Details

analyze1.0s (10.6%)

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)

sample28.0ms (0.3%)

Algorithm

1×

intervals

Results

9.0ms	213×	body	128	valid
2.0ms	19×	body	512	valid
1.0ms	16×	body	256	valid
1.0ms	26×	body	128	invalid
1.0ms	7×	body	1024	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 27 to 28 computations (-3.7% saved)

simplify338.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (178.0ms)

Iter	Nodes	Cost
0	4813	19
1	4813	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: 19.5b

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)
2.8b	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
13.7b	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64_16253`
17×	`add-sqr-sqrt_binary64_16274`
10×	`add-exp-log_binary64_16288` `add-cbrt-cube_binary64_16286`
8×	`add-log-exp_binary64_16289`
7×	`add-cube-cbrt_binary64_16285`
5×	`times-frac_binary64_16259` `distribute-lft-out--_binary64_16207` `associate-l_binary64_16196` `pow1_binary64_16311` `associate-/r*_binary64_16199`
4×	`difference-of-squares_binary64_16222` `flip--_binary64_16228` `flip3--_binary64_16257` `associate-*l/_binary64_16198`
3×	`associate-r_binary64_16195`
2×	`cbrt-unprod_binary64_16283` `frac-sub_binary64_16262` `diff-log_binary64_16342` `div-exp_binary64_16301` `associate-/l/_binary64_16202` `associate-/r/_binary64_16201` `prod-exp_binary64_16299` `cbrt-undiv_binary64_16284`
1×	`clear-num_binary64_16252` `pow-prod-down_binary64_16321` `distribute-lft-out_binary64_16206` `-commutative_binary64_16186` `unswap-sqr_binary64_16221` `associate--l+_binary64_16192` `div-inv_binary64_16250` `flip3-+_binary64_16256` `sum-log_binary64_16341` `associate-/l_binary64_16200` `sub-neg_binary64_16246` `flip-+_binary64_16227` `frac-2neg_binary64_16264`

Counts

3 → 69

Calls

3 calls:

13.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
11.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
8.0ms	(*.f64 (-.f64 z t) y)

series576.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

361.0ms	(-.f64 (+.f64 x y) (/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t)))
159.0ms	(/.f64 (*.f64 (-.f64 z t) y) (-.f64 a t))
56.0ms	(*.f64 (-.f64 z t) y)

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4968	1273
1	4968	1273

prune96.0ms (1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	66	12	78
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	12	79

Merged error: 4.1b

Counts

79 → 12

Compiler

Compiled 1668 to 458 computations (72.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 a t))
0.5b	(cbrt.f64 (-.f64 a t))
4.2b	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
6.9b	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))

rewrite69.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

51×	`add-sqr-sqrt_binary64_16274`
36×	`times-frac_binary64_16259`
35×	`*-un-lft-identity_binary64_16253`
30×	`associate-r_binary64_16195`
27×	`cbrt-prod_binary64_16281`
25×	`add-exp-log_binary64_16288`
23×	`add-cube-cbrt_binary64_16285`
18×	`cbrt-div_binary64_16282` `add-cbrt-cube_binary64_16286`
17×	`associate-l_binary64_16196`
10×	`flip--_binary64_16228` `flip3--_binary64_16257` `associate-/r/_binary64_16201`
9×	`add-log-exp_binary64_16289`
8×	`cbrt-unprod_binary64_16283` `prod-exp_binary64_16299`
7×	`div-exp_binary64_16301` `frac-times_binary64_16263` `cbrt-undiv_binary64_16284`
6×	`unswap-sqr_binary64_16221` `frac-sub_binary64_16262` `difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207` `pow1_binary64_16311`
5×	`associate-r/_binary64_16197` `associate-l/_binary64_16198`
3×	`flip3-+_binary64_16256` `flip-+_binary64_16227`
2×	`diff-log_binary64_16342` `div-inv_binary64_16250` `pow1/3_binary64_16332`
1×	`pow-prod-down_binary64_16321` `*-commutative_binary64_16186` `associate--l+_binary64_16192` `sum-log_binary64_16341` `sub-neg_binary64_16246`

Counts

4 → 126

Calls

4 calls:

33.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
8.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))
4.0ms	(cbrt.f64 (-.f64 a t))
3.0ms	(cbrt.f64 (-.f64 a t))

series1.1s (10.9%)

Counts

4 → 12

Calls

4 calls:

376.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t)))))
264.0ms	(.f64 (/.f64 (-.f64 z t) (.f64 (cbrt.f64 (-.f64 a t)) (cbrt.f64 (-.f64 a t)))) (/.f64 y (cbrt.f64 (-.f64 a t))))
213.0ms	(cbrt.f64 (-.f64 a t))
207.0ms	(cbrt.f64 (-.f64 a t))

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5723	3545

prune162.0ms (1.7%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	131	7	138
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	133	17	150

Merged error: 4.0b

Counts

150 → 17

Compiler

Compiled 4492 to 945 computations (79% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z t))
0.9b	(*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))
2.5b	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
5.0b	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))

rewrite157.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

150×	`add-sqr-sqrt_binary64_16274`
122×	`cbrt-prod_binary64_16281`
118×	`times-frac_binary64_16259`
98×	`*-un-lft-identity_binary64_16253`
85×	`add-exp-log_binary64_16288`
71×	`associate-r_binary64_16195`
56×	`add-cube-cbrt_binary64_16285`
44×	`associate-l_binary64_16196`
41×	`add-cbrt-cube_binary64_16286`
36×	`cbrt-unprod_binary64_16283` `prod-exp_binary64_16299`
26×	`div-exp_binary64_16301` `cbrt-undiv_binary64_16284`
21×	`difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207`
16×	`associate-*r/_binary64_16197` `frac-times_binary64_16263`
15×	`unswap-sqr_binary64_16221`
14×	`frac-sub_binary64_16262`
11×	`pow1_binary64_16311`
10×	`associate-*l/_binary64_16198`
9×	`add-log-exp_binary64_16289`
8×	`cbrt-div_binary64_16282`
7×	`flip3-+_binary64_16256` `flip-+_binary64_16227`
6×	`associate-/r/_binary64_16201`
5×	`flip--_binary64_16228` `flip3--_binary64_16257`
4×	`pow-prod-down_binary64_16321`
3×	`div-inv_binary64_16250`
2×	`*-commutative_binary64_16186` `diff-log_binary64_16342`
1×	`associate--l+_binary64_16192` `sum-log_binary64_16341` `pow1/3_binary64_16332` `sub-neg_binary64_16246`

