Details

analyze951.0ms (11%)

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
0%	99.8%	0.2%	9
3.5%	96.2%	0.2%	10
9.8%	89.9%	0.2%	11
14.1%	85.7%	0.2%	12
22.6%	77.1%	0.2%	13
23.7%	76%	0.2%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample26.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	211×	body	128	valid
2.0ms	18×	body	512	valid
2.0ms	13×	body	1024	valid
1.0ms	14×	body	256	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify345.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	4749	19
1	4749	19

prune2.0ms (0%)

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: 16.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 z t) y)
2.3b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
10.7b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_17469`
21×	`add-sqr-sqrt_binary64_17491`
11×	`cancel-sign-sub-inv_binary64_17435`
10×	`add-exp-log_binary64_17507` `times-frac_binary64_17475` `add-cbrt-cube_binary64_17505`
9×	`add-cube-cbrt_binary64_17504`
8×	`add-log-exp_binary64_17508`
6×	`distribute-lft-out--_binary64_17421`
5×	`associate-/r_binary64_17413` `associate-l*_binary64_17410` `difference-of-squares_binary64_17438` `pow1_binary64_17530` `flip3--_binary64_17473` `flip--_binary64_17444`
4×	`associate-/r/_binary64_17415` `associate-*l/_binary64_17412`
3×	`associate-r_binary64_17409`
2×	`associate-/l/_binary64_17416` `prod-exp_binary64_17518` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `diff-log_binary64_17561` `cbrt-unprod_binary64_17502` `frac-sub_binary64_17478` `div-inv_binary64_17466`
1×	`associate-/l_binary64_17414` `sub-neg_binary64_17462` `distribute-lft-out_binary64_17420` `-commutative_binary64_17400` `frac-2neg_binary64_17480` `flip3-+_binary64_17472` `flip-+_binary64_17443` `associate--l+_binary64_17406` `unswap-sqr_binary64_17437` `clear-num_binary64_17468` `pow-prod-down_binary64_17540` `sum-log_binary64_17560`

Counts

3 → 80

Calls

3 calls:

15.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
12.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
8.0ms	(*.f64 (-.f64 z t) y)

series556.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

347.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
153.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
55.0ms	(*.f64 (-.f64 z t) y)

simplify42.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5392	1513

prune93.0ms (1.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	82	7	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	7	90

Merged error: 3.9b

Counts

90 → 7

Compiler

Compiled 1714 to 395 computations (77% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (-.f64 a t))
2.8b	(-.f64 (+.f64 x y) (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
11.1b	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_17491`
39×	`*-un-lft-identity_binary64_17469`
31×	`times-frac_binary64_17475`
23×	`add-cube-cbrt_binary64_17504`
21×	`associate-r_binary64_17409`
10×	`add-exp-log_binary64_17507` `frac-sub_binary64_17478` `add-cbrt-cube_binary64_17505`
9×	`flip3--_binary64_17473` `flip--_binary64_17444`
8×	`difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421` `add-log-exp_binary64_17508`
6×	`frac-times_binary64_17479` `associate-*l/_binary64_17412`
5×	`associate-/r_binary64_17413` `associate-l*_binary64_17410` `flip3-+_binary64_17472` `flip-+_binary64_17443` `pow1_binary64_17530`
4×	`associate-/r/_binary64_17415`
3×	`associate-/l_binary64_17414` `associate-r/_binary64_17411`
2×	`prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `div-exp_binary64_17520` `cbrt-undiv_binary64_17503` `diff-log_binary64_17561` `cbrt-unprod_binary64_17502` `div-inv_binary64_17466`
1×	`sub-neg_binary64_17462` `*-commutative_binary64_17400` `frac-2neg_binary64_17480` `associate--l+_binary64_17406` `clear-num_binary64_17468` `cancel-sign-sub-inv_binary64_17435` `pow-prod-down_binary64_17540` `sum-log_binary64_17560`

Counts

3 → 107

Calls

3 calls:

17.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
9.0ms	(-.f64 (+.f64 x y) (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
6.0ms	(/.f64 y (-.f64 a t))

series598.0ms (6.9%)

Counts

3 → 9

Calls

3 calls:

376.0ms	(-.f64 (+.f64 x y) (*.f64 (-.f64 z t) (/.f64 y (-.f64 a t))))
154.0ms	(*.f64 (-.f64 z t) (/.f64 y (-.f64 a t)))
67.0ms	(/.f64 y (-.f64 a t))

simplify68.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5438	2369

prune106.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	113	10	123

Merged error: 3.8b

Counts

123 → 10

Compiler

Compiled 2687 to 604 computations (77.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
3.8b	(.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))))
8.9b	(-.f64 (+.f64 x y) (.f64 (.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))

