Details

analyze642.0ms

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

sample21.0ms

Algorithm

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	74×	body	128	invalid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	734	13
1	734	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: 5.3b

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))
5.6b	(/.f64 (*.f64 y (-.f64 z x)) t)

rewrite23.0ms

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

series259.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z x)) t))
71.0ms	(*.f64 y (-.f64 z x))
111.0ms	(/.f64 (*.f64 y (-.f64 z x)) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5135	849

prune47.0ms

Filtered

45 candidates to 68 candidates (-51.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	63	5	68
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	6	69

Merged error: 0.0b

Counts

69 → 6

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)
5.7b	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

rewrite37.0ms

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

series664.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(cbrt.f64 t)
144.0ms	(cbrt.f64 t)
148.0ms	(cbrt.f64 t)
236.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 t) (cbrt.f64 t))) (/.f64 (-.f64 z x) (cbrt.f64 t)))

simplify92.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4944	1665
1	4944	1665

prune82.0ms

Filtered

88 candidates to 116 candidates (-31.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	116	6	122

Merged error: 0.0b

Counts

122 → 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))
5.1b	(/.f64 y (/.f64 t (-.f64 z x)))

rewrite52.0ms

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:

22.0ms	(+.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)))

series277.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+.f64 x (/.f64 y (/.f64 t (-.f64 z x))))
73.0ms	(/.f64 t (-.f64 z x))
130.0ms	(/.f64 y (/.f64 t (-.f64 z x)))

simplify74.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5031	3116

prune94.0ms

Filtered

117 candidates to 160 candidates (-36.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	157	3	160
Fresh	3	0	3
Picked	0	1	1
Done	0	2	2
Total	160	6	166

Merged error: 0b

Counts

166 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
0.0b	(/.f64 1 (-.f64 z x))
6.7b	(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac_binary64`
387×	`*-un-lft-identity_binary64`
385×	`add-sqr-sqrt_binary64`
293×	`add-cube-cbrt_binary64`
46×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
38×	`div-inv_binary64`
31×	`associate-/r/_binary64`
26×	`associate-/r*_binary64`
23×	`add-exp-log_binary64`
17×	`add-cbrt-cube_binary64`
16×	`associate-/l*_binary64`
15×	`flip3--_binary64` `flip--_binary64`
12×	`div-exp_binary64`
9×	`cbrt-undiv_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
3×	`rec-exp_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `distribute-lft-out_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 381

Calls

3 calls:

73.0ms	(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
6.0ms	(/.f64 1 (-.f64 z x))
17.0ms	(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

81.0ms	(+.f64 x (/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x))))
41.0ms	(/.f64 1 (-.f64 z x))
129.0ms	(/.f64 (/.f64 y t) (/.f64 1 (-.f64 z x)))

simplify148.0ms

Algorithm

egg-herbie

Counts

390 → 390

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5066	10456

prune210.0ms

Filtered

215 candidates to 390 candidates (-81.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	390	0	390
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	390	6	396

Merged error: 0b

Counts

396 → 6

regimes73.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms

sample601.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	128	valid
66.0ms	2097×	body	128	invalid

Details

analyze642.0ms

sample21.0ms

simplify54.0ms

prune1.0ms

localize7.0ms

rewrite23.0ms

series259.0ms

simplify53.0ms

prune47.0ms

localize11.0ms

rewrite37.0ms

series664.0ms

simplify92.0ms

prune82.0ms

localize7.0ms

rewrite52.0ms

series277.0ms

simplify74.0ms

prune94.0ms

localize10.0ms

rewrite158.0ms

series250.0ms

simplify148.0ms

prune210.0ms

regimes73.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample601.0ms

Profiling