Counts

4 → 239

Calls

4 calls:

59.0ms	(*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))
41.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
10.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))
4.0ms	(cbrt.f64 (-.f64 z t))

series1.4s (14.1%)

Counts

4 → 12

Calls

4 calls:

504.0ms	(*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))
379.0ms	(-.f64 (+.f64 x y) (.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))))
276.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))) (cbrt.f64 (-.f64 a t))) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
212.0ms	(cbrt.f64 (-.f64 z t))

simplify135.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5021	8802

prune318.0ms (3.3%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	247	4	251
Fresh	2	13	15
Picked	1	0	1
Done	0	1	1
Total	250	18	268

Merged error: 4.0b

Counts

268 → 18

Compiler

Compiled 11234 to 1953 computations (82.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z t))
0.9b	(*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))
2.7b	(.f64 (cbrt.f64 (-.f64 z t)) (.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
3.8b	(-.f64 (+.f64 x y) (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))

rewrite156.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

149×	`add-sqr-sqrt_binary64_16274`
122×	`cbrt-prod_binary64_16281`
110×	`times-frac_binary64_16259`
97×	`*-un-lft-identity_binary64_16253`
71×	`associate-r_binary64_16195`
68×	`frac-times_binary64_16263`
55×	`add-cube-cbrt_binary64_16285`
48×	`associate-*l/_binary64_16198`
46×	`frac-sub_binary64_16262` `cbrt-div_binary64_16282`
38×	`associate-l_binary64_16196`
34×	`add-exp-log_binary64_16288`
33×	`associate-*r/_binary64_16197`
24×	`flip--_binary64_16228` `flip3--_binary64_16257`
23×	`flip3-+_binary64_16256` `flip-+_binary64_16227`
21×	`difference-of-squares_binary64_16222` `distribute-lft-out--_binary64_16207`
17×	`add-cbrt-cube_binary64_16286`
15×	`unswap-sqr_binary64_16221`
13×	`cbrt-unprod_binary64_16283` `prod-exp_binary64_16299`
11×	`pow1_binary64_16311`
9×	`add-log-exp_binary64_16289`
8×	`div-exp_binary64_16301` `cbrt-undiv_binary64_16284`
4×	`pow-prod-down_binary64_16321` `associate-/r/_binary64_16201`
2×	`*-commutative_binary64_16186` `diff-log_binary64_16342` `div-inv_binary64_16250`
1×	`associate--l+_binary64_16192` `sum-log_binary64_16341` `pow1/3_binary64_16332` `sub-neg_binary64_16246`

Counts

4 → 249

Calls

4 calls:

59.0ms	(*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))
30.0ms	(.f64 (cbrt.f64 (-.f64 z t)) (.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
14.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
3.0ms	(cbrt.f64 (-.f64 z t))

series2.1s (21.8%)

Counts

4 → 12

Calls

4 calls:

1.0s	(.f64 (cbrt.f64 (-.f64 z t)) (.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
506.0ms	(*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))
401.0ms	(-.f64 (+.f64 x y) (.f64 (.f64 (cbrt.f64 (-.f64 z t)) (*.f64 (/.f64 y (cbrt.f64 (-.f64 a t))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t))))) (/.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 a t)))))
207.0ms	(cbrt.f64 (-.f64 z t))

simplify119.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

261 → 261

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5349	12227

prune320.0ms (3.3%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	260	19	279

Merged error: 4.0b

Counts

279 → 19

Compiler

Compiled 13087 to 1765 computations (86.5% saved)

regimes222.0ms (2.3%)

Compiler: Compiled 3030 to 1595 computations (47.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	91	55
1	91	55

end0.0ms (0%)

sample1.2s (12.6%)

Algorithm

1×

intervals

Results

313.0ms	6756×	body	128	valid
60.0ms	517×	body	512	valid
57.0ms	345×	body	1024	valid
34.0ms	800×	body	128	invalid
25.0ms	319×	body	256	valid
12.0ms	63×	body	2048	valid

Compiler

Compiled 728 to 375 computations (48.5% saved)

Details

analyze1.0s (10.6%)

sample28.0ms (0.3%)

simplify338.0ms (3.5%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite37.0ms (0.4%)

series576.0ms (5.9%)

simplify39.0ms (0.4%)

prune96.0ms (1%)

localize14.0ms (0.1%)

rewrite69.0ms (0.7%)

series1.1s (10.9%)

simplify71.0ms (0.7%)

prune162.0ms (1.7%)

localize17.0ms (0.2%)

rewrite157.0ms (1.6%)

series1.4s (14.1%)

simplify135.0ms (1.4%)

prune318.0ms (3.3%)

localize16.0ms (0.2%)

rewrite156.0ms (1.6%)

series2.1s (21.8%)

simplify119.0ms (1.2%)

prune320.0ms (3.3%)

regimes222.0ms (2.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.2s (12.6%)

Profiling