Details

analyze242.0ms (5.2%)

Algorithm

1×

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify260.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (164.0ms)

Iter	Nodes	Cost
0	4948	18
1	4948	18

prune2.0ms (0.1%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_7580`
12×	`log-prod_binary64_7666`
11×	`add-sqr-sqrt_binary64_7602`
10×	`add-log-exp_binary64_7619`
9×	`add-cube-cbrt_binary64_7615`
6×	`distribute-lft-in_binary64_7529` `pow1_binary64_7641` `associate--r+_binary64_7516` `distribute-rgt-in_binary64_7530`
5×	`add-cbrt-cube_binary64_7616` `add-exp-log_binary64_7618`
4×	`associate-r_binary64_7520` `associate-l_binary64_7521`
2×	`diff-log_binary64_7672` `flip-+_binary64_7554` `distribute-lft-out_binary64_7531` `sub-neg_binary64_7573` `sum-log_binary64_7671` `associate-+l+_binary64_7513` `associate-*l/_binary64_7523` `cancel-sign-sub-inv_binary64_7546` `flip3-+_binary64_7583`
1×	`pow-prod-down_binary64_7651` `unswap-sqr_binary64_7548` `log-pow_binary64_7669` `+-commutative_binary64_7510` `flip--_binary64_7555` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629` `associate-+l-_binary64_7515` `*-commutative_binary64_7511` `flip3--_binary64_7584`

Counts

3 → 62

Calls

3 calls:

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)))

series537.0ms (11.5%)

Counts

3 → 26

Calls

3 calls:

258.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
233.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
46.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 590 to 471 computations (20.2% saved)

simplify59.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5092	1300

prune95.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	83	5	88
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

Compiler

Compiled 1549 to 876 computations (43.4% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`distribute-lft-in_binary64_7529` `distribute-rgt-in_binary64_7530`
24×	`log-prod_binary64_7666`
21×	`*-un-lft-identity_binary64_7580`
19×	`add-sqr-sqrt_binary64_7602`
18×	`cbrt-prod_binary64_7611`
17×	`add-cube-cbrt_binary64_7615`
12×	`pow1_binary64_7641`
11×	`add-cbrt-cube_binary64_7616` `add-exp-log_binary64_7618`
9×	`associate-l_binary64_7521`
5×	`associate-r_binary64_7520`
4×	`add-log-exp_binary64_7619` `pow-prod-down_binary64_7651` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629`
3×	`pow1/3_binary64_7662`
2×	`log-pow_binary64_7669` `flip-+_binary64_7554` `distribute-lft-out_binary64_7531` `associate-r/_binary64_7522` `-commutative_binary64_7511` `associate-*l/_binary64_7523` `flip3-+_binary64_7583`
1×	`unswap-sqr_binary64_7548`

Counts

4 → 92

Calls

4 calls:

10.0ms	(.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (cbrt.f64 y))))
7.0ms	(*.f64 (log.f64 (cbrt.f64 y)) (+.f64 y 1/2))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series397.0ms (8.5%)

Counts

4 → 14

Calls

4 calls:

102.0ms	(cbrt.f64 y)
99.0ms	(.f64 (+.f64 y 1/2) (.f64 2 (log.f64 (cbrt.f64 y))))
98.0ms	(*.f64 (log.f64 (cbrt.f64 y)) (+.f64 y 1/2))
98.0ms	(cbrt.f64 y)

