Details

analyze335.0ms (6%)

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)

sample48.0ms (0.9%)

Algorithm

1×

intervals

Results

15.0ms	196×	body	128	valid
12.0ms	21×	body	1024	valid
6.0ms	22×	body	512	valid
3.0ms	17×	body	256	valid
1.0ms	9×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 35 to 37 computations (-5.7% saved)

simplify496.0ms (8.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (323.0ms)

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: 7.6b

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 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
0.0b	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
5.2b	(log.f64 (-.f64 1 y))

rewrite55.0ms (1%)

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:

15.0ms	(+.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))
4.0ms	(log.f64 (-.f64 1 y))

series449.0ms (8%)

Counts

4 → 12

Calls

4 calls:

199.0ms	(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
146.0ms	(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))
79.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
25.0ms	(log.f64 (-.f64 1 y))

simplify84.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4901	2419
1	4901	2419

prune167.0ms (3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	6	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.1b

Counts

109 → 6

Compiler

Compiled 2874 to 1933 computations (32.7% saved)

localize17.0ms (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 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
0.1b	(*.f64 (-.f64 x 1) (log.f64 y))
0.4b	(*.f64 y 1/3)

rewrite58.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 116

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)))))
12.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
9.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
4.0ms	(*.f64 y 1/3)

series352.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(+.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)))))
77.0ms	(.f64 (-.f64 z 1) (-.f64 (neg.f64 y) (.f64 (.f64 y y) (+.f64 (.f64 y 1/3) 1/2))))
69.0ms	(*.f64 (-.f64 x 1) (log.f64 y))
25.0ms	(*.f64 y 1/3)

simplify78.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5033	4341

prune248.0ms (4.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	124	4	128
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	126	8	134

Merged error: 0.1b

Counts

134 → 8

Compiler

Compiled 5149 to 3210 computations (37.7% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_442`
23×	`add-sqr-sqrt_binary64_435`
15×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
11×	`pow1_binary64_472`
9×	`pow1/3_binary64_493`
6×	`add-exp-log_binary64_449` `associate-l_binary64_357` `swap-sqr_binary64_381` `associate-r_binary64_356`
4×	`add-cbrt-cube_binary64_447` `add-log-exp_binary64_450` `unswap-sqr_binary64_382`
2×	`pow-prod-up_binary64_481` `pow-prod-down_binary64_482` `pow-sqr_binary64_387`
1×	`pow-plus_binary64_474` `*-commutative_binary64_347` `prod-exp_binary64_460` `cbrt-unprod_binary64_444` `pow2_binary64_492`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series618.0ms (11%)

Counts

4 → 12

Calls

4 calls:

169.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
160.0ms	(cbrt.f64 y)
150.0ms	(cbrt.f64 y)
139.0ms	(cbrt.f64 y)

simplify71.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4957	563
1	4957	563

prune151.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.1b

Counts

93 → 8

Compiler

Compiled 3472 to 2080 computations (40.1% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 z 1))
0.3b	(cbrt.f64 (-.f64 z 1))
0.3b	(*.f64 (cbrt.f64 (-.f64 z 1)) (cbrt.f64 (-.f64 z 1)))
0.4b	(*.f64 y 1/3)

rewrite45.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-prod_binary64_442` `add-sqr-sqrt_binary64_435`
42×	`*-un-lft-identity_binary64_414`
16×	`add-cube-cbrt_binary64_446` `cbrt-div_binary64_443`
14×	`difference-of-squares_binary64_383` `swap-sqr_binary64_381`
13×	`pow1_binary64_472` `associate-l_binary64_357` `associate-r_binary64_356`
8×	`flip3--_binary64_418` `distribute-lft-out--_binary64_368` `add-exp-log_binary64_449` `difference-of-sqr-1_binary64_384` `flip--_binary64_389` `pow1/3_binary64_493`
6×	`add-cbrt-cube_binary64_447`
5×	`unswap-sqr_binary64_382`
4×	`add-log-exp_binary64_450` `frac-times_binary64_424`
3×	`pow-prod-down_binary64_482`
2×	`associate-l/_binary64_359` `-commutative_binary64_347` `prod-exp_binary64_460` `pow-prod-up_binary64_481` `pow-sqr_binary64_387` `cbrt-unprod_binary64_444` `associate-*r/_binary64_358`
1×	`pow-plus_binary64_474` `pow2_binary64_492`

Counts

4 → 116

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 z 1)) (cbrt.f64 (-.f64 z 1)))
4.0ms	(*.f64 y 1/3)
4.0ms	(cbrt.f64 (-.f64 z 1))
4.0ms	(cbrt.f64 (-.f64 z 1))

series185.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

59.0ms	(cbrt.f64 (-.f64 z 1))
58.0ms	(*.f64 (cbrt.f64 (-.f64 z 1)) (cbrt.f64 (-.f64 z 1)))
49.0ms	(cbrt.f64 (-.f64 z 1))
20.0ms	(*.f64 y 1/3)

simplify89.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4914	1874
1	4914	1874

prune268.0ms (4.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	128	0	128
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	128	8	136

Merged error: 0.1b

Counts

136 → 8

Compiler

Compiled 5208 to 3647 computations (30% saved)

regimes130.0ms (2.3%)

Compiler: Compiled 1364 to 1172 computations (14.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	56
1	89	56

end0.0ms (0%)

sample1.6s (28.3%)

Algorithm

1×

intervals

Results

487.0ms	6140×	body	128	valid
265.0ms	487×	body	1024	valid
217.0ms	747×	body	512	valid
103.0ms	625×	body	256	valid
20.0ms	254×	body	128	nan
2.0ms	30×	body	128	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 278 to 234 computations (15.8% saved)

Details

analyze335.0ms (6%)

sample48.0ms (0.9%)

simplify496.0ms (8.8%)

prune3.0ms (0%)

localize13.0ms (0.2%)

rewrite55.0ms (1%)

series449.0ms (8%)

simplify84.0ms (1.5%)

prune167.0ms (3%)

localize17.0ms (0.3%)

rewrite58.0ms (1%)

series352.0ms (6.3%)

simplify78.0ms (1.4%)

prune248.0ms (4.4%)

localize25.0ms (0.4%)

rewrite19.0ms (0.3%)

series618.0ms (11%)

simplify71.0ms (1.3%)

prune151.0ms (2.7%)

localize21.0ms (0.4%)

rewrite45.0ms (0.8%)

series185.0ms (3.3%)

simplify89.0ms (1.6%)

prune268.0ms (4.8%)

regimes130.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (28.3%)

Profiling