Details

analyze627.0ms

Algorithm

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
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.9%	73.3%	0.8%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample20.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	60×	body	80	invalid

simplify68.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	735	13
1	735	13

prune1.0ms

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

Merged error: 6.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
6.5b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
7.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

series116.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(*.f64 y (-.f64 z x))
36.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
50.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify66.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5130	849

prune45.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	9	69

Merged error: 0.0b

Counts

69 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
5.2b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
38×	`*-un-lft-identity_binary64`
34×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
25×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
19.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

series324.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 t)
80.0ms	(cbrt.f64 t)
83.0ms	(cbrt.f64 t)
78.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

simplify111.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4968	1659
1	4968	1659

prune78.0ms

Filtered

87 candidates to 116 candidates (-33.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	118	7	125

Merged error: 0b

Counts

125 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
6.2b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

5.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
9.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

series101.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
60.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

simplify64.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5061	850

prune37.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	58	7	65

Merged error: 0b

Counts

65 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
6.5b	(/.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (-.f64 z x) (cbrt.f64 y))) t)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-/r*_binary64` `pow1/3_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `associate-r/_binary64` `associate-l/_binary64`
1×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
17.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (-.f64 z x) (cbrt.f64 y))) t)

series364.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(cbrt.f64 y)
84.0ms	(cbrt.f64 y)
86.0ms	(cbrt.f64 y)
75.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (-.f64 z x) (cbrt.f64 y))) t)

simplify123.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4975	673
1	4975	673

prune39.0ms

Filtered

54 candidates to 74 candidates (-37.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	74	7	81

Merged error: 0b

Counts

81 → 7

regimes114.0ms

Accuracy

54.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	64
1	39	64

end0.0ms

sample575.0ms

Algorithm

intervals

Results

250.0ms	8000×	body	80	valid
66.0ms	2111×	body	80	invalid

Details

analyze627.0ms

sample20.0ms

simplify68.0ms

prune1.0ms

localize7.0ms

rewrite21.0ms

series116.0ms

simplify66.0ms

prune45.0ms

localize10.0ms

rewrite27.0ms

series324.0ms

simplify111.0ms

prune78.0ms

localize8.0ms

rewrite16.0ms

series101.0ms

simplify64.0ms

prune37.0ms

localize11.0ms

rewrite22.0ms

series364.0ms

simplify123.0ms

prune39.0ms

regimes114.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample575.0ms

Profiling