Details

analyze3.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample38.0ms (0.3%)

Algorithm

1×

intervals

Results

11.0ms	63×	body	1024	valid
6.0ms	45×	body	512	valid
6.0ms	125×	body	128	valid
2.0ms	10×	body	2048	valid
1.0ms	13×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify179.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune4.0ms (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

32.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize12.0ms (0.1%)

Local error

Found 6 expressions with local error:

2.1b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(cbrt.f64 (+.f64 x 1))
0.5b	(cbrt.f64 x)
2.1b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite32.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_102`
16×	`*-un-lft-identity_binary64_71`
15×	`add-sqr-sqrt_binary64_93`
7×	`add-cube-cbrt_binary64_106`
6×	`cancel-sign-sub-inv_binary64_37`
5×	`add-log-exp_binary64_110`
4×	`difference-of-squares_binary64_40`
3×	`add-cbrt-cube_binary64_107` `add-exp-log_binary64_109` `distribute-lft-out--_binary64_23` `pow1_binary64_132`
2×	`pow1/3_binary64_153` `distribute-lft-out_binary64_22` `cbrt-div_binary64_103`
1×	`flip--_binary64_46` `flip3--_binary64_75` `flip-+_binary64_45` `diff-log_binary64_163` `flip3-+_binary64_74` `sub-neg_binary64_64`

Counts

3 → 49

Calls

6 calls:

17.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
6.0ms	(cbrt.f64 (+.f64 x 1))
2.0ms	(cbrt.f64 x)
0.0ms	(cbrt.f64 (+.f64 x 1))
0.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series370.0ms (2.8%)

Counts

3 → 21

Calls

3 calls:

151.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
138.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 428 to 386 computations (9.8% saved)

simplify149.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4867	957
1	4867	957

prune188.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	7	71

Error

5.9b

Counts

71 → 7

Compiler

Compiled 1003 to 675 computations (32.7% saved)

localize28.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.1b	(+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
0.1b	(/.f64 1 (+.f64 (pow.f64 x 2/3) (*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.0b	(+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.3b	(cbrt.f64 (+.f64 x 1))
0.3b	(*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
0.5b	(cbrt.f64 x)
3.6b	(pow.f64 x 2/3)

rewrite57.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64_71`
16×	`cbrt-prod_binary64_102`
15×	`add-sqr-sqrt_binary64_93`
11×	`add-cube-cbrt_binary64_106`
8×	`cbrt-div_binary64_103`
7×	`associate-l_binary64_12` `add-exp-log_binary64_109` `flip-+_binary64_45` `pow1_binary64_132` `flip3-+_binary64_74`
6×	`distribute-lft-out_binary64_22` `associate-r_binary64_11`
5×	`add-cbrt-cube_binary64_107`
4×	`add-log-exp_binary64_110` `frac-times_binary64_81`
3×	`pow-unpow_binary64_148` `unpow-prod-down_binary64_150`
2×	`unswap-sqr_binary64_39` `pow1/3_binary64_153` `associate-l/_binary64_14` `associate-r/_binary64_13`
1×	`pow-exp_binary64_139` `pow-to-exp_binary64_140` `sqr-pow_binary64_43` `pow-pow_binary64_143` `distribute-lft-in_binary64_20` `*-commutative_binary64_2` `prod-exp_binary64_120` `cbrt-unprod_binary64_104` `pow-prod-down_binary64_142` `distribute-rgt-in_binary64_21`

Counts

4 → 78

Calls

8 calls:

31.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
6.0ms	(cbrt.f64 (+.f64 x 1))
4.0ms	(pow.f64 x 2/3)
2.0ms	(cbrt.f64 x)
0.0ms	(+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series579.0ms (4.4%)

Counts

4 → 24

Calls

4 calls:

220.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))
144.0ms	(cbrt.f64 x)
129.0ms	(pow.f64 x 2/3)
84.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 872 to 760 computations (12.8% saved)

simplify148.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4909	1587
1	4909	1587

prune301.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	100	9	109

Error

0.3b

Counts

109 → 9

Compiler

Compiled 2638 to 1947 computations (26.2% saved)

localize21.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.2b	(+.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
0.2b	(/.f64 1 (+.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.0b	(+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_102`
23×	`add-sqr-sqrt_binary64_93`
15×	`*-un-lft-identity_binary64_71` `add-cube-cbrt_binary64_106`
11×	`pow1_binary64_132`
9×	`pow1/3_binary64_153`
6×	`associate-r_binary64_11` `associate-l_binary64_12` `add-exp-log_binary64_109` `swap-sqr_binary64_38`
4×	`add-cbrt-cube_binary64_107` `unswap-sqr_binary64_39` `add-log-exp_binary64_110`
2×	`pow-sqr_binary64_44` `pow-prod-up_binary64_141` `pow-prod-down_binary64_142`
1×	`pow2_binary64_152` `*-commutative_binary64_2` `prod-exp_binary64_120` `cbrt-unprod_binary64_104` `pow-plus_binary64_134`

