Details

sample38.0ms

Algorithm

intervals

Results

20.0ms

519×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 9 (97.0ms)

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

prune8.0ms

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: 7.8b

Counts

2 → 1

localize13.0ms

Local error

Found 1 expressions with local error:

7.3b	(* (* y 4.0) (- t (* z z)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

8.0ms

(* (* y 4.0) (- t (* z z)))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(* (* y 4.0) (- t (* z z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	230	249
1	1099	212
2	5001	207

prune92.0ms

Filtered

36 candidates to 20 candidates (55.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	29	7	36
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	7	37

Merged error: 3.7b

Counts

37 → 7

localize14.0ms

Local error

Found 2 expressions with local error:

7.3b	(* (* y 4.0) (- t (* z z)))
41.5b	(fma (- z) z (* z z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 43

Calls

2 calls:

8.0ms	(* (* y 4.0) (- t (* z z)))
1.0ms	(fma (- z) z (* z z))

series151.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (* y 4.0) (- t (* z z)))
60.0ms	(fma (- z) z (* z z))

simplify50.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	241	299
1	1123	255
2	5002	250

prune136.0ms

Filtered

49 candidates to 31 candidates (63.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 3.7b

Counts

56 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

2.2b	(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
8.0b	(cbrt (- t (* z z)))
8.0b	(cbrt (- t (* z z)))
8.0b	(cbrt (- t (* z z)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`pow1` `add-exp-log`
12×	`cbrt-prod` `add-cbrt-cube`
10×	`add-sqr-sqrt` `associate-*r/`
9×	`flip3--` `flip--`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `difference-of-squares`
2×	`associate-*l/`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 80

Calls

4 calls:

14.0ms	(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
3.0ms	(cbrt (- t (* z z)))
3.0ms	(cbrt (- t (* z z)))
3.0ms	(cbrt (- t (* z z)))

series1.3s

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (* y 4.0) (* (cbrt (- t (* z z))) (cbrt (- t (* z z)))))
330.0ms	(cbrt (- t (* z z)))
354.0ms	(cbrt (- t (* z z)))
323.0ms	(cbrt (- t (* z z)))

simplify52.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	386	796
1	1295	707
2	5001	692

prune324.0ms

Filtered

92 candidates to 75 candidates (81.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	92	7	99

Merged error: 3.7b

Counts

99 → 7

localize6.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	1	1
Total	7	7

Merged error: 3.7b

Counts

7 → 7

regimes306.0ms

Accuracy

82.1% (0.6b remaining)

Error of 3.2b against oracle of 2.6b and baseline of 6.0b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample1.0s

Algorithm

intervals

Results

606.0ms

15803×

body

valid