Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

392×

body

valid

simplify194.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	16	5
1	40	4
2	88	4
3	142	4
4	202	4
5	400	4
6	1349	4
7	4714	4
8	5003	4

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

Merged error: 0.1b

Counts

2 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.2b	(* 0.12900613773279798 (* x x))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

315×	`add-sqr-sqrt`
252×	`prod-diff`
191×	`associate-r`
167×	`*-un-lft-identity`
159×	`add-cube-cbrt`
86×	`distribute-rgt-in` `distribute-lft-in`
83×	`unswap-sqr`
65×	`associate-l`
42×	`swap-sqr`
33×	`*-commutative`
12×	`difference-of-squares`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
3×	`expm1-log1p-u` `sub-neg` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `associate-*r/` `flip--`
1×	`diff-log`

Counts

3 → 350

Calls

3 calls:

21.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
26.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
9.0ms	(* 0.12900613773279798 (* x x))

series203.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
111.0ms	(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
28.0ms	(* 0.12900613773279798 (* x x))

simplify141.0ms

Algorithm

egg-herbie

Counts

359 → 359

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	876	5569
1	3531	3611
2	5001	3216

prune156.0ms

Filtered

359 candidates to 75 candidates (20.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	355	4	359
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	356	5	361

Merged error: 0.0b

Counts

361 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
0.1b	(* 0.12900613773279798 (pow x 3))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
15×	`add-sqr-sqrt`
12×	`fma-def` `associate-r`
11×	`associate-l`
8×	`add-cube-cbrt`
7×	`add-exp-log`
6×	`distribute-lft-out` `add-log-exp`
4×	`pow1` `unpow-prod-down` `distribute-rgt-neg-in` `add-cbrt-cube` `unswap-sqr`
3×	`prod-exp` `*-commutative`
2×	`expm1-log1p-u` `unpow3` `sum-log` `log1p-expm1-u` `sqr-pow`
1×	`+-commutative` `neg-sub0` `distribute-lft-neg-in` `pow-to-exp` `associate-+r-` `distribute-rgt-out` `flip3-+` `unsub-neg` `pow-prod-down` `neg-log` `pow-exp` `cbrt-unprod` `flip-+`

Counts

2 → 65

Calls

2 calls:

29.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
7.0ms	(* 0.12900613773279798 (pow x 3))

series147.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
42.0ms	(* 0.12900613773279798 (pow x 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	223	264
1	1042	240
2	5001	236

prune111.0ms

Filtered

71 candidates to 47 candidates (66.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	70	6	76

Merged error: 0b

Counts

76 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
0.1b	(* (* (* 0.12900613773279798 x) x) x)
0.2b	(* (* 0.12900613773279798 x) x)

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

75×	`associate-l`
41×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
19×	`associate-r`
17×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`add-cube-cbrt`
15×	`unswap-sqr`
13×	`distribute-lft-out`
12×	`fma-def`
11×	`distribute-rgt-neg-in` `*-commutative`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`distribute-lft-neg-in` `distribute-rgt-out` `sum-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

3 → 124

Calls

3 calls:

52.0ms	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
13.0ms	(* (* (* 0.12900613773279798 x) x) x)
8.0ms	(* (* 0.12900613773279798 x) x)

series172.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) x)))
43.0ms	(* (* (* 0.12900613773279798 x) x) x)
26.0ms	(* (* 0.12900613773279798 x) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	347	561
1	1657	459
2	5002	440

prune322.0ms

Filtered

133 candidates to 83 candidates (62.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	134	5	139

Merged error: 0b

Counts

139 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) 1) (pow x 2))))
0.2b	(* (* (* 0.12900613773279798 x) 1) (pow x 2))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt`
64×	`associate-l`
52×	`unswap-sqr`
44×	`*-un-lft-identity`
39×	`add-exp-log`
33×	`prod-exp`
18×	`associate-r`
13×	`distribute-lft-out`
12×	`add-cube-cbrt` `fma-def`
11×	`pow1` `distribute-rgt-neg-in` `add-cbrt-cube`
8×	`unpow-prod-down` `*-commutative`
7×	`unpow2`
6×	`1-exp` `pow-prod-down` `cbrt-unprod` `add-log-exp` `sqr-pow`
5×	`pow-to-exp` `pow-exp`
2×	`expm1-log1p-u` `sum-log` `log1p-expm1-u`
1×	`+-commutative` `neg-sub0` `distribute-lft-neg-in` `associate-+r-` `distribute-rgt-out` `flip3-+` `unsub-neg` `neg-log` `flip-+`

Counts

2 → 126

Calls

2 calls:

79.0ms	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) 1) (pow x 2))))
20.0ms	(* (* (* 0.12900613773279798 x) 1) (pow x 2))

series140.0ms

Counts

2 → 6

Calls

2 calls:

101.0ms	(+ (* x 0.954929658551372) (- (* (* (* 0.12900613773279798 x) 1) (pow x 2))))
39.0ms	(* (* (* 0.12900613773279798 x) 1) (pow x 2))

simplify72.0ms

Algorithm

egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	490	707
1	2251	563
2	5002	545

prune146.0ms

Filtered

132 candidates to 68 candidates (51.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	132	5	137

Merged error: 0b

Counts

137 → 5

regimes21.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	18	5
2	18	5

end0.0ms

sample416.0ms

Algorithm

intervals

Results

281.0ms

11960×

body

valid