Details

analyze566.0ms (8.5%)

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
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	55×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify170.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

prune6.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_4157`
1×	`+-commutative_binary64_4053` `sum-log_binary64_4209` `add-sqr-sqrt_binary64_4142` `flip-+_binary64_4095` `add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154` `add-cube-cbrt_binary64_4153` `*-un-lft-identity_binary64_4121` `pow1_binary64_4179` `flip3-+_binary64_4124`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

series76.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

76.0ms

(+.f64 (*.f64 x y) (*.f64 z t))

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4934	208
1	4934	208

prune11.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

Compiler

Compiled 205 to 57 computations (72.2% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.4b	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
1.6b	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
4.7b	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))
35.1b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))

rewrite61.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_4121`
15×	`add-sqr-sqrt_binary64_4142` `times-frac_binary64_4127` `add-cube-cbrt_binary64_4153`
11×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
9×	`pow1_binary64_4179`
8×	`add-log-exp_binary64_4157` `sub-neg_binary64_4114` `distribute-lft-in_binary64_4072` `distribute-rgt-in_binary64_4073`
5×	`sum-cubes_binary64_4122` `distribute-lft-out_binary64_4074` `associate-/l*_binary64_4068`
4×	`flip-+_binary64_4095` `flip3-+_binary64_4124` `associate-+r+_binary64_4055` `associate-*r/_binary64_4065`
3×	`cbrt-unprod_binary64_4151` `associate-l_binary64_4064` `prod-exp_binary64_4167` `associate-/r*_binary64_4067` `pow-prod-down_binary64_4189`
2×	`+-commutative_binary64_4053` `associate-/r/_binary64_4069` `associate-/l/_binary64_4070` `sum-log_binary64_4209`
1×	`div-exp_binary64_4169` `div-inv_binary64_4118` `cbrt-undiv_binary64_4152` `associate-r_binary64_4063` `flip--_binary64_4096` `*-commutative_binary64_4054` `frac-2neg_binary64_4132` `flip3--_binary64_4125` `clear-num_binary64_4120`

Counts

4 → 91

Calls

4 calls:

20.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
10.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
9.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
8.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

series970.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

341.0ms	(+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3))
320.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y))))))
180.0ms	(+.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z (.f64 t (-.f64 (.f64 z t) (*.f64 x y)))))
129.0ms	(.f64 z (.f64 t (-.f64 (.f64 z t) (.f64 x y))))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5634	4052

prune137.0ms (2.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	101	4	105

Merged error: 0.0b

Counts

105 → 4

Compiler

Compiled 4621 to 1065 computations (77% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

4.3b	(+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t)))
8.1b	(.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (*.f64 z t))
11.3b	(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t))) (+.f64 (.f64 z t) (.f64 x y)))
35.1b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t))) (+.f64 (.f64 z t) (*.f64 x y)))))

rewrite99.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`*-un-lft-identity_binary64_4121`
29×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
27×	`times-frac_binary64_4127`
25×	`pow1_binary64_4179`
23×	`add-sqr-sqrt_binary64_4142` `add-cube-cbrt_binary64_4153`
15×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `pow-prod-down_binary64_4189`
9×	`associate-/l*_binary64_4068`
6×	`add-log-exp_binary64_4157` `associate-/r*_binary64_4067`
5×	`flip-+_binary64_4095` `unpow3_binary64_4184` `distribute-rgt-out_binary64_4076` `flip3-+_binary64_4124`
4×	`associate-/r/_binary64_4069` `associate-/l/_binary64_4070` `sum-cubes_binary64_4122` `distribute-lft-out_binary64_4074`
3×	`distribute-rgt-neg-out_binary64_4083` `distribute-lft-neg-out_binary64_4082`
2×	`div-exp_binary64_4169` `div-inv_binary64_4118` `cbrt-undiv_binary64_4152` `frac-2neg_binary64_4132` `clear-num_binary64_4120` `unsub-neg_binary64_4115`
1×	`associate-l_binary64_4064` `+-commutative_binary64_4053` `associate-r_binary64_4063` `sum-log_binary64_4209` `*-commutative_binary64_4054` `div-sub_binary64_4126`

Counts

4 → 117

Calls

4 calls:

34.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t))) (+.f64 (.f64 z t) (*.f64 x y)))))
17.0ms	(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t))) (+.f64 (.f64 z t) (.f64 x y)))
12.0ms	(+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t)))
10.0ms	(.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (*.f64 z t))

series1.1s (16.8%)

Counts

4 → 12

Calls

4 calls:

