Details

analyze767.0ms (17.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5270	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 25 to 26 computations (-4% saved)

simplify352.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (347.0ms)

Iter	Nodes	Cost
0	4889	18
1	4889	18

prune3.0ms (0.1%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (-.f64 1 z) (log.f64 z))
0.2b	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_10649`
8×	`pow1_binary64_10710` `add-sqr-sqrt_binary64_10671` `distribute-lft-out_binary64_10600`
7×	`associate-r_binary64_10589`
6×	`add-cube-cbrt_binary64_10684`
5×	`add-log-exp_binary64_10688`
4×	`log-pow_binary64_10738` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687` `associate-+l+_binary64_10582` `distribute-lft-out--_binary64_10601`
3×	`cancel-sign-sub-inv_binary64_10615` `associate-l_binary64_10590` `log-prod_binary64_10735` `associate-+r+_binary64_10581`
2×	`sum-log_binary64_10740` `flip-+_binary64_10623` `flip3-+_binary64_10652` `associate-*r/_binary64_10591`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `associate-+l-_binary64_10584` `pow-prod-down_binary64_10720` `sub-neg_binary64_10642` `unswap-sqr_binary64_10617` `+-commutative_binary64_10579` `*-commutative_binary64_10580` `distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `diff-log_binary64_10741`

Counts

2 → 50

Calls

2 calls:

11.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))

series114.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
56.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify77.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5009	678

prune63.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	7	57

Error

Counts

57 → 7

Compiler

Compiled 1062 to 673 computations (36.6% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 1 z))
0.2b	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
0.3b	(*.f64 y (log.f64 z))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_10671`
18×	`*-un-lft-identity_binary64_10649`
15×	`add-cube-cbrt_binary64_10684`
14×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
12×	`cancel-sign-sub-inv_binary64_10615` `log-prod_binary64_10735`
10×	`associate-r_binary64_10589`
8×	`pow1_binary64_10710` `associate-+l+_binary64_10582`
7×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
6×	`associate-l_binary64_10590` `associate-+r+_binary64_10581`
5×	`add-log-exp_binary64_10688`
4×	`sub-neg_binary64_10642`
2×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `difference-of-squares_binary64_10618` `unswap-sqr_binary64_10617` `-commutative_binary64_10580` `associate-r/_binary64_10591`
1×	`log-pow_binary64_10738` `sum-log_binary64_10740` `+-commutative_binary64_10579` `distribute-lft-out--_binary64_10601` `flip-+_binary64_10623` `flip3--_binary64_10653` `flip--_binary64_10624` `flip3-+_binary64_10652` `distribute-lft-out_binary64_10600`

Counts

3 → 82

Calls

3 calls:

9.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
8.0ms	(*.f64 y (-.f64 1 z))
5.0ms	(*.f64 y (log.f64 z))

series117.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

65.0ms	(+.f64 (.f64 y (-.f64 1 z)) (.f64 y (log.f64 z)))
29.0ms	(*.f64 y (log.f64 z))
23.0ms	(*.f64 y (-.f64 1 z))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5160	978

prune90.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Error

Counts

98 → 5

Compiler

Compiled 1709 to 894 computations (47.7% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (log.f64 (cbrt.f64 z)))
0.3b	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_10735`
18×	`cbrt-prod_binary64_10680` `add-sqr-sqrt_binary64_10671`
16×	`*-un-lft-identity_binary64_10649` `add-cube-cbrt_binary64_10684`
12×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598` `associate-+r+_binary64_10581`
7×	`pow1_binary64_10710`
6×	`add-log-exp_binary64_10688` `add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
5×	`associate-r_binary64_10589`
3×	`pow1/3_binary64_10731` `associate-l_binary64_10590`
2×	`log-pow_binary64_10738`
1×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `sum-log_binary64_10740` `pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `+-commutative_binary64_10579` `*-commutative_binary64_10580` `flip-+_binary64_10623` `flip3-+_binary64_10652` `distribute-lft-out_binary64_10600`

Counts

4 → 78

Calls

4 calls:

