Details

analyze725.0ms (7%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4949	72
1	4949	72
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14
37.5%	12.4%	50.1%	14

Compiler

Compiled 26 to 22 computations (15.4% saved)

sample1.1s (10.6%)

Algorithm

2×

intervals

Results

23.0ms	512×	body	128	valid
21.0ms	529×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 6668 to 7178 computations (-7.6% saved)

simplify164.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (159.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite131.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`add-log-exp_binary64_11029` `*-un-lft-identity_binary64_10990`
15×	`add-sqr-sqrt_binary64_11012`
12×	`log-prod_binary64_11076`
11×	`add-cube-cbrt_binary64_11025`
7×	`pow1_binary64_11051`
6×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `diff-log_binary64_11082` `associate--r+_binary64_10926`
5×	`cancel-sign-sub-inv_binary64_10956`
4×	`associate-l_binary64_10931` `associate-r_binary64_10930` `sum-log_binary64_11081`
3×	`distribute-lft-out_binary64_10941` `sub-neg_binary64_10983`
2×	`flip3-+_binary64_10993` `associate-*l/_binary64_10933` `flip-+_binary64_10964` `associate-+l-_binary64_10925` `associate-+l+_binary64_10923` `flip3--_binary64_10994` `flip--_binary64_10965` `distribute-lft-out--_binary64_10942`
1×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `log-pow_binary64_11079` `*-commutative_binary64_10921` `+-commutative_binary64_10920` `difference-of-squares_binary64_10959` `associate--l-_binary64_10928` `associate--l+_binary64_10927`

Counts

4 → 83

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
7.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

Compiler

Compiled 1701 to 938 computations (44.9% saved)

series1.5s (14%)

Error

0.1b

Counts

4 → 44

Calls

4 calls:

590.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
375.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
347.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
113.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 1495 to 1049 computations (29.8% saved)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4804	1914
1	4804	1914

prune135.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	120	7	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	121	7	128

Error

Counts

128 → 7

Compiler

Compiled 2077 to 1094 computations (47.3% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite148.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_10990`
12×	`cbrt-prod_binary64_11021` `log-prod_binary64_11076` `associate-+r+_binary64_10922`
11×	`add-cube-cbrt_binary64_11025` `add-sqr-sqrt_binary64_11012`
10×	`associate-*l/_binary64_10933`
9×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
6×	`add-log-exp_binary64_11029` `flip3-+_binary64_10993` `flip-+_binary64_10964` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
4×	`frac-add_binary64_10998` `associate-l_binary64_10931`
3×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
2×	`pow1/3_binary64_11072` `distribute-lft-out_binary64_10941`
1×	`sum-log_binary64_11081` `+-commutative_binary64_10920` `associate-r_binary64_10930` `*-commutative_binary64_10921`

Counts

4 → 71

Calls

4 calls:

11.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
8.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 2368 to 1316 computations (44.4% saved)

series825.0ms (7.9%)

Error

Counts

4 → 16

Calls

4 calls:

338.0ms	(+.f64 (.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
226.0ms	(.f64 (+.f64 1/2 y) (.f64 (log.f64 (cbrt.f64 y)) 2))
124.0ms	(cbrt.f64 y)
109.0ms	(cbrt.f64 y)

Compiler

Compiled 1074 to 849 computations (20.9% saved)

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5664	1205

prune129.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	88	6	94

Error

Counts

94 → 6

Compiler

Compiled 2307 to 1323 computations (42.7% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 3/2 (*.f64 y 3))
0.1b	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
0.4b	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
0.4b	(*.f64 -1/3 (neg.f64 (log.f64 y)))

rewrite146.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`associate-r_binary64_10930`
13×	`pow1_binary64_11051` `add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
11×	`add-exp-log_binary64_11028` `add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026` `add-cube-cbrt_binary64_11025`
6×	`log-prod_binary64_11076` `distribute-neg-in_binary64_10951`
4×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939` `associate-l_binary64_10931` `distribute-rgt-neg-in_binary64_10948` `distribute-lft-neg-in_binary64_10947`
3×	`distribute-rgt-neg-out_binary64_10950` `flip3-+_binary64_10993` `flip-+_binary64_10964` `sum-log_binary64_11081` `associate-+l+_binary64_10923`
2×	`log-pow_binary64_11079` `-commutative_binary64_10921` `associate-r/_binary64_10932` `+-commutative_binary64_10920`
1×	`unswap-sqr_binary64_10958` `neg-mul-1_binary64_10986` `distribute-lft-neg-out_binary64_10949` `diff-log_binary64_11082` `distribute-lft-out_binary64_10941` `associate-+l-_binary64_10925` `sub-neg_binary64_10983` `cancel-sign-sub-inv_binary64_10956` `cancel-sign-sub_binary64_10955`