Compiler

Compiled 700 to 590 computations (15.7% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5163	1541

prune144.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	105	7	112

Merged error: 0b

Counts

112 → 7

Compiler

Compiled 3100 to 1795 computations (42.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_7580`
14×	`sqrt-div_binary64_7597`
13×	`add-sqr-sqrt_binary64_7602`
12×	`pow1_binary64_7641`
11×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `associate-l_binary64_7521` `add-exp-log_binary64_7618`
10×	`associate-*r/_binary64_7522`
9×	`add-cube-cbrt_binary64_7615` `sqrt-prod_binary64_7596`
8×	`associate-r_binary64_7520` `flip-+_binary64_7554` `flip3-+_binary64_7583`
4×	`pow-prod-down_binary64_7651` `frac-times_binary64_7590` `cbrt-unprod_binary64_7613` `prod-exp_binary64_7629`
3×	`distribute-lft-out_binary64_7531`
2×	`unswap-sqr_binary64_7548` `diff-log_binary64_7672` `sub-neg_binary64_7573` `sum-log_binary64_7671` `associate-+l+_binary64_7513` `-commutative_binary64_7511` `associate-l/_binary64_7523` `cancel-sign-sub-inv_binary64_7546`
1×	`log-pow_binary64_7669` `+-commutative_binary64_7510` `flip--_binary64_7555` `associate-+l-_binary64_7515` `flip3--_binary64_7584`

Counts

4 → 84

Calls

4 calls:

12.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2))))
8.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2)))
6.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2))))) y)
3.0ms	(-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2)))))

series581.0ms (12.5%)

Counts

4 → 30

Calls

4 calls:

248.0ms	(-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2)))))
246.0ms	(+.f64 (-.f64 x (.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2))))) y)
44.0ms	(.f64 (sqrt.f64 (+.f64 y 1/2)) (.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2))))
42.0ms	(*.f64 (log.f64 y) (sqrt.f64 (+.f64 y 1/2)))

Compiler

Compiled 798 to 634 computations (20.6% saved)

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5461	1722

prune116.0ms (2.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	114	7	121

Merged error: 0b

Counts

121 → 7

Compiler

Compiled 2274 to 1377 computations (39.4% saved)

localize24.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))
0.5b	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))
0.5b	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))
0.6b	(cbrt.f64 y)

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-div_binary64_7612` `cbrt-prod_binary64_7611` `associate-*l/_binary64_7523`
5×	`add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580` `add-cube-cbrt_binary64_7615`
4×	`add-log-exp_binary64_7619` `add-cbrt-cube_binary64_7616` `pow1_binary64_7641` `pow1/3_binary64_7662` `add-exp-log_binary64_7618`
3×	`flip-+_binary64_7554` `flip3-+_binary64_7583`

Counts

4 → 44

Calls

4 calls:

6.0ms	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))
6.0ms	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))
6.0ms	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))
1.0ms	(cbrt.f64 y)

series306.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))
65.0ms	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))
63.0ms	(cbrt.f64 (.f64 (+.f64 y 1/2) (.f64 2/3 (log.f64 y))))

Compiler

Compiled 1415 to 1097 computations (22.5% saved)

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4834	795
1	4834	795

prune117.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	56	7	63

Merged error: 0b

Counts

63 → 7

Compiler

Compiled 2642 to 1709 computations (35.3% saved)

regimes270.0ms (5.8%)

Compiler: Compiled 2880 to 2206 computations (23.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms (0%)

sample1.1s (24.1%)

Algorithm

1×

intervals

Results

389.0ms	7998×	body	128	valid
2.0ms	42×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 603 to 464 computations (23.1% saved)

Details

analyze242.0ms (5.2%)

sample20.0ms (0.4%)

simplify260.0ms (5.6%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite22.0ms (0.5%)

series537.0ms (11.5%)

simplify59.0ms (1.3%)

prune95.0ms (2%)

localize15.0ms (0.3%)

rewrite30.0ms (0.6%)

series397.0ms (8.5%)

simplify63.0ms (1.3%)

prune144.0ms (3.1%)

localize11.0ms (0.2%)

rewrite37.0ms (0.8%)

series581.0ms (12.5%)

simplify76.0ms (1.6%)

prune116.0ms (2.5%)

localize24.0ms (0.5%)

rewrite26.0ms (0.6%)

series306.0ms (6.6%)

simplify72.0ms (1.5%)

prune117.0ms (2.5%)

regimes270.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (24.1%)

Profiling