Details

analyze700.0ms (10.3%)

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
28.1%	68.6%	3.3%	10
29.6%	65.5%	4.9%	11
32%	61.7%	6.3%	12
35.5%	56.9%	7.6%	13
48%	38.7%	13.4%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample25.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
3.0ms	75×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify236.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	1028	13
1	1028	13

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: 0.0b

Counts

2 → 2

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64_4121`
6×	`associate-r_binary64_4063`
5×	`add-sqr-sqrt_binary64_4142`
3×	`associate-l_binary64_4064` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `distribute-lft-out--_binary64_4075` `pow1_binary64_4179` `distribute-lft-out_binary64_4074`
2×	`associate-*r/_binary64_4065`
1×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `distribute-lft-in_binary64_4072` `flip-+_binary64_4095` `*-commutative_binary64_4054` `unswap-sqr_binary64_4089` `pow-prod-down_binary64_4189` `flip3-+_binary64_4124` `distribute-rgt-in_binary64_4073`

Counts

1 → 25

Calls

1 calls:

12.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

series85.0ms (1.3%)

Counts

1 → 3

Calls

1 calls:

85.0ms

(*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4919	394
1	4919	394

prune22.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	5	30

Merged error: 0b

Counts

30 → 5

Compiler

Compiled 484 to 114 computations (76.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
0.0b	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
0.0b	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_4157`
6×	`diff-log_binary64_4210`
4×	`sum-log_binary64_4209` `add-sqr-sqrt_binary64_4142`
3×	`sub-neg_binary64_4114` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121` `pow1_binary64_4179`
2×	`flip--_binary64_4096` `flip3--_binary64_4125` `associate-+l-_binary64_4058`
1×	`+-commutative_binary64_4053` `difference-of-squares_binary64_4090` `flip-+_binary64_4095` `associate--l-_binary64_4061` `distribute-lft-out--_binary64_4075` `flip3-+_binary64_4124` `associate-+l+_binary64_4056` `associate--l+_binary64_4060`

Counts

3 → 42

Calls

3 calls:

10.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
7.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
4.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

series233.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

98.0ms	(-.f64 (+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (.f64 d4 d1)) (.f64 d1 d1))
68.0ms	(+.f64 (-.f64 (.f64 d1 d2) (.f64 d1 d3)) (*.f64 d4 d1))
67.0ms	(-.f64 (.f64 d1 d2) (.f64 d1 d3))

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4940	758
1	4940	758

prune40.0ms (0.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	51	5	56

Merged error: 0b

Counts

56 → 5

Compiler

Compiled 923 to 213 computations (76.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
1.5b	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
1.5b	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
1.5b	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_4065`
18×	`cbrt-div_binary64_4150`
11×	`pow1_binary64_4179`
10×	`add-sqr-sqrt_binary64_4142`
9×	`pow1/3_binary64_4200` `flip-+_binary64_4095` `flip3-+_binary64_4124`
8×	`add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121`
7×	`cbrt-prod_binary64_4149`
6×	`add-exp-log_binary64_4156`
4×	`associate-l_binary64_4064` `associate-r_binary64_4063` `add-log-exp_binary64_4157` `add-cbrt-cube_binary64_4154` `frac-times_binary64_4131` `swap-sqr_binary64_4088`
2×	`pow-prod-up_binary64_4188` `pow-sqr_binary64_4094` `pow-prod-down_binary64_4189` `associate-*l/_binary64_4066`
1×	`cbrt-unprod_binary64_4151` `pow-plus_binary64_4181` `prod-exp_binary64_4167` `*-commutative_binary64_4054` `unswap-sqr_binary64_4089` `pow2_binary64_4199`

Counts

4 → 72

Calls

4 calls:

12.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
10.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
10.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))

series3.4s (50.6%)

Counts

4 → 12

Calls

4 calls:

1.3s	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))) (cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)))))
725.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
725.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))
723.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1))))

simplify74.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4767	1832
1	4767	1832

prune83.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Merged error: 0b

Counts

89 → 5

Compiler

Compiled 3060 to 372 computations (87.8% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1))
0.2b	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1)))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64_4121`
12×	`associate-l_binary64_4064`
11×	`add-sqr-sqrt_binary64_4142`
9×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `pow1_binary64_4179`
7×	`sqrt-prod_binary64_4136` `associate-r_binary64_4063` `add-cube-cbrt_binary64_4153`
4×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `pow-prod-down_binary64_4189` `associate-*l/_binary64_4066`
3×	`distribute-lft-out--_binary64_4075` `distribute-lft-out_binary64_4074`
2×	`add-log-exp_binary64_4157` `flip-+_binary64_4095` `-commutative_binary64_4054` `unswap-sqr_binary64_4089` `flip3-+_binary64_4124` `associate-r/_binary64_4065`

Counts

2 → 50

Calls

2 calls:

15.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1)))
13.0ms	(*.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1))

series373.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

237.0ms	(*.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1))
136.0ms	(.f64 (sqrt.f64 d1) (.f64 (+.f64 d4 (-.f64 (-.f64 d2 d3) d1)) (sqrt.f64 d1)))

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5042	943

prune37.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	56	5	61

Merged error: 0b

Counts

61 → 5

Compiler

Compiled 964 to 163 computations (83.1% saved)

regimes131.0ms (1.9%)

Compiler: Compiled 1188 to 804 computations (32.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	13
1	29	13

end0.0ms (0%)

sample953.0ms (14.1%)

Algorithm

1×

intervals

Results

344.0ms	8000×	body	128	valid
99.0ms	2281×	body	128	invalid

Compiler

Compiled 264 to 182 computations (31.1% saved)

Details

analyze700.0ms (10.3%)

sample25.0ms (0.4%)

simplify236.0ms (3.5%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite14.0ms (0.2%)

series85.0ms (1.3%)

simplify62.0ms (0.9%)

prune22.0ms (0.3%)

localize10.0ms (0.1%)

rewrite24.0ms (0.4%)

series233.0ms (3.4%)

simplify65.0ms (1%)

prune40.0ms (0.6%)

localize11.0ms (0.2%)

rewrite49.0ms (0.7%)

series3.4s (50.6%)

simplify74.0ms (1.1%)

prune83.0ms (1.2%)

localize9.0ms (0.1%)

rewrite33.0ms (0.5%)

series373.0ms (5.5%)

simplify61.0ms (0.9%)

prune37.0ms (0.6%)

regimes131.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample953.0ms (14.1%)

Profiling