436.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t))) (+.f64 (.f64 z t) (*.f64 x y)))))
305.0ms	(/.f64 (+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t))) (+.f64 (.f64 z t) (.f64 x y)))
278.0ms	(+.f64 (pow.f64 (.f64 z t) 3) (.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (.f64 z t)))
105.0ms	(.f64 (.f64 (.f64 x y) (neg.f64 (.f64 x y))) (*.f64 z t))

simplify116.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4962	6744
1	4962	6744

prune229.0ms (3.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	130	3	133

Merged error: 0.0b

Counts

133 → 3

Compiler

Compiled 7867 to 2076 computations (73.6% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.8b	(-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))
6.6b	(.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y))))
11.3b	(/.f64 (.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 (.f64 z t) (.f64 x y)))
35.1b	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 (.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 (.f64 z t) (*.f64 x y)))))

rewrite82.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64_4121`
20×	`add-exp-log_binary64_4156` `add-cbrt-cube_binary64_4154`
18×	`times-frac_binary64_4127`
17×	`add-sqr-sqrt_binary64_4142` `add-cube-cbrt_binary64_4153`
9×	`pow1_binary64_4179`
6×	`cbrt-unprod_binary64_4151` `prod-exp_binary64_4167` `add-log-exp_binary64_4157` `associate-/r_binary64_4067` `associate-/l_binary64_4068`
4×	`div-exp_binary64_4169` `associate-/r/_binary64_4069` `cbrt-undiv_binary64_4152` `associate-/l/_binary64_4070` `associate-r_binary64_4063` `sum-cubes_binary64_4122` `distribute-lft-out_binary64_4074` `associate-*r/_binary64_4065`
3×	`flip--_binary64_4096` `sub-neg_binary64_4114` `flip-+_binary64_4095` `flip3--_binary64_4125` `pow-prod-down_binary64_4189` `flip3-+_binary64_4124`
2×	`div-inv_binary64_4118` `difference-of-squares_binary64_4090` `frac-2neg_binary64_4132` `clear-num_binary64_4120`
1×	`associate-l_binary64_4064` `diff-log_binary64_4210` `distribute-lft-in_binary64_4072` `*-commutative_binary64_4054` `distribute-rgt-in_binary64_4073`

Counts

4 → 101

Calls

4 calls:

24.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 (.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 (.f64 z t) (*.f64 x y)))))
18.0ms	(/.f64 (.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 (.f64 z t) (.f64 x y)))
13.0ms	(.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y))))
9.0ms	(-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))

series1.2s (17.6%)

Counts

4 → 12

Calls

4 calls:

424.0ms	(/.f64 (+.f64 (pow.f64 (.f64 x y) 3) (pow.f64 (.f64 z t) 3)) (+.f64 (.f64 (.f64 x y) (.f64 x y)) (/.f64 (.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 (.f64 z t) (*.f64 x y)))))
300.0ms	(/.f64 (.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))) (+.f64 (.f64 z t) (.f64 x y)))
268.0ms	(.f64 (.f64 z t) (-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y))))
186.0ms	(-.f64 (.f64 (.f64 z t) (.f64 z t)) (.f64 (.f64 x y) (.f64 x y)))

simplify98.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5082	4344

prune189.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	113	3	116

Merged error: 0.0b

Counts

116 → 3

Compiler

Compiled 5681 to 1941 computations (65.8% saved)

regimes357.0ms (5.3%)

Compiler: Compiled 6173 to 2649 computations (57.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample985.0ms (14.7%)

Algorithm

1×

intervals

Results

207.0ms	8000×	body	128	valid
35.0ms	1325×	body	128	invalid

Compiler

Compiled 892 to 388 computations (56.5% saved)

Details

analyze566.0ms (8.5%)

sample18.0ms (0.3%)

simplify170.0ms (2.5%)

prune6.0ms (0.1%)

localize6.0ms (0.1%)

rewrite5.0ms (0.1%)

series76.0ms (1.1%)

simplify69.0ms (1%)

prune11.0ms (0.2%)

localize16.0ms (0.2%)

rewrite61.0ms (0.9%)

series970.0ms (14.5%)

simplify64.0ms (1%)

prune137.0ms (2.1%)

localize22.0ms (0.3%)

rewrite99.0ms (1.5%)

series1.1s (16.8%)

simplify116.0ms (1.7%)

prune229.0ms (3.4%)

localize23.0ms (0.3%)

rewrite82.0ms (1.2%)

series1.2s (17.6%)

simplify98.0ms (1.5%)

prune189.0ms (2.8%)

regimes357.0ms (5.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample985.0ms (14.7%)

Profiling