534811183e-256	-1.6629075640860505e-256

Compiler

Compiled 1 to 6 computations (-500% saved)

regimes84.0ms (0.5%)

Accuracy

Total 1.9b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 641 to 543 computations (15.3% saved)

bsearch15.0ms (0.1%)

Compiler: Compiled 342 to 229 computations (33% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	100	447
1	100	447

end0.0ms (0%)

sample4.5s (29.2%)

Algorithm

1×

intervals

Results

1.1s	14493×	body	128	nan
706.0ms	8000×	body	128	valid
651.0ms	7341×	body	128	invalid

Compiler

Compiled 969 to 856 computations (11.7% saved)

Pareto

0.33648371900005997

Details

analyze904.0ms (5.8%)

sample127.0ms (0.8%)

simplify150.0ms (1%)

prune6.0ms (0%)

localize18.0ms (0.1%)

rewrite47.0ms (0.3%)

series1.9s (11.9%)

simplify84.0ms (0.5%)

prune196.0ms (1.3%)

localize13.0ms (0.1%)

rewrite56.0ms (0.4%)

series1.4s (8.9%)

simplify116.0ms (0.7%)

prune243.0ms (1.6%)

localize12.0ms (0.1%)

rewrite43.0ms (0.3%)

series1.4s (9.3%)

simplify99.0ms (0.6%)

prune110.0ms (0.7%)

localize13.0ms (0.1%)

rewrite55.0ms (0.4%)

series1.6s (10.6%)

simplify113.0ms (0.7%)

prune164.0ms (1.1%)

simplify14.0ms (0.1%)

regimes595.0ms (3.8%)

bsearch0.0ms (0%)

regimes208.0ms (1.3%)

bsearch0.0ms (0%)

regimes242.0ms (1.6%)

bsearch361.0ms (2.3%)

regimes231.0ms (1.5%)

bsearch362.0ms (2.3%)

regimes84.0ms (0.5%)

bsearch15.0ms (0.1%)

simplify7.0ms (0%)

end0.0ms (0%)

sample4.5s (29.2%)

Profiling