Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

313×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	24	3
2	52	3
3	88	3
4	102	3
5	102	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 3.6b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

3.4b	(* x (- 1.0 (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

5.0ms

(* x (- 1.0 (* y z)))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(* x (- 1.0 (* y z)))

simplify68.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	151	195
1	598	171
2	2506	166
3	5003	160

prune63.0ms

Filtered

35 candidates to 20 candidates (57.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	28	7	35
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	29	7	36

Merged error: 3.5b

Counts

36 → 7

localize11.0ms

Local error

Found 2 expressions with local error:

3.4b	(* x (- 1.0 (* y z)))
53.1b	(fma (- z) y (* z y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

5.0ms	(* x (- 1.0 (* y z)))
1.0ms	(fma (- z) y (* z y))

series76.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(* x (- 1.0 (* y z)))
25.0ms	(fma (- z) y (* z y))

simplify71.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	161	245
1	636	214
2	2643	209
3	5001	198

prune110.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Merged error: 3.5b

Counts

55 → 7

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

10.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series789.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* x (* (cbrt (- 1.0 (* y z))) (cbrt (- 1.0 (* y z)))))
232.0ms	(cbrt (- 1.0 (* y z)))
234.0ms	(cbrt (- 1.0 (* y z)))
224.0ms	(cbrt (- 1.0 (* y z)))

simplify109.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	352	870
1	1111	811
2	4676	795
3	5001	783

prune275.0ms

Filtered

86 candidates to 74 candidates (86.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	3	86
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 3.4b

Counts

93 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))
3.5b	(cbrt (- 1.0 (* y z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* y z)))
3.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))
2.0ms	(cbrt (- 1.0 (* y z)))

series902.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt (- 1.0 (* y z)))
229.0ms	(cbrt (- 1.0 (* y z)))
228.0ms	(cbrt (- 1.0 (* y z)))
221.0ms	(cbrt (- 1.0 (* y z)))

simplify83.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 3 (76.0ms)

Iter	Nodes	Cost
0	204	728
1	709	700
2	3288	692
3	5002	676

prune307.0ms

Filtered

72 candidates to 68 candidates (94.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	72	9	81

Merged error: 3.4b

Counts

81 → 9

regimes218.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.6b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample384.0ms

Algorithm

intervals

Results

195.0ms

9532×

body

valid