Details

analyze2.7s (21.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

Compiler

Compiled 18 to 18 computations (0% saved)

sample53.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
8.0ms	145×	body	128	invalid

Compiler

Compiled 35 to 42 computations (-20% saved)

simplify216.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	937	25
1	937	25

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 34 to 34 computations (0% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))

rewrite75.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_3868`
14×	`cancel-sign-sub-inv_binary64_3795` `*-un-lft-identity_binary64_3829`
9×	`add-sqr-sqrt_binary64_3851` `associate-+l+_binary64_3762`
7×	`add-cube-cbrt_binary64_3864`
6×	`times-frac_binary64_3835` `sum-log_binary64_3920`
4×	`diff-log_binary64_3921`
3×	`flip3-+_binary64_3832` `add-exp-log_binary64_3867` `flip-+_binary64_3803` `add-cbrt-cube_binary64_3865` `pow1_binary64_3890`
2×	`div-inv_binary64_3826` `distribute-lft-out--_binary64_3781` `distribute-lft-out_binary64_3780` `+-commutative_binary64_3759` `frac-sub_binary64_3838` `sub-neg_binary64_3822` `associate--l+_binary64_3766`
1×	`flip--_binary64_3804` `associate-+l-_binary64_3764` `flip3--_binary64_3833` `difference-of-squares_binary64_3798`

Counts

3 → 60

Calls

3 calls:

27.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
26.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
11.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

series414.0ms (3.4%)

Counts

3 → 9

Calls

3 calls:

203.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
140.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
70.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5028	1670

prune121.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	66	4	70

Error

0.0b

Counts

70 → 4

Compiler

Compiled 1772 to 838 computations (52.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

rewrite57.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3860`
23×	`add-sqr-sqrt_binary64_3851`
18×	`cbrt-div_binary64_3861`
15×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
11×	`pow1_binary64_3890`
9×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `pow1/3_binary64_3911`
6×	`add-exp-log_binary64_3867` `swap-sqr_binary64_3796` `associate-r_binary64_3769` `associate-l_binary64_3770`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865` `frac-times_binary64_3839`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `associate-l/_binary64_3772` `pow-sqr_binary64_3802` `associate-r/_binary64_3771`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 87

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))
8.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

series820.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

236.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))
225.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
188.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
170.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4959	2613
1	4959	2613

prune304.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	5	103

Error

0.0b

Counts

103 → 5

Compiler

Compiled 4797 to 2378 computations (50.4% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))

rewrite152.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`cbrt-div_binary64_3861`
43×	`cbrt-prod_binary64_3860`
37×	`add-sqr-sqrt_binary64_3851`
35×	`*-un-lft-identity_binary64_3829`
26×	`frac-sub_binary64_3838`
16×	`frac-times_binary64_3839`
15×	`add-cube-cbrt_binary64_3864`
13×	`flip3-+_binary64_3832` `flip--_binary64_3804` `flip-+_binary64_3803` `flip3--_binary64_3833`
11×	`pow1_binary64_3890`
10×	`swap-sqr_binary64_3796`
9×	`distribute-lft-out--_binary64_3781` `pow1/3_binary64_3911`
8×	`associate-r_binary64_3769` `associate-l_binary64_3770`
7×	`difference-of-squares_binary64_3798`
6×	`add-exp-log_binary64_3867`
4×	`add-log-exp_binary64_3868` `unswap-sqr_binary64_3797` `add-cbrt-cube_binary64_3865` `associate-l/_binary64_3772` `associate-r/_binary64_3771`
2×	`pow-prod-down_binary64_3900` `pow-prod-up_binary64_3899` `pow-sqr_binary64_3802`
1×	`prod-exp_binary64_3878` `*-commutative_binary64_3760` `pow-plus_binary64_3892` `cbrt-unprod_binary64_3862` `pow2_binary64_3910`

Counts

4 → 123

Calls

4 calls:

51.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))
18.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
18.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
18.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))

series1.5s (12%)

Counts

4 → 12

Calls

4 calls:

581.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))))
308.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
301.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))
269.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)))

simplify165.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5033	7534

prune501.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	133	2	135
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	133	7	140

Error

0.0b

Counts

140 → 7

Compiler

Compiled 9725 to 4700 computations (51.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))) 4)
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
1.3b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

rewrite50.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_3860`
11×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829` `add-sqr-sqrt_binary64_3851`
9×	`unpow-prod-down_binary64_3908`
6×	`cbrt-div_binary64_3861`
5×	`add-exp-log_binary64_3867` `pow1_binary64_3890`
4×	`add-log-exp_binary64_3868` `add-cbrt-cube_binary64_3865` `pow1/3_binary64_3911`
3×	`flip3-+_binary64_3832` `flip-+_binary64_3803` `pow-unpow_binary64_3906`
2×	`pow-pow_binary64_3901`
1×	`pow-exp_binary64_3897` `sqr-pow_binary64_3801` `pow-to-exp_binary64_3898`

Counts

4 → 63

Calls

4 calls:

15.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))) 4)
7.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

series945.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

381.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))) 4)
219.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
180.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
165.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

simplify161.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4896	1781
1	4896	1781

prune251.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	75	7	82

Error

0.0b

Counts

82 → 7

Compiler

Compiled 3996 to 2178 computations (45.5% saved)

regimes1.0s (8.2%)

Accuracy

Total 0.0b remaining (12%)

Threshold costs 0.0b (12%)

Compiler

Compiled 13049 to 9321 computations (28.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

end0.0ms (0%)

sample2.5s (20.5%)

Algorithm

1×

intervals

Results

614.0ms	8000×	body	128	valid
297.0ms	3900×	body	128	invalid

Compiler

Compiled 896 to 645 computations (28% saved)

Details

analyze2.7s (21.9%)

sample53.0ms (0.4%)

simplify216.0ms (1.8%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite75.0ms (0.6%)

series414.0ms (3.4%)

simplify85.0ms (0.7%)

prune121.0ms (1%)

localize24.0ms (0.2%)

rewrite57.0ms (0.5%)

series820.0ms (6.7%)

simplify80.0ms (0.7%)

prune304.0ms (2.5%)

localize37.0ms (0.3%)

rewrite152.0ms (1.2%)

series1.5s (12%)

simplify165.0ms (1.4%)

prune501.0ms (4.1%)

localize22.0ms (0.2%)

rewrite50.0ms (0.4%)

series945.0ms (7.8%)

simplify161.0ms (1.3%)

prune251.0ms (2.1%)

regimes1.0s (8.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (20.5%)

Profiling