Details

analyze103.0ms (1.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11
0	1	1
1	1	1

Search

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

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample21.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	60×	body	1024	valid
3.0ms	133×	body	128	valid
3.0ms	39×	body	512	valid
1.0ms	8×	body	2048	valid
1.0ms	16×	body	256	valid

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify10.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

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

Error

30.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.5b	(cbrt.f64 x)
2.8b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite82.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

29.4b

Rules

18×	`cbrt-prod_binary64_450`
16×	`*-un-lft-identity_binary64_419`
15×	`add-sqr-sqrt_binary64_441`
7×	`add-cube-cbrt_binary64_454`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458`
4×	`difference-of-squares_binary64_388`
3×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `distribute-lft-out--_binary64_371`
2×	`distribute-lft-out_binary64_370` `pow1/3_binary64_501` `cbrt-div_binary64_451`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

3 → 49

Calls

3 calls:

9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 676 to 421 computations (37.7% saved)

series222.0ms (4.1%)

Error

14.1b

Counts

3 → 21

Calls

3 calls:

81.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))
74.0ms	(cbrt.f64 x)
44.0ms	(cbrt.f64 (+.f64 x 1))

Compiler

Compiled 765 to 662 computations (13.5% saved)

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4867	957
1	4867	957

prune67.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	6	71

Error

6.4b

Counts

71 → 6

Compiler

Compiled 983 to 662 computations (32.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.5b	(cbrt.f64 x)
8.1b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite192.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

41×	`cbrt-prod_binary64_450`
33×	`*-un-lft-identity_binary64_419`
25×	`add-sqr-sqrt_binary64_441`
17×	`add-cube-cbrt_binary64_454`
16×	`cbrt-div_binary64_451`
11×	`pow1_binary64_480`
9×	`swap-sqr_binary64_386`
8×	`pow1/3_binary64_501`
7×	`flip3-+_binary64_422` `flip-+_binary64_393` `distribute-lft-out_binary64_370` `associate-l_binary64_360` `associate-r_binary64_359`
6×	`add-log-exp_binary64_458` `add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385`
4×	`add-cbrt-cube_binary64_455` `frac-times_binary64_429` `unswap-sqr_binary64_387`
2×	`pow-prod-down_binary64_490` `pow-prod-up_binary64_489` `pow-sqr_binary64_392` `associate-l/_binary64_362` `associate-r/_binary64_361`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `pow2_binary64_500` `pow-plus_binary64_482` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 98

Calls

4 calls:

14.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
11.0ms	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2765 to 2086 computations (24.6% saved)

series318.0ms (5.9%)

Error

6.4b

Counts

4 → 33

Calls

4 calls:

88.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
72.0ms	(cbrt.f64 x)
66.0ms	(*.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))
50.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))

Compiler

Compiled 1686 to 1427 computations (15.4% saved)

simplify81.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4790	1928
1	4790	1928

prune175.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	130	7	137

Error

6.4b

Counts

137 → 7

Compiler

Compiled 3048 to 2299 computations (24.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)
0.5b	(cbrt.f64 x)
14.2b	(-.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))

rewrite164.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

28×	`cbrt-prod_binary64_450`
17×	`*-un-lft-identity_binary64_419`
13×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
10×	`unpow-prod-down_binary64_498`
6×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
5×	`pow1_binary64_480` `add-exp-log_binary64_457`
4×	`add-cbrt-cube_binary64_455` `cbrt-div_binary64_451`
3×	`pow1/3_binary64_501` `pow-unpow_binary64_496`
2×	`distribute-lft-out_binary64_370` `pow-pow_binary64_491`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394` `pow-to-exp_binary64_488` `pow-exp_binary64_487` `sqr-pow_binary64_391` `flip3-+_binary64_422` `flip-+_binary64_393`

Counts

4 → 70

Calls

4 calls:

11.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
6.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)
4.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2428 to 1952 computations (19.6% saved)

series335.0ms (6.2%)

Error

6.4b

Counts

4 → 30

Calls

4 calls:

89.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4) (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 x))
81.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 1 x))) 4)
74.0ms	(cbrt.f64 x)
45.0ms	(cbrt.f64 (cbrt.f64 (+.f64 1 x)))

Compiler

Compiled 1873 to 1621 computations (13.5% saved)

simplify76.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4824	1496
1	4824	1496

prune164.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	100	7	107

Error

6.4b

Counts

107 → 7

Compiler

Compiled 2846 to 2275 computations (20.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 (cbrt.f64 x))
14.7b	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite121.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

28×	`cbrt-prod_binary64_450`
10×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
6×	`add-log-exp_binary64_458`
4×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501`
2×	`pow3_binary64_502`
1×	`diff-log_binary64_511` `flip3--_binary64_423` `difference-cubes_binary64_421` `sub-neg_binary64_412` `flip--_binary64_394` `cancel-sign-sub-inv_binary64_385`

Counts

4 → 55

Calls

4 calls:

22.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))
1.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 (cbrt.f64 x))

Compiler

Compiled 2083 to 1088 computations (47.8% saved)

series381.0ms (7.1%)

Error

6.4b

Counts

4 → 18

Calls

4 calls:

94.0ms	(cbrt.f64 (cbrt.f64 x))
92.0ms	(cbrt.f64 (cbrt.f64 x))
90.0ms	(cbrt.f64 (cbrt.f64 x))
82.0ms	(-.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 1 x)) (cbrt.f64 (+.f64 1 x)))) (cbrt.f64 (cbrt.f64 (+.f64 1 x)))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

Compiler

Compiled 1183 to 930 computations (21.4% saved)

simplify93.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4934	901
1	4934	901

prune92.0ms (1.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	73	7	80

Error

6.4b

Counts

80 → 7

Compiler

Compiled 2008 to 1180 computations (41.2% saved)

regimes309.0ms (5.8%)

Accuracy

Total 0.5b remaining (5.2%)

Threshold costs 0.5b (5.2%)

Compiler

Compiled 3130 to 2391 computations (23.6% saved)

bsearch41.0ms (0.8%)

Steps

Iters	Range		Point
10	3.506742111137943e-12	0.10905354432520215	1.8934267798402808e-06
9	-13853.066453181591	-0.0031694335024260592	-1.0061171397038706

Compiler

Compiled 1 to 1 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	124	117
1	124	117

end0.0ms (0%)

sample2.2s (40.8%)

Algorithm

1×

intervals

Results

192.0ms	1948×	body	1024	valid
108.0ms	4254×	body	128	valid
81.0ms	1057×	body	512	valid
29.0ms	537×	body	256	valid
25.0ms	204×	body	2048	valid

Compiler

Compiled 1616 to 1237 computations (23.5% saved)

Details

analyze103.0ms (1.9%)

sample21.0ms (0.4%)

simplify10.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite82.0ms (1.5%)

series222.0ms (4.1%)

simplify79.0ms (1.5%)

prune67.0ms (1.2%)

localize11.0ms (0.2%)

rewrite192.0ms (3.6%)

series318.0ms (5.9%)

simplify81.0ms (1.5%)

prune175.0ms (3.3%)

localize15.0ms (0.3%)

rewrite164.0ms (3.1%)

series335.0ms (6.2%)

simplify76.0ms (1.4%)

prune164.0ms (3.1%)

localize15.0ms (0.3%)

rewrite121.0ms (2.3%)

series381.0ms (7.1%)

simplify93.0ms (1.7%)

prune92.0ms (1.7%)

regimes309.0ms (5.8%)

bsearch41.0ms (0.8%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.2s (40.8%)

Profiling