Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

277×

body

valid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	18	5
1	33	5
2	61	4
3	113	4
4	173	4
5	232	4
6	280	4
7	353	4
8	485	4
9	644	4
10	1095	4
11	1319	4
12	1491	4
13	1513	4
14	1513	4

prune10.0ms

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

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- z a))
3.7b	(fma (/ y (- z a)) (- z t) x)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series116.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(/ y (- z a))
83.0ms	(fma (/ y (- z a)) (- z t) x)

simplify120.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (115.0ms)

Iter	Nodes	Cost
0	170	266
1	464	247
2	1318	247
3	4468	246
4	5001	244

prune147.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	5	57

Merged error: 0.0b

Counts

57 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* y (/ 1 (- z a)))
3.7b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `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 → 99

Calls

3 calls:

6.0ms	(/ 1 (- z a))
11.0ms	(* y (/ 1 (- z a)))
1.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

series155.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(/ 1 (- z a))
34.0ms	(* y (/ 1 (- z a)))
84.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify81.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (72.0ms)

Iter	Nodes	Cost
0	288	498
1	1139	430
2	4201	384
3	5002	382

prune229.0ms

Filtered

108 candidates to 66 candidates (61.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (* y (/ 1 (- z a))) (- z t) x))
3.7b	(fma (* y (/ 1 (- z a))) (- z t) x)
3.7b	(fma (* y (/ 1 (- z a))) (- z t) x)
3.7b	(fma (* y (/ 1 (- z a))) (- z t) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `fma-udef`
1×	`pow1/3`

Counts

4 → 43

Calls

4 calls:

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

series517.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt (fma (* y (/ 1 (- z a))) (- z t) x))
87.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)
86.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)
86.0ms	(fma (* y (/ 1 (- z a))) (- z t) x)

simplify114.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (108.0ms)

Iter	Nodes	Cost
0	86	390
1	179	341
2	662	339
3	3026	330
4	5001	327

prune219.0ms

Filtered

55 candidates to 50 candidates (90.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	55	5	60

Merged error: 0.0b

Counts

60 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* y (- z t))
9.5b	(/ (* y (- z t)) (- z a))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
18×	`add-cube-cbrt` `prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `add-cbrt-cube`
5×	`times-frac` `associate-r` `associate-/r*`
4×	`pow1` `associate-*r/`
3×	`flip3--` `associate-l` `flip--` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `expm1-log1p-u` `sub-neg` `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 → 77

Calls

2 calls:

12.0ms	(* y (- z t))
11.0ms	(/ (* y (- z t)) (- z a))

series113.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(* y (- z t))
69.0ms	(/ (* y (- z t)) (- z a))

simplify58.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	350	543
1	1606	380
2	5001	380

prune144.0ms

Filtered

83 candidates to 46 candidates (55.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	0	2
Picked	0	1	1
Done	1	1	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

regimes165.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample544.0ms

Algorithm

intervals

Results

284.0ms	8696×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

sample21.0ms

simplify88.0ms

prune10.0ms

localize14.0ms

rewrite8.0ms

series116.0ms

simplify120.0ms

prune147.0ms

localize10.0ms

rewrite22.0ms

series155.0ms

simplify81.0ms

prune229.0ms

localize15.0ms

rewrite5.0ms

series517.0ms

simplify114.0ms

prune219.0ms

localize9.0ms

rewrite26.0ms

series113.0ms

simplify58.0ms

prune144.0ms

regimes165.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample544.0ms

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