Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

289×

body

valid

simplify72.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune8.0ms

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: 0.0b

Counts

2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.7b	(fma (/ (- y z) (- a z)) t x)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

9.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series130.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(/ (- y z) (- a z))
81.0ms	(fma (/ (- y z) (- a z)) t x)

simplify62.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune166.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (- a z))
0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.7b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

694×	`*-un-lft-identity`
684×	`add-sqr-sqrt`
678×	`times-frac`
441×	`prod-diff`
402×	`add-cube-cbrt`
145×	`distribute-lft-out--`
139×	`difference-of-squares`
92×	`associate-/r/`
47×	`flip3--` `flip--`
46×	`div-inv`
21×	`fma-neg`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `fma-udef` `sub-div`

Counts

3 → 542

Calls

3 calls:

6.0ms	(/ z (- a z))
41.0ms	(- (/ y (- a z)) (/ z (- a z)))
1.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series287.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ z (- a z))
68.0ms	(- (/ y (- a z)) (/ z (- a z)))
171.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify193.0ms

Algorithm

egg-herbie

Counts

551 → 551

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	1199	15500
1	3120	11542
2	5001	10301

prune687.0ms

Filtered

551 candidates to 178 candidates (32.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	551	0	551
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	551	4	555

Merged error: 0.0b

Counts

555 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a z))
0.3b	(* (- y z) (/ 1 (- a z)))
0.7b	(fma (* (- y z) (/ 1 (- a z))) t x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
40×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-l` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 105

Calls

3 calls:

6.0ms	(/ 1 (- a z))
14.0ms	(* (- y z) (/ 1 (- a z)))
1.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

series167.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- a z))
48.0ms	(* (- y z) (/ 1 (- a z)))
80.0ms	(fma (* (- y z) (/ 1 (- a z))) t x)

simplify47.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	333	585
1	1448	510
2	5002	468

prune215.0ms

Filtered

114 candidates to 72 candidates (63.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	114	4	118

Merged error: 0.0b

Counts

118 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- y z) t)
11.2b	(/ (* (- y z) t) (- a z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-cube-cbrt`
5×	`times-frac` `associate-l` `associate-/r*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `associate-r` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

7.0ms	(* (- y z) t)
9.0ms	(/ (* (- y z) t) (- a z))

series98.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(* (- y z) t)
68.0ms	(/ (* (- y z) t) (- a z))

simplify43.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	265	278
1	1212	241
2	5001	241

prune128.0ms

Filtered

61 candidates to 46 candidates (75.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	62	3	65

Merged error: 0b

Counts

65 → 3

regimes100.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	6

end0.0ms

sample524.0ms

Algorithm

intervals

Results

272.0ms	8711×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid