Details

analyze95.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

sample24.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5045	25

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
11×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `unpow-prod-down_binary64` `prod-exp_binary64`
2×	`diff-log_binary64` `difference-of-squares_binary64` `sum-log_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `unpow2_binary64` `pow-pow_binary64` `difference-of-sqr-1_binary64` `sqr-pow_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `pow-exp_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 65

Calls

4 calls:

11.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
5.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series153.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b))) 1)
51.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
17.0ms	(.f64 4 (.f64 b b))
31.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify67.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4963	1617
1	4963	1617

prune69.0ms

Filtered

53 candidates to 77 candidates (-45.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	74	3	77
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
0.0b	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
2.0b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`sum-log_binary64`
7×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `associate-+r+_binary64`

Counts

4 → 75

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
14.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
10.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2)))))
48.0ms	(+.f64 (+.f64 (pow.f64 b 4) (+.f64 (pow.f64 a 4) (.f64 (.f64 a a) (.f64 b (.f64 b 2))))) (.f64 4 (.f64 b b)))
19.0ms	(.f64 4 (.f64 b b))
33.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

simplify55.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5073	1735

prune79.0ms

Filtered

51 candidates to 87 candidates (-70.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0b

Counts

91 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (.f64 b b))
0.2b	(pow.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 b 4))) 3)
2.0b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
24.6b	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 b 4))) 3))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
19×	`*-un-lft-identity_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
14×	`cbrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `associate-l_binary64` `cube-div_binary64`
3×	`pow-unpow_binary64`
2×	`cbrt-div_binary64` `flip3-+_binary64` `associate-r_binary64` `sqr-pow_binary64` `flip-+_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `pow-pow_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64`

Counts

4 → 99

Calls

4 calls:

8.0ms	(.f64 4 (.f64 b b))
15.0ms	(pow.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 b 4))) 3)
10.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
15.0ms	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 b 4))) 3))

series367.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(.f64 4 (.f64 b b))
276.0ms	(pow.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 b 4))) 3)
31.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
41.0ms	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 a 4) (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (pow.f64 b 4))) 3))

simplify89.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5018	2680

prune84.0ms

Filtered

51 candidates to 111 candidates (-117.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	111	4	115

Merged error: 0b

Counts

115 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 b b) 4)
0.1b	(pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3)
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
13.7b	(cbrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
20×	`cbrt-prod_binary64`
17×	`unpow-prod-down_binary64`
14×	`cube-prod_binary64`
13×	`add-cube-cbrt_binary64`
11×	`pow1_binary64` `add-exp-log_binary64`
10×	`add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64`
6×	`pow-unpow_binary64`
4×	`add-log-exp_binary64` `difference-of-sqr-1_binary64` `cube-div_binary64` `distribute-lft-out--_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `sqr-pow_binary64` `prod-exp_binary64`
2×	`cbrt-div_binary64` `pow-to-exp_binary64` `flip3--_binary64` `pow-pow_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`rem-cbrt-cube_binary64` `unpow2_binary64` `pow1/3_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rem-cube-cbrt_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

6.0ms	(.f64 (.f64 b b) 4)
12.0ms	(pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3)
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
12.0ms	(cbrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3))

series527.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(.f64 (.f64 b b) 4)
424.0ms	(pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3)
32.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
54.0ms	(cbrt.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4)) 1) 3))

simplify92.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5067	3330

prune71.0ms

Filtered

57 candidates to 113 candidates (-98.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	113	4	117

Merged error: 0b

Counts

117 → 4

regimes83.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	37
1	36	37

end0.0ms

sample564.0ms

Algorithm

intervals

Results

409.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze95.0ms

sample24.0ms

simplify50.0ms

prune3.0ms

localize10.0ms

rewrite31.0ms

series153.0ms

simplify67.0ms

prune69.0ms

localize16.0ms

rewrite43.0ms

series143.0ms

simplify55.0ms

prune79.0ms

localize19.0ms

rewrite51.0ms

series367.0ms

simplify89.0ms

prune84.0ms

localize15.0ms

rewrite37.0ms

series527.0ms

simplify92.0ms

prune71.0ms

regimes83.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample564.0ms

Profiling