Details

sample37.0ms

Algorithm

intervals

Results

19.0ms

506×

body

valid

simplify112.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (95.0ms)

Iter	Nodes	Cost
0	21	6
1	52	6
2	171	6
3	401	6
4	829	6
5	1090	6
6	1610	6
7	1956	6
8	2252	6
9	2367	5
10	2367	5

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 4.8b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- t (* z z))
4.5b	(* (* y 4.0) (- t (* z z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `prod-diff`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`associate-r` `add-log-exp`
3×	`sub-neg` `fma-neg` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `difference-of-squares`
1×	`diff-log` `associate-l` `*-commutative`

Counts

2 → 54

Calls

2 calls:

3.0ms	(- t (* z z))
7.0ms	(* (* y 4.0) (- t (* z z)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(- t (* z z))
83.0ms	(* (* y 4.0) (- t (* z z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	257	349
1	1187	299
2	5001	292

prune134.0ms

Filtered

60 candidates to 39 candidates (65.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	56	4	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	4	61

Merged error: 1.7b

Counts

61 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
9.1b	(* (* y 4.0) (- (* z z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

5.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
6.0ms	(* (* y 4.0) (- (* z z)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(+ (* (* y 4.0) t) (* (* y 4.0) (- (* z z))))
33.0ms	(* (* y 4.0) (- (* z z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	247	292
1	1378	241
2	5001	238

prune113.0ms

Filtered

47 candidates to 33 candidates (70.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	3	0	3
Picked	0	1	1
Done	0	0	0
Total	48	3	51

Merged error: 0.0b

Counts

51 → 3

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
0.2b	(* (* (* y 4.0) (- z)) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `distribute-rgt-neg-out`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
8.0ms	(* (* (* y 4.0) (- z)) z)

series135.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(+ (* (* y 4.0) t) (* (* (* y 4.0) (- z)) z))
39.0ms	(* (* (* y 4.0) (- z)) z)

simplify67.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	272	306
1	1429	262
2	5001	243

prune100.0ms

Filtered

46 candidates to 30 candidates (65.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Merged error: 0.0b

Counts

49 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series785.0ms

Counts

4 → 12

Calls

4 calls:

214.0ms	(* (cbrt z) (cbrt z))
187.0ms	(cbrt z)
189.0ms	(cbrt z)
194.0ms	(cbrt z)

simplify104.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	119	308
1	477	281
2	2972	258
3	5001	255

prune270.0ms

Filtered

93 candidates to 72 candidates (77.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

regimes166.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	27	8
2	36	8
3	36	8

end0.0ms

sample1.0s

Algorithm

intervals

Results

619.0ms

15820×

body

valid