Details

analyze1.8s (4.2%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5349	384
0	6	6
1	6	6

Search

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

Compiler

Compiled 38 to 36 computations (5.3% saved)

sample13.8s (32.6%)

Algorithm

2×

intervals

Results

256.0ms	2848×	body	128	nan
46.0ms	484×	body	128	invalid
42.0ms	512×	body	128	valid

Compiler

Compiled 37961 to 47945 computations (-26.3% saved)

simplify58.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

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

0.3b

Counts

2 → 2

Compiler

Compiled 50 to 47 computations (6% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 t 1) (log.f64 a))
0.3b	(*.f64 y (log.f64 z))
0.9b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
1.7b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)

rewrite184.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

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

Counts

4 → 99

Calls

4 calls:

12.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
5.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 2549 to 1233 computations (51.6% saved)

series2.8s (6.6%)

Error

0.3b

Counts

4 → 66

Calls

4 calls:

1.5s	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
749.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))
253.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
211.0ms	(*.f64 y (log.f64 z))

Compiler

Compiled 4660 to 2465 computations (47.1% saved)

simplify108.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4965	3360
1	4965	3360

prune198.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	160	5	165
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	161	6	167

Error

0.0b

Counts

167 → 6

Compiler

Compiled 3837 to 1469 computations (61.7% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite347.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

169×	`add-exp-log_binary64_12392`
132×	`times-frac_binary64_12360`
127×	`div-exp_binary64_12405`
117×	`add-sqr-sqrt_binary64_12376`
69×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
61×	`add-cbrt-cube_binary64_12390`
48×	`prod-exp_binary64_12403`
38×	`unpow-prod-down_binary64_12433`
29×	`cbrt-undiv_binary64_12388`
25×	`pow-to-exp_binary64_12423` `pow-exp_binary64_12422` `associate-l_binary64_12295` `associate-r_binary64_12294`
18×	`sqr-pow_binary64_12326`
16×	`associate-/r/_binary64_12300` `unswap-sqr_binary64_12322`
14×	`associate-/r*_binary64_12298`
13×	`associate-/l*_binary64_12299`
12×	`cbrt-unprod_binary64_12387`
9×	`div-inv_binary64_12351`
6×	`pow1_binary64_12415` `frac-times_binary64_12364` `associate-l/_binary64_12297` `associate-r/_binary64_12296`
4×	`add-log-exp_binary64_12393`
3×	`frac-2neg_binary64_12365` `clear-num_binary64_12353`
1×	`pow-prod-down_binary64_12425` `*-commutative_binary64_12285`

Counts

4 → 263

Calls

4 calls:

29.0ms	(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))
16.0ms	(/.f64 x (/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))))
13.0ms	(/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))))
6.0ms	(/.f64 (pow.f64 a t) (exp.f64 b))

Compiler

Compiled 6858 to 1225 computations (82.1% saved)

series4.9s (11.5%)

Error

0.0b

Counts

4 → 90

Calls

4 calls:

1.7s	(/.f64 x (/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))))
1.5s	(/.f64 y (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))))
1.2s	(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))
322.0ms	(/.f64 (pow.f64 a t) (exp.f64 b))

Compiler

Compiled 6139 to 3325 computations (45.8% saved)

simplify107.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

353 → 353

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5223	9790

prune337.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	351	2	353
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	353	6	359

Error

0.0b

Counts

359 → 6

Compiler

Compiled 8603 to 1659 computations (80.7% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))
0.1b	(/.f64 (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))) y)
0.3b	(/.f64 (pow.f64 a t) (exp.f64 b))
0.5b	(.f64 x (/.f64 (.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))) y))

rewrite306.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

169×	`add-exp-log_binary64_12392`
109×	`div-exp_binary64_12405`
103×	`add-sqr-sqrt_binary64_12376`
93×	`times-frac_binary64_12360`
66×	`prod-exp_binary64_12403`
61×	`add-cbrt-cube_binary64_12390`
53×	`add-cube-cbrt_binary64_12389` `*-un-lft-identity_binary64_12354`
38×	`unpow-prod-down_binary64_12433`
32×	`associate-r_binary64_12294`
28×	`associate-l_binary64_12295`
25×	`pow-to-exp_binary64_12423` `pow-exp_binary64_12422`
23×	`cbrt-undiv_binary64_12388`
18×	`cbrt-unprod_binary64_12387` `sqr-pow_binary64_12326`
17×	`unswap-sqr_binary64_12322`
8×	`pow1_binary64_12415` `associate-/l*_binary64_12299`
6×	`associate-/r*_binary64_12298`
5×	`div-inv_binary64_12351`
4×	`add-log-exp_binary64_12393`
3×	`associate-*r/_binary64_12296` `associate-/l/_binary64_12301`
2×	`pow-prod-down_binary64_12425` `-commutative_binary64_12285` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `frac-times_binary64_12364` `associate-l/_binary64_12297`

Counts

4 → 230

Calls

4 calls:

23.0ms	(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))
16.0ms	(.f64 x (/.f64 (.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))) y))
14.0ms	(/.f64 (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))) y)
8.0ms	(/.f64 (pow.f64 a t) (exp.f64 b))

