Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

280×

body

valid

simplify64.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune6.0ms

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: 1.3b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.3b	(fma y (/ (- z t) (- a t)) x)

rewrite12.0ms

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

series134.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- z t) (- a t))
82.0ms	(fma y (/ (- z t) (- a t)) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	707	410
2	2404	410
3	5003	410

prune226.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	8	71

Merged error: 0.5b

Counts

71 → 8

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
0.3b	(/ 1 (/ (- a t) (- z t)))
1.3b	(fma y (/ 1 (/ (- a t) (- z t))) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

10.0ms	(/ (- a t) (- z t))
14.0ms	(/ 1 (/ (- a t) (- z t)))
1.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

series453.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (- a t) (- z t))
162.0ms	(/ 1 (/ (- a t) (- z t)))
226.0ms	(fma y (/ 1 (/ (- a t) (- z t))) x)

simplify88.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	620	1891
1	2762	1708
2	5003	1537

prune388.0ms

Filtered

223 candidates to 106 candidates (47.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	221	2	223
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	223	8	231

Merged error: 0.5b

Counts

231 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- a t) (- z t))
2.0b	(/ y (/ (- a t) (- z t)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

9.0ms	(/ (- a t) (- z t))
17.0ms	(/ y (/ (- a t) (- z t)))

series219.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- a t) (- z t))
168.0ms	(/ y (/ (- a t) (- z t)))

simplify89.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	642	1801
1	2886	1748
2	5001	1745

prune471.0ms

Filtered

204 candidates to 138 candidates (67.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	5	1	6
Picked	0	1	1
Done	1	0	1
Total	206	6	212

Merged error: 0b

Counts

212 → 6

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
24×	`cbrt-div`
19×	`add-cbrt-cube`
18×	`cbrt-undiv` `div-exp`
17×	`associate-/r/`
15×	`times-frac`
13×	`prod-exp` `associate-/r*` `cbrt-unprod`
12×	`flip3--` `flip--`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times`
4×	`pow1` `expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
24.0ms	(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))

series1.1s

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt y)
206.0ms	(cbrt y)
409.0ms	(cbrt y)
334.0ms	(/ (* (cbrt y) (cbrt y)) (/ (* (cbrt (- a t)) (cbrt (- a t))) (* (cbrt (- z t)) (cbrt (- z t)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	588	1375
1	2571	1103
2	5001	1013

prune375.0ms

Filtered

111 candidates to 80 candidates (72.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	111	6	117

Merged error: 0b

Counts

117 → 6

regimes151.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	24
1	21	24

end0.0ms

sample588.0ms

Algorithm

intervals

Results

329.0ms	8719×	body	80	valid
0.0ms	1×	body	2560	valid