rewrite66.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`frac-times_binary64_17479`
22×	`add-exp-log_binary64_17507` `associate-*l/_binary64_17412` `frac-sub_binary64_17478`
17×	`flip3--_binary64_17473` `flip--_binary64_17444`
14×	`add-cbrt-cube_binary64_17505`
13×	`add-sqr-sqrt_binary64_17491` `associate-r_binary64_17409`
12×	`cbrt-div_binary64_17501`
11×	`flip3-+_binary64_17472` `flip-+_binary64_17443`
10×	`*-un-lft-identity_binary64_17469`
9×	`associate-*r/_binary64_17411` `prod-exp_binary64_17518` `cbrt-unprod_binary64_17502` `add-log-exp_binary64_17508`
8×	`add-cube-cbrt_binary64_17504` `associate-/r/_binary64_17415`
6×	`cbrt-prod_binary64_17500` `pow1_binary64_17530`
5×	`associate-l_binary64_17410`
4×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503`
2×	`pow1/3_binary64_17551` `unswap-sqr_binary64_17437` `diff-log_binary64_17561` `times-frac_binary64_17475`
1×	`sub-neg_binary64_17462` `*-commutative_binary64_17400` `difference-of-squares_binary64_17438` `associate--l+_binary64_17406` `cancel-sign-sub-inv_binary64_17435` `pow-prod-down_binary64_17540` `distribute-lft-out--_binary64_17421` `div-inv_binary64_17466` `sum-log_binary64_17560`

Counts

4 → 102

Calls

4 calls:

28.0ms	(.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))))
13.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series1.3s (14.8%)

Counts

4 → 12

Calls

4 calls:

588.0ms	(.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))))
388.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (-.f64 z t) (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t))))) (/.f64 (cbrt.f64 y) (cbrt.f64 (-.f64 a t)))))
159.0ms	(cbrt.f64 y)
144.0ms	(cbrt.f64 y)

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4926	3727
1	4926	3727

prune143.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	114	10	124

Merged error: 3.8b

Counts

124 → 10

Compiler

Compiled 4440 to 993 computations (77.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z t))
3.5b	(*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t)))
7.6b	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t))))
8.9b	(-.f64 (+.f64 x y) (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t)))))

rewrite156.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

330×	`cbrt-div_binary64_17501`
248×	`frac-times_binary64_17479`
167×	`flip3--_binary64_17473` `flip--_binary64_17444`
107×	`associate-*r/_binary64_17411`
106×	`frac-sub_binary64_17478`
88×	`associate-*l/_binary64_17412`
53×	`flip3-+_binary64_17472` `flip-+_binary64_17443`
36×	`add-sqr-sqrt_binary64_17491`
30×	`add-exp-log_binary64_17507`
26×	`*-un-lft-identity_binary64_17469`
22×	`associate-l_binary64_17410`
18×	`pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
17×	`times-frac_binary64_17475`
16×	`add-cube-cbrt_binary64_17504`
15×	`prod-exp_binary64_17518` `cbrt-unprod_binary64_17502`
12×	`cbrt-prod_binary64_17500`
9×	`pow-prod-down_binary64_17540` `add-log-exp_binary64_17508` `associate-r_binary64_17409`
5×	`difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421`
4×	`unswap-sqr_binary64_17437`
3×	`div-exp_binary64_17520` `cbrt-undiv_binary64_17503`
2×	`*-commutative_binary64_17400` `associate-/r/_binary64_17415` `diff-log_binary64_17561`
1×	`sub-neg_binary64_17462` `pow1/3_binary64_17551` `associate--l+_binary64_17406` `cancel-sign-sub-inv_binary64_17435` `div-inv_binary64_17466` `sum-log_binary64_17560`

Counts

4 → 265

Calls

4 calls:

30.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t))))
24.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t)))))
18.0ms	(*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t)))
4.0ms	(cbrt.f64 (-.f64 z t))

series1.2s (13.7%)

Counts

4 → 12

Calls

4 calls:

406.0ms	(*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t)))
381.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t)))))
213.0ms	(cbrt.f64 (-.f64 z t))
183.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (*.f64 (/.f64 y (-.f64 a t)) (cbrt.f64 (-.f64 z t))))

simplify183.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

277 → 277

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5048	19473

prune411.0ms (4.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	277	0	277
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	277	10	287

Merged error: 3.8b

Counts

287 → 10

Compiler

Compiled 14941 to 2680 computations (82.1% saved)

regimes767.0ms (8.9%)

Compiler: Compiled 5112 to 3342 computations (34.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 13 to 11 computations (15.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	147	109
1	147	109

end0.0ms (0%)

sample1.4s (16.2%)

Algorithm

1×

intervals

Results

282.0ms	6762×	body	128	valid
58.0ms	475×	body	512	valid
52.0ms	337×	body	1024	valid
28.0ms	701×	body	128	invalid
27.0ms	360×	body	256	valid
12.0ms	66×	body	2048	valid

Compiler

Compiled 1006 to 625 computations (37.9% saved)

Details

analyze951.0ms (11%)

sample26.0ms (0.3%)

simplify345.0ms (4%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite46.0ms (0.5%)

series556.0ms (6.4%)

simplify42.0ms (0.5%)

prune93.0ms (1.1%)

localize11.0ms (0.1%)

rewrite45.0ms (0.5%)

series598.0ms (6.9%)

simplify68.0ms (0.8%)

prune106.0ms (1.2%)

localize18.0ms (0.2%)

rewrite66.0ms (0.8%)

series1.3s (14.8%)

simplify93.0ms (1.1%)

prune143.0ms (1.7%)

localize13.0ms (0.1%)

rewrite156.0ms (1.8%)

series1.2s (13.7%)

simplify183.0ms (2.1%)

prune411.0ms (4.8%)

regimes767.0ms (8.9%)

bsearch3.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.4s (16.2%)

Profiling