Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

273×

body

valid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune5.0ms

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: 2.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.9b	(fma y (/ (- z t) (- z a)) x)

rewrite11.0ms

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:

8.0ms	(/ (- z t) (- z a))
1.0ms	(fma y (/ (- z t) (- z a)) x)

series105.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ (- z t) (- z a))
65.0ms	(fma y (/ (- z t) (- z a)) x)

simplify54.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	260	433
1	705	410
2	2411	410
3	5001	410

prune150.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	63	7	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	8	71

Merged error: 1.9b

Counts

71 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (- z t) (/ 1 (- z a)))
1.9b	(fma y (* (- z t) (/ 1 (- z a))) x)

rewrite25.0ms

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:

5.0ms	(/ 1 (- z a))
15.0ms	(* (- z t) (/ 1 (- z a)))
1.0ms	(fma y (* (- z t) (/ 1 (- z a))) x)

series136.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ 1 (- z a))
42.0ms	(* (- z t) (/ 1 (- z a)))
62.0ms	(fma y (* (- z t) (/ 1 (- z a))) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	337	585
1	1465	510
2	5001	468

prune184.0ms

Filtered

114 candidates to 69 candidates (60.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	114	8	122

Merged error: 1.9b

Counts

122 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.5b	(cbrt (- z a))
0.5b	(* (cbrt (- z a)) (cbrt (- z a)))
1.9b	(fma y (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a)))) x)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

38×	`cbrt-prod`
34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
16×	`cbrt-div`
14×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
8×	`flip3--` `pow1/3` `associate-r` `associate-l` `flip--` `distribute-lft-out--`
6×	`add-exp-log` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 102

Calls

4 calls:

3.0ms	(cbrt (- z a))
3.0ms	(cbrt (- z a))
10.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
1.0ms	(fma y (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a)))) x)

series480.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(cbrt (- z a))
136.0ms	(cbrt (- z a))
132.0ms	(* (cbrt (- z a)) (cbrt (- z a)))
74.0ms	(fma y (* (/ 1 (* (cbrt (- z a)) (cbrt (- z a)))) (/ (- z t) (cbrt (- z a)))) x)

simplify46.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	317	853
1	1143	795
2	5002	746

prune303.0ms

Filtered

114 candidates to 82 candidates (71.9%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	113	9	122

Merged error: 1.0b

Counts

122 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma y (/ (- z t) (- z a)) x))
1.9b	(fma y (/ (- z t) (- z a)) x)
1.9b	(fma y (/ (- z t) (- z a)) x)
1.9b	(fma y (/ (- z t) (- z a)) x)

rewrite4.0ms

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

series416.0ms

Counts

4 → 12

Calls

4 calls:

216.0ms	(cbrt (fma y (/ (- z t) (- z a)) x))
66.0ms	(fma y (/ (- z t) (- z a)) x)
67.0ms	(fma y (/ (- z t) (- z a)) x)
67.0ms	(fma y (/ (- z t) (- z a)) x)

simplify51.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 4 (46.0ms)

Iter	Nodes	Cost
0	85	333
1	160	295
2	409	293
3	1522	290
4	5001	287

prune157.0ms

Filtered

55 candidates to 50 candidates (90.9%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	54	1	55
Fresh	1	4	5
Picked	0	1	1
Done	0	3	3
Total	55	9	64

Merged error: 1.0b

Counts

64 → 9

regimes219.0ms

Accuracy

0% (0.6b remaining)

Error of 1.2b against oracle of 0.7b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4

end0.0ms

sample574.0ms

Algorithm

intervals

Results

312.0ms	8716×	body	80	valid
0.0ms	2×	body	640	valid