Details

analyze20.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
87.4%	12.5%	0.1%	6
87.4%	12.5%	0.1%	7
93.7%	6.2%	0.1%	8
93.7%	6.2%	0.1%	9
96.8%	3.1%	0.1%	10
96.8%	3.1%	0.1%	11
98.3%	1.6%	0.1%	12
98.3%	1.6%	0.1%	13
99.1%	0.8%	0.1%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	249×	body	128	valid
0.0ms	4×	body	512	valid
0.0ms	2×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 17 to 17 computations (0% saved)

simplify172.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	55	12
1	55	12

prune2.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_3110` `add-log-exp_binary64_3146`
1×	`+-commutative_binary64_3042` `distribute-lft-out_binary64_3063` `add-cube-cbrt_binary64_3142` `add-exp-log_binary64_3145` `pow1_binary64_3168` `flip3-+_binary64_3113` `sum-log_binary64_3198` `add-cbrt-cube_binary64_3143` `flip-+_binary64_3084` `add-sqr-sqrt_binary64_3131`

Counts

1 → 12

Calls

1 calls:

8.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

series44.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

44.0ms

(+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))

simplify61.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5380	259

prune17.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	12	3	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	12	4	16

Merged error: 0.0b

Counts

16 → 4

Compiler

Compiled 292 to 150 computations (48.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite54.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_3138`
35×	`*-un-lft-identity_binary64_3110`
23×	`add-sqr-sqrt_binary64_3131`
18×	`cbrt-div_binary64_3139`
15×	`add-cube-cbrt_binary64_3142`
11×	`pow1_binary64_3168`
9×	`distribute-lft-out_binary64_3063` `swap-sqr_binary64_3077` `flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
7×	`associate-l_binary64_3053` `associate-r_binary64_3052`
6×	`add-exp-log_binary64_3145`
4×	`frac-times_binary64_3120` `add-log-exp_binary64_3146` `unswap-sqr_binary64_3078` `add-cbrt-cube_binary64_3143`
2×	`pow-prod-down_binary64_3178` `pow-sqr_binary64_3083` `associate-r/_binary64_3054` `associate-l/_binary64_3055` `pow-prod-up_binary64_3177`
1×	`pow2_binary64_3188` `prod-exp_binary64_3156` `cbrt-unprod_binary64_3140` `*-commutative_binary64_3043` `pow-plus_binary64_3170`

Counts

4 → 95

Calls

4 calls:

21.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
6.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series875.0ms (16.6%)

Counts

4 → 12

Calls

4 calls:

250.0ms	(*.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))) (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
213.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
210.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
202.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4991	3142
1	4991	3142

prune183.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

Compiler

Compiled 4194 to 2228 computations (46.9% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
1.1b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 5)

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`cbrt-prod_binary64_3138`
21×	`*-un-lft-identity_binary64_3110`
13×	`add-cube-cbrt_binary64_3142` `add-sqr-sqrt_binary64_3131`
10×	`cbrt-div_binary64_3139` `unpow-prod-down_binary64_3186`
5×	`add-exp-log_binary64_3145` `pow1_binary64_3168`
4×	`distribute-lft-out_binary64_3063` `add-log-exp_binary64_3146` `pow1/3_binary64_3189` `add-cbrt-cube_binary64_3143`
3×	`flip3-+_binary64_3113` `pow-unpow_binary64_3184` `flip-+_binary64_3084`
2×	`pow-pow_binary64_3179`
1×	`pow-exp_binary64_3175` `sqr-pow_binary64_3082` `pow-to-exp_binary64_3176`

Counts

4 → 73

Calls

4 calls:

10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 5)
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series1.2s (22.6%)

Counts

4 → 12

Calls

4 calls:

576.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 5)
212.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
209.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2))))
198.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4949	2621
1	4949	2621

prune169.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0.0b

Counts

91 → 6

Compiler

Compiled 3876 to 2243 computations (42.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3)
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
0.6b	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_3110`
20×	`cbrt-prod_binary64_3138`
14×	`sqrt-prod_binary64_3125` `add-cube-cbrt_binary64_3142` `add-sqr-sqrt_binary64_3131`
10×	`cube-prod_binary64_3135` `unpow-prod-down_binary64_3186`
8×	`cbrt-div_binary64_3139`
6×	`pow1_binary64_3168`
5×	`distribute-lft-out_binary64_3063` `add-exp-log_binary64_3145` `add-cbrt-cube_binary64_3143`
4×	`pow-pow_binary64_3179` `add-log-exp_binary64_3146` `flip3-+_binary64_3113` `pow1/3_binary64_3189` `flip-+_binary64_3084`
3×	`pow-unpow_binary64_3184`
2×	`cube-div_binary64_3136` `sqrt-pow1_binary64_3127` `sqrt-div_binary64_3126`
1×	`rem-cube-cbrt_binary64_3132` `sqrt-pow2_binary64_3128` `pow-exp_binary64_3175` `pow1/2_binary64_3187` `unpow3_binary64_3173` `sqr-pow_binary64_3082` `cube-mult_binary64_3137` `pow-to-exp_binary64_3176`

Counts

4 → 85

Calls

4 calls:

11.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3)
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
7.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

series1.0s (19.3%)

Counts

4 → 12

Calls

4 calls:

408.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))) 3)
206.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
203.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))
202.0ms	(cbrt.f64 (+.f64 x (/.f64 (fabs.f64 (-.f64 y x)) 2)))

simplify68.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5578	2624

prune187.0ms (3.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	96	1	97
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

Compiler

Compiled 4155 to 2363 computations (43.1% saved)

regimes123.0ms (2.3%)

Compiler: Compiled 1478 to 967 computations (34.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms (0%)

sample810.0ms (15.3%)

Algorithm

1×

intervals

Results

210.0ms	7712×	body	128	valid
9.0ms	100×	body	1024	valid
9.0ms	78×	body	2048	valid
5.0ms	72×	body	512	valid
2.0ms	38×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 503 to 332 computations (34% saved)

Details

analyze20.0ms (0.4%)

sample19.0ms (0.4%)

simplify172.0ms (3.3%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite9.0ms (0.2%)

series44.0ms (0.8%)

simplify61.0ms (1.1%)

prune17.0ms (0.3%)

localize10.0ms (0.2%)

rewrite54.0ms (1%)

series875.0ms (16.6%)

simplify63.0ms (1.2%)

prune183.0ms (3.5%)

localize16.0ms (0.3%)

rewrite41.0ms (0.8%)

series1.2s (22.6%)

simplify62.0ms (1.2%)

prune169.0ms (3.2%)

localize13.0ms (0.3%)

rewrite43.0ms (0.8%)

series1.0s (19.3%)

simplify68.0ms (1.3%)

prune187.0ms (3.5%)

regimes123.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample810.0ms (15.3%)

Profiling