8.0ms	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
5.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series311.0ms (7%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 z)
77.0ms	(cbrt.f64 z)
74.0ms	(+.f64 (.f64 y (.f64 (log.f64 (cbrt.f64 z)) 2)) (*.f64 y (log.f64 (cbrt.f64 z))))
72.0ms	(*.f64 y (log.f64 (cbrt.f64 z)))

simplify53.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5130	988

prune108.0ms (2.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	90	5	95

Error

Counts

95 → 5

Compiler

Compiled 2423 to 1251 computations (48.4% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 1 z) (-.f64 1 z))
0.6b	(*.f64 (log.f64 z) (log.f64 z))
3.9b	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
10.6b	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))

rewrite80.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary64_10649`
46×	`add-sqr-sqrt_binary64_10671`
30×	`pow1_binary64_10710`
25×	`distribute-rgt-in_binary64_10599` `distribute-lft-in_binary64_10598`
24×	`add-cube-cbrt_binary64_10684`
20×	`cancel-sign-sub-inv_binary64_10615`
18×	`distribute-lft-out--_binary64_10601`
16×	`associate--l+_binary64_10586`
15×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
14×	`associate-r_binary64_10589` `swap-sqr_binary64_10616`
13×	`associate-l_binary64_10590`
11×	`difference-of-squares_binary64_10618`
10×	`log-pow_binary64_10738`
9×	`flip3--_binary64_10653` `flip--_binary64_10624`
8×	`associate-/r*_binary64_10593` `sub-neg_binary64_10642` `times-frac_binary64_10655`
6×	`associate-*r/_binary64_10591` `log-prod_binary64_10735`
4×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `add-log-exp_binary64_10688` `frac-times_binary64_10659`
3×	`pow-prod-down_binary64_10720` `unswap-sqr_binary64_10617` `*-commutative_binary64_10580`
2×	`pow-sqr_binary64_10622` `pow-prod-up_binary64_10719` `pow-plus_binary64_10712` `associate-*l/_binary64_10592` `associate-/r/_binary64_10595` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `pow2_binary64_10730` `associate-/l/_binary64_10596`
1×	`clear-num_binary64_10648` `associate-/l*_binary64_10594` `frac-2neg_binary64_10660` `div-inv_binary64_10646`

Counts

4 → 164

Calls

4 calls:

23.0ms	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))
16.0ms	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
13.0ms	(*.f64 (-.f64 1 z) (-.f64 1 z))
6.0ms	(*.f64 (log.f64 z) (log.f64 z))

series388.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

241.0ms	(/.f64 (.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z)))) (-.f64 (-.f64 1 z) (log.f64 z)))
73.0ms	(.f64 y (-.f64 (.f64 (-.f64 1 z) (-.f64 1 z)) (*.f64 (log.f64 z) (log.f64 z))))
66.0ms	(*.f64 (log.f64 z) (log.f64 z))
8.0ms	(*.f64 (-.f64 1 z) (-.f64 1 z))

simplify106.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4939	3182
1	4939	3182

prune252.0ms (5.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	176	5	181

Error

Counts

181 → 5

Compiler

Compiled 5268 to 3113 computations (40.9% saved)

regimes306.0ms (6.9%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

Compiler

Compiled 3242 to 2488 computations (23.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	18
1	26	18

end0.0ms (0%)

sample1.1s (23.7%)

Algorithm

1×

intervals

Results

384.0ms	8000×	body	128	valid
15.0ms	262×	body	128	invalid
2.0ms	59×	body	128	nan

Compiler

Compiled 491 to 380 computations (22.6% saved)

Details

analyze767.0ms (17.2%)

sample21.0ms (0.5%)

simplify352.0ms (7.9%)

prune3.0ms (0.1%)

localize12.0ms (0.3%)

rewrite23.0ms (0.5%)

series114.0ms (2.5%)

simplify77.0ms (1.7%)

prune63.0ms (1.4%)

localize10.0ms (0.2%)

rewrite28.0ms (0.6%)

series117.0ms (2.6%)

simplify70.0ms (1.6%)

prune90.0ms (2%)

localize16.0ms (0.4%)

rewrite23.0ms (0.5%)

series311.0ms (7%)

simplify53.0ms (1.2%)

prune108.0ms (2.4%)

localize14.0ms (0.3%)

rewrite80.0ms (1.8%)

series388.0ms (8.7%)

simplify106.0ms (2.4%)

prune252.0ms (5.6%)

regimes306.0ms (6.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (23.7%)

Profiling