Counts

4 → 85

Calls

4 calls:

8.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
7.0ms	(*.f64 -1/3 (neg.f64 (log.f64 y)))
6.0ms	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
3.0ms	(+.f64 3/2 (*.f64 y 3))

Compiler

Compiled 2111 to 1329 computations (37% saved)

series672.0ms (6.5%)

Error

Counts

4 → 25

Calls

4 calls:

379.0ms	(+.f64 (-.f64 x (.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))) y)
125.0ms	(.f64 (.f64 -1/3 (neg.f64 (log.f64 y))) (+.f64 3/2 (*.f64 y 3)))
102.0ms	(*.f64 -1/3 (neg.f64 (log.f64 y)))
45.0ms	(+.f64 3/2 (*.f64 y 3))

Compiler

Compiled 986 to 743 computations (24.6% saved)

simplify44.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5119	1255

prune125.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	110	6	116

Error

Counts

116 → 6

Compiler

Compiled 2058 to 1223 computations (40.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
0.1b	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
0.4b	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
0.4b	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))

rewrite195.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`*-un-lft-identity_binary64_10990`
18×	`add-log-exp_binary64_11029`
16×	`add-sqr-sqrt_binary64_11012`
14×	`sqrt-div_binary64_11007`
12×	`pow1_binary64_11051`
11×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `associate-l_binary64_10931`
10×	`add-cube-cbrt_binary64_11025` `associate-*r/_binary64_10932`
9×	`sqrt-prod_binary64_11006`
8×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-r_binary64_10930`
5×	`diff-log_binary64_11082`
4×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `distribute-lft-out_binary64_10941` `frac-times_binary64_11000` `sum-log_binary64_11081` `cancel-sign-sub-inv_binary64_10956`
2×	`unswap-sqr_binary64_10958` `-commutative_binary64_10921` `associate-l/_binary64_10933` `associate-+l-_binary64_10925` `sub-neg_binary64_10983` `associate-+l+_binary64_10923` `distribute-lft-out--_binary64_10942`
1×	`log-pow_binary64_11079` `+-commutative_binary64_10920` `flip3--_binary64_10994` `flip--_binary64_10965` `difference-of-squares_binary64_10959` `associate--l-_binary64_10928` `associate--l+_binary64_10927`

Counts

4 → 93

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
8.0ms	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
8.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))
6.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)

Compiler

Compiled 2675 to 1735 computations (35.1% saved)

series1.2s (11.2%)

Error

Counts

4 → 37

Calls

4 calls:

583.0ms	(-.f64 (+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
361.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y)
129.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))
68.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y)))

Compiler

Compiled 1416 to 1021 computations (27.9% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5238	2038

prune135.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	130	6	136

Error

Counts

136 → 6

Compiler

Compiled 2375 to 1368 computations (42.4% saved)

regimes587.0ms (5.6%)

Accuracy

Total 0.1b remaining (96.4%)

Threshold costs 0.1b (96.4%)

Compiler

Compiled 5137 to 4227 computations (17.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms (0%)

sample2.3s (21.6%)

Algorithm

1×

intervals

Results

388.0ms	7998×	body	128	valid
287.0ms	7958×	body	128	nan
6.0ms	43×	body	128	invalid
0.0ms	2×	body	512	valid

Compiler

Compiled 1024 to 845 computations (17.5% saved)

Details

analyze725.0ms (7%)

sample1.1s (10.6%)

simplify164.0ms (1.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite131.0ms (1.3%)

series1.5s (14%)

simplify108.0ms (1%)

prune135.0ms (1.3%)

localize18.0ms (0.2%)

rewrite148.0ms (1.4%)

series825.0ms (7.9%)

simplify42.0ms (0.4%)

prune129.0ms (1.2%)

localize13.0ms (0.1%)

rewrite146.0ms (1.4%)

series672.0ms (6.5%)

simplify44.0ms (0.4%)

prune125.0ms (1.2%)

localize14.0ms (0.1%)

rewrite195.0ms (1.9%)

series1.2s (11.2%)

simplify66.0ms (0.6%)

prune135.0ms (1.3%)

regimes587.0ms (5.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (21.6%)

Profiling