Details

analyze351.0ms (5.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

Compiler

Compiled 18 to 17 computations (5.6% saved)

sample45.0ms (0.7%)

Algorithm

1×

intervals

Results

15.0ms	200×	body	128	valid
8.0ms	13×	body	1024	valid
5.0ms	19×	body	512	valid
4.0ms	24×	body	256	valid
1.0ms	13×	body	128	nan

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify498.0ms (7.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (329.0ms)

Iter	Nodes	Cost
0	6585	26

prune3.0ms (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: 6.6b

Counts

2 → 1

Compiler

Compiled 34 to 32 computations (5.9% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.0b	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
8.2b	(log.f64 (-.f64 1 y))

rewrite55.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`log-prod_binary64_497` `add-sqr-sqrt_binary64_435`
27×	`*-un-lft-identity_binary64_414`
13×	`add-cube-cbrt_binary64_446`
12×	`distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366` `associate-+r+_binary64_348`
11×	`add-log-exp_binary64_450`
10×	`associate-*l/_binary64_359`
9×	`difference-of-squares_binary64_383`
8×	`pow1_binary64_472`
7×	`flip3--_binary64_418` `add-exp-log_binary64_449` `associate-l_binary64_357` `flip--_binary64_389`
6×	`add-cbrt-cube_binary64_447` `associate-+l+_binary64_349`
5×	`distribute-lft-out--_binary64_368`
4×	`frac-add_binary64_422` `associate-r_binary64_356`
2×	`log-pow_binary64_500` `diff-log_binary64_503` `log-div_binary64_498` `sum-log_binary64_502`
1×	`associate--l+_binary64_353` `flip3-+_binary64_417` `rem-log-exp_binary64_452` `*-commutative_binary64_347` `+-commutative_binary64_346` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `sub-neg_binary64_407` `flip-+_binary64_388` `difference-of-sqr-1_binary64_384` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444`

Counts

4 → 96

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
14.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
5.0ms	(log.f64 (-.f64 1 y))

series442.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
144.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
78.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
28.0ms	(log.f64 (-.f64 1 y))

simplify85.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4901	2419
1	4901	2419

prune174.0ms (2.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Merged error: 0.1b

Counts

109 → 7

Compiler

Compiled 2953 to 1992 computations (32.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.3b	(*.f64 y 1/3)

rewrite54.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`associate-*l/_binary64_359` `add-sqr-sqrt_binary64_435`
21×	`flip3--_binary64_418` `flip--_binary64_389`
16×	`*-un-lft-identity_binary64_414` `frac-add_binary64_422`
14×	`pow1_binary64_472`
13×	`add-cube-cbrt_binary64_446` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
12×	`log-prod_binary64_497`
11×	`associate-l_binary64_357`
10×	`associate-r_binary64_356`
8×	`distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366` `frac-times_binary64_424`
6×	`add-log-exp_binary64_450` `associate-*r/_binary64_358` `associate-+l+_binary64_349`
5×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `cbrt-unprod_binary64_444`
3×	`*-commutative_binary64_347` `unswap-sqr_binary64_382`
2×	`flip3-+_binary64_417` `difference-of-squares_binary64_383` `associate-+r+_binary64_348` `sub-neg_binary64_407` `flip-+_binary64_388`
1×	`distribute-lft-out--_binary64_368` `log-pow_binary64_500` `+-commutative_binary64_346` `difference-of-sqr-1_binary64_384` `sum-log_binary64_502`

Counts

4 → 107

Calls

4 calls:

13.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 y 1/3)

series372.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

187.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2)))))
87.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y 1/3) 1/2))
73.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
24.0ms	(*.f64 y 1/3)

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5653	3708

prune225.0ms (3.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	117	9	126

Merged error: 0.1b

Counts

126 → 9

Compiler

Compiled 4810 to 2953 computations (38.6% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
10.2b	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
14.1b	(log.f64 (+.f64 1 (sqrt.f64 y)))
14.2b	(log.f64 (-.f64 1 (sqrt.f64 y)))

rewrite47.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`*-un-lft-identity_binary64_414`
34×	`log-prod_binary64_497` `add-sqr-sqrt_binary64_435`
13×	`pow1_binary64_472`
12×	`add-cube-cbrt_binary64_446`
10×	`difference-of-squares_binary64_383`
9×	`associate-+r+_binary64_348`
8×	`sqrt-prod_binary64_429` `log-div_binary64_498` `add-exp-log_binary64_449` `distribute-lft-out_binary64_367`
7×	`log-pow_binary64_500` `associate-l_binary64_357`
6×	`add-cbrt-cube_binary64_447`
5×	`distribute-lft-out--_binary64_368` `associate-+l+_binary64_349`
4×	`add-log-exp_binary64_450` `associate-r_binary64_356`
3×	`distribute-lft-in_binary64_365` `flip3--_binary64_418` `flip3-+_binary64_417` `distribute-rgt-in_binary64_366` `flip-+_binary64_388` `flip--_binary64_389`
2×	`associate-*l/_binary64_359` `rem-log-exp_binary64_452` `associate-+r-_binary64_350` `associate-+l-_binary64_351`
1×	`*-commutative_binary64_347` `+-commutative_binary64_346` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `difference-of-sqr-1_binary64_384` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444` `sum-log_binary64_502`

