Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

275×

body

valid

simplify79.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	17	5
1	32	5
2	60	4
3	112	4
4	172	4
5	231	4
6	279	4
7	352	4
8	485	4
9	648	4
10	1074	4
11	1358	4
12	1399	4
13	1399	4

prune11.0ms

Filtered

1 candidates to 1 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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
3.1b	(fma (/ y (- a t)) (- 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:

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

series228.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(/ y (- a t))
196.0ms	(fma (/ y (- a t)) (- z t) x)

simplify144.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	164	265
1	441	246
2	1274	244
3	4357	243
4	5001	243

prune117.0ms

Filtered

55 candidates to 43 candidates (21.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	48	7	55
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	48	9	57

Merged error: 0.0b

Counts

57 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
0.5b	(cbrt (- a t))
3.1b	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (- z t) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

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

series714.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt (- a t))
169.0ms	(cbrt (- a t))
169.0ms	(cbrt (- a t))
206.0ms	(fma (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))) (- z t) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	188	514
1	449	473
2	1685	455
3	5001	431

prune228.0ms

Filtered

73 candidates to 64 candidates (12.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
3.1b	(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- z t) x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`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×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

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

series823.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(cbrt y)
199.0ms	(cbrt y)
192.0ms	(cbrt y)
239.0ms	(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- z t) x)

simplify219.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (39.0ms)

Iter	Nodes	Cost
0	85	265
1	206	235
2	734	223
3	4708	221
4	5001	221

prune161.0ms

Filtered

61 candidates to 52 candidates (14.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	61	9	70

Merged error: 0.0b

Counts

70 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- z t) y)
10.8b	(/ (* (- z t) y) (- a t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
81×	`*-un-lft-identity`
70×	`times-frac`
37×	`add-cube-cbrt`
35×	`associate-l`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-r`
14×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
7×	`*-commutative` `unswap-sqr`
5×	`associate-/r*`
4×	`pow1` `associate-*l/`
3×	`flip3--` `flip--`
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` `div-inv`

Counts

2 → 133

Calls

2 calls:

6.0ms	(* (- z t) y)
13.0ms	(/ (* (- z t) y) (- a t))

series113.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(* (- z t) y)
75.0ms	(/ (* (- z t) y) (- a t))

simplify80.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	482	994
1	2147	957
2	5002	957

prune220.0ms

Filtered

139 candidates to 95 candidates (31.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	5	0	5
Picked	1	0	1
Done	0	3	3
Total	142	6	148

Merged error: 0b

Counts

148 → 6

regimes152.0ms

Accuracy

0% (1.2b 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	12	5
1	12	5

end0.0ms

sample529.0ms

Algorithm

intervals

Results

274.0ms	8696×	body	80	valid
0.0ms	1×	body	160	valid