Compiler

Compiled 6016 to 1104 computations (81.6% saved)

series4.7s (11.1%)

Error

0.0b

Counts

4 → 90

Calls

4 calls:

1.8s	(.f64 x (/.f64 (.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))) y))
1.3s	(/.f64 (*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b))) y)
1.2s	(*.f64 (/.f64 (pow.f64 z y) a) (/.f64 (pow.f64 a t) (exp.f64 b)))
330.0ms	(/.f64 (pow.f64 a t) (exp.f64 b))

Compiler

Compiled 6107 to 3264 computations (46.6% saved)

simplify117.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

320 → 320

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5097	8494

prune312.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	319	1	320
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	320	6	326

Error

0.0b

Counts

326 → 6

Compiler

Compiled 7720 to 1518 computations (80.3% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 b))
0.0b	(.f64 a (.f64 y (exp.f64 b)))
1.0b	(.f64 x (/.f64 (pow.f64 a t) (.f64 a (*.f64 y (exp.f64 b)))))
1.3b	(/.f64 (pow.f64 a t) (.f64 a (.f64 y (exp.f64 b))))

rewrite145.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

62×	`add-exp-log_binary64_12392`
34×	`add-cbrt-cube_binary64_12390`
32×	`prod-exp_binary64_12403`
19×	`add-sqr-sqrt_binary64_12376`
18×	`div-exp_binary64_12405`
15×	`add-cube-cbrt_binary64_12389` `-un-lft-identity_binary64_12354` `associate-r*_binary64_12294`
14×	`cbrt-unprod_binary64_12387` `times-frac_binary64_12360`
13×	`pow1_binary64_12415`
9×	`unpow-prod-down_binary64_12433` `associate-l_binary64_12295`
7×	`associate-/l*_binary64_12299`
6×	`pow-to-exp_binary64_12423` `pow-exp_binary64_12422` `cbrt-undiv_binary64_12388`
5×	`pow-prod-down_binary64_12425`
4×	`add-log-exp_binary64_12393`
3×	`sqr-pow_binary64_12326` `*-commutative_binary64_12285`
2×	`div-inv_binary64_12351` `unswap-sqr_binary64_12322`
1×	`frac-2neg_binary64_12365` `clear-num_binary64_12353` `associate-/r_binary64_12298` `associate-r/_binary64_12296`

Counts

4 → 112

Calls

4 calls:

14.0ms	(.f64 x (/.f64 (pow.f64 a t) (.f64 a (*.f64 y (exp.f64 b)))))
10.0ms	(/.f64 (pow.f64 a t) (.f64 a (.f64 y (exp.f64 b))))
8.0ms	(*.f64 y (exp.f64 b))
6.0ms	(.f64 a (.f64 y (exp.f64 b)))

Compiler

Compiled 2151 to 427 computations (80.1% saved)

series1.9s (4.5%)

Error

0.0b

Counts

4 → 60

Calls

4 calls:

939.0ms	(.f64 x (/.f64 (pow.f64 a t) (.f64 a (*.f64 y (exp.f64 b)))))
657.0ms	(/.f64 (pow.f64 a t) (.f64 a (.f64 y (exp.f64 b))))
168.0ms	(.f64 a (.f64 y (exp.f64 b)))
71.0ms	(*.f64 y (exp.f64 b))

Compiler

Compiled 2670 to 1644 computations (38.4% saved)

simplify134.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4984	2987
1	4984	2987

prune136.0ms (0.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	172	6	178

Error

0.0b

Counts

178 → 6

Compiler

Compiled 2866 to 532 computations (81.4% saved)

regimes1.6s (3.7%)

Accuracy

Total 2.0b remaining (99.6%)

Threshold costs 0b (0%)

Compiler

Compiled 13844 to 11804 computations (14.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	28
1	43	28

end0.0ms (0%)

sample8.4s (19.8%)

Algorithm

1×

intervals

Results

3.1s	44969×	body	128	nan
657.0ms	8000×	body	128	valid
584.0ms	7080×	body	128	invalid

Compiler

Compiled 1336 to 1129 computations (15.5% saved)

Details

analyze1.8s (4.2%)

sample13.8s (32.6%)

simplify58.0ms (0.1%)

prune6.0ms (0%)

localize19.0ms (0%)

rewrite184.0ms (0.4%)

series2.8s (6.6%)

simplify108.0ms (0.3%)

prune198.0ms (0.5%)

localize12.0ms (0%)

rewrite347.0ms (0.8%)

series4.9s (11.5%)

simplify107.0ms (0.3%)

prune337.0ms (0.8%)

localize12.0ms (0%)

rewrite306.0ms (0.7%)

series4.7s (11.1%)

simplify117.0ms (0.3%)

prune312.0ms (0.7%)

localize9.0ms (0%)

rewrite145.0ms (0.3%)

series1.9s (4.5%)

simplify134.0ms (0.3%)

prune136.0ms (0.3%)

regimes1.6s (3.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.4s (19.8%)

Profiling