Counts

4 → 100

Calls

4 calls:

14.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
8.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
5.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))

series319.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(+.f64 (log.f64 (+.f64 1 (sqrt.f64 y))) (log.f64 (-.f64 1 (sqrt.f64 y))))
72.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
58.0ms	(log.f64 (-.f64 1 (sqrt.f64 y)))
49.0ms	(log.f64 (+.f64 1 (sqrt.f64 y)))

simplify90.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4980	2319
1	4980	2319

prune202.0ms (2.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	112	9	121

Merged error: 0.1b

Counts

121 → 9

Compiler

Compiled 4026 to 2656 computations (34% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 (-.f64 1 (*.f64 y y))) (log.f64 (+.f64 1 y)))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
3.3b	(log.f64 (-.f64 1 (*.f64 y y)))
8.2b	(log.f64 (+.f64 1 y))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_414`
24×	`log-prod_binary64_497`
22×	`add-sqr-sqrt_binary64_435`
13×	`pow1_binary64_472`
12×	`add-cube-cbrt_binary64_446`
8×	`log-div_binary64_498` `add-exp-log_binary64_449`
7×	`log-pow_binary64_500` `difference-of-squares_binary64_383` `associate-l_binary64_357`
6×	`add-cbrt-cube_binary64_447`
5×	`associate--l+_binary64_353` `distribute-lft-out--_binary64_368`
4×	`flip3--_binary64_418` `add-log-exp_binary64_450` `associate--r+_binary64_352` `associate-r_binary64_356` `flip--_binary64_389`
3×	`distribute-lft-in_binary64_365` `distribute-rgt-in_binary64_366`
2×	`associate-*l/_binary64_359` `flip3-+_binary64_417` `rem-log-exp_binary64_452` `associate--l-_binary64_354` `flip-+_binary64_388` `distribute-lft-out_binary64_367` `associate--r-_binary64_355`
1×	`diff-log_binary64_503` `*-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-down_binary64_482` `sub-neg_binary64_407` `difference-of-sqr-1_binary64_384` `unswap-sqr_binary64_382` `cbrt-unprod_binary64_444`

Counts

4 → 91

Calls

4 calls:

11.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 y y))) (log.f64 (+.f64 1 y)))
8.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(log.f64 (+.f64 1 y))
3.0ms	(log.f64 (-.f64 1 (*.f64 y y)))

series199.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

65.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
64.0ms	(log.f64 (-.f64 1 (*.f64 y y)))
48.0ms	(-.f64 (log.f64 (-.f64 1 (*.f64 y y))) (log.f64 (+.f64 1 y)))
21.0ms	(log.f64 (+.f64 1 y))

simplify76.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5105	1639

prune145.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	103	9	112

Merged error: 0.0b

Counts

112 → 9

Compiler

Compiled 3110 to 2029 computations (34.8% saved)

regimes910.0ms (13.3%)

Compiler: Compiled 10004 to 8126 computations (18.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	219	36
1	219	36

end0.0ms (0%)

sample2.4s (34.9%)

Algorithm

1×

intervals

Results

470.0ms	6109×	body	128	valid
251.0ms	477×	body	1024	valid
238.0ms	824×	body	512	valid
96.0ms	586×	body	256	valid
20.0ms	252×	body	128	nan
3.0ms	4×	body	2048	valid
3.0ms	34×	body	128	invalid

Compiler

Compiled 1282 to 1042 computations (18.7% saved)

Details

analyze351.0ms (5.1%)

sample45.0ms (0.7%)

simplify498.0ms (7.2%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite55.0ms (0.8%)

series442.0ms (6.4%)

simplify85.0ms (1.2%)

prune174.0ms (2.5%)

localize18.0ms (0.3%)

rewrite54.0ms (0.8%)

series372.0ms (5.4%)

simplify74.0ms (1.1%)

prune225.0ms (3.3%)

localize19.0ms (0.3%)

rewrite47.0ms (0.7%)

series319.0ms (4.6%)

simplify90.0ms (1.3%)

prune202.0ms (2.9%)

localize18.0ms (0.3%)

rewrite35.0ms (0.5%)

series199.0ms (2.9%)

simplify76.0ms (1.1%)

prune145.0ms (2.1%)

regimes910.0ms (13.3%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.4s (34.9%)

Profiling