Counts

4 → 73

Calls

8 calls:

11.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)
0.0ms	(+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series540.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
136.0ms	(cbrt.f64 x)
122.0ms	(cbrt.f64 x)
120.0ms	(cbrt.f64 x)

Compiler

Compiled 538 to 430 computations (20.1% saved)

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune234.0ms (1.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	77	8	85
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	79	15	94

Error

0.2b

Counts

94 → 15

Compiler

Compiled 2281 to 1418 computations (37.8% saved)

localize35.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.2b	(+.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))))
0.2b	(/.f64 1 (+.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)) (*.f64 (cbrt.f64 (+.f64 x 1)) (+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))
0.0b	(+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
0.6b	(cbrt.f64 (cbrt.f64 x))
1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)

rewrite48.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`cbrt-prod_binary64_102`
26×	`add-sqr-sqrt_binary64_93`
18×	`*-un-lft-identity_binary64_71` `add-cube-cbrt_binary64_106`
12×	`pow1_binary64_132`
9×	`pow1/3_binary64_153` `unpow-prod-down_binary64_150`
7×	`add-exp-log_binary64_109`
6×	`associate-r_binary64_11` `associate-l_binary64_12` `swap-sqr_binary64_38`
4×	`add-cbrt-cube_binary64_107` `unswap-sqr_binary64_39` `add-log-exp_binary64_110`
3×	`pow-unpow_binary64_148`
2×	`pow-sqr_binary64_44` `pow-pow_binary64_143` `pow-prod-up_binary64_141` `pow-prod-down_binary64_142`
1×	`pow-exp_binary64_139` `pow-to-exp_binary64_140` `pow2_binary64_152` `sqr-pow_binary64_43` `*-commutative_binary64_2` `prod-exp_binary64_120` `cbrt-unprod_binary64_104` `pow-plus_binary64_134`

Counts

4 → 87

Calls

8 calls:

12.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
7.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
3.0ms	(cbrt.f64 (cbrt.f64 x))
0.0ms	(+.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series784.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

233.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 x)) 4)
211.0ms	(cbrt.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))
181.0ms	(cbrt.f64 (cbrt.f64 x))
160.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))

Compiler

Compiled 694 to 550 computations (20.7% saved)

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4797	937
1	4797	937

prune295.0ms (2.2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	94	5	99
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	96	18	114

Error

0.2b

Counts

114 → 18

Compiler

Compiled 2988 to 1712 computations (42.7% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	438	1916
1	438	1916

regimes199.0ms (1.5%)

Accuracy

Total 0.4b remaining (65.9%)

Threshold costs 0.4b (65.9%)

Compiler

Compiled 1171 to 870 computations (25.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	32
1	16	32

end0.0ms (0%)

sample8.7s (65.6%)

Algorithm

1×

intervals

Results

359.0ms	2036×	body	1024	valid
191.0ms	4238×	body	128	valid
129.0ms	1026×	body	512	valid
49.0ms	214×	body	2048	valid
42.0ms	486×	body	256	valid

Compiler

Compiled 3515 to 2612 computations (25.7% saved)

Pareto

0.17407585398092498

Details

analyze3.0ms (0%)

sample38.0ms (0.3%)

simplify179.0ms (1.3%)

prune4.0ms (0%)

localize12.0ms (0.1%)

rewrite32.0ms (0.2%)

series370.0ms (2.8%)

simplify149.0ms (1.1%)

prune188.0ms (1.4%)

localize28.0ms (0.2%)

rewrite57.0ms (0.4%)

series579.0ms (4.4%)

simplify148.0ms (1.1%)

prune301.0ms (2.3%)

localize21.0ms (0.2%)

rewrite28.0ms (0.2%)

series540.0ms (4.1%)

simplify127.0ms (1%)

prune234.0ms (1.8%)

localize35.0ms (0.3%)

rewrite48.0ms (0.4%)

series784.0ms (5.9%)

simplify114.0ms (0.9%)

prune295.0ms (2.2%)

simplify54.0ms (0.4%)

regimes199.0ms (1.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample8.7s (65.6%)

Profiling