Details

analyze651.0ms

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

sample23.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	67×	body	80	invalid

simplify46.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune4.0ms

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: 7.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
0.0b	(*.f64 y (-.f64 z x))
8.4b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite22.0ms

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:

5.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
7.0ms	(*.f64 y (-.f64 z x))
8.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

series38.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
12.0ms	(*.f64 y (-.f64 z x))
14.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify52.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5612	574

prune82.0ms

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

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
4.0b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite32.0ms

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)
24.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

series67.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)
15.0ms	(cbrt.f64 t)
21.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

simplify83.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4970	1068
1	4970	1068

prune110.0ms

Filtered

87 candidates to 116 candidates (-33.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	4	3	7
Picked	0	1	1
Done	0	1	1
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
6.1b	(*.f64 (/.f64 y t) (-.f64 z x))

rewrite17.0ms

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))
10.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

series28.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y t) (-.f64 z x)) 1))
15.0ms	(*.f64 (/.f64 y t) (-.f64 z x))

simplify46.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5069	572

prune61.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	58	6	64

Merged error: 0b

Counts

64 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
0.0b	(/.f64 t (-.f64 z x))
7.0b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 151

Calls

3 calls:

23.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
6.0ms	(/.f64 t (-.f64 z x))
10.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

series35.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
8.0ms	(/.f64 t (-.f64 z x))
15.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

simplify59.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5039	2025

prune114.0ms

Filtered

117 candidates to 160 candidates (-36.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	159	1	160
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	160	6	166

Merged error: 0b

Counts

166 → 6

regimes359.0ms

Accuracy

34.8% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 3.0b

bsearch25.0ms

Steps

Iters	Range		Point
4	1.2349313855203775e-151	2.3547761463492057e-151	2.0458176807427126e-151
9	-2.8850449965921293e-119	-2.4881875808881254e-125	-1.8785827045278664e-119

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	42
1	41	42

end0.0ms

sample599.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
64.0ms	2069×	body	80	invalid

Details

analyze651.0ms

sample23.0ms

simplify46.0ms

prune4.0ms

localize7.0ms

rewrite22.0ms

series38.0ms

simplify52.0ms

prune82.0ms

localize11.0ms

rewrite32.0ms

series67.0ms

simplify83.0ms

prune110.0ms

localize9.0ms

rewrite17.0ms

series28.0ms

simplify46.0ms

prune61.0ms

localize7.0ms

rewrite47.0ms

series35.0ms

simplify59.0ms

prune114.0ms

regimes359.0ms

bsearch25.0ms

simplify3.0ms

end0.0ms

sample599.0ms

Profiling