Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

339×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	15	4
1	26	4
2	49	3
3	97	3
4	155	3
5	202	3
6	241	3
7	304	3
8	436	3
9	592	3
10	990	3
11	1125	3
12	1260	3
13	1260	3

prune7.0ms

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: 0.1b

Counts

2 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

2.9b	(fma (/ y a) (- z t) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

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

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	271	53
3	1307	53
4	5001	53

prune34.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	10	5	15

Merged error: 0.1b

Counts

15 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

8.0b	(* (/ y a) (- z t))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
21×	`add-cube-cbrt`
18×	`prod-diff`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
6×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow1`
2×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 62

Calls

1 calls:

13.0ms

(* (/ y a) (- z t))

series50.0ms

Counts

1 → 3

Calls

1 calls:

50.0ms

(* (/ y a) (- z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	380	523
1	1488	369
2	5001	357

prune114.0ms

Filtered

65 candidates to 38 candidates (58.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	60	5	65
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	63	7	70

Merged error: 0b

Counts

70 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- z t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
36×	`prod-diff`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 142

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
21.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- z t)))

series577.0ms

Counts

4 → 12

Calls

4 calls:

178.0ms	(cbrt y)
173.0ms	(cbrt y)
171.0ms	(cbrt y)
55.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- z t)))

simplify99.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	936	2716
1	4699	1450
2	5001	1418

prune291.0ms

Filtered

154 candidates to 84 candidates (54.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	154	7	161

Merged error: 0b

Counts

161 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.9b	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
6.4b	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 172

Calls

4 calls:

3.0ms	(cbrt (- z t))
3.0ms	(cbrt (- z t))
20.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
15.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series439.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(cbrt (- z t))
147.0ms	(cbrt (- z t))
50.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
92.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify79.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	830	2341
1	2677	2121
2	5001	2060

prune404.0ms

Filtered

184 candidates to 114 candidates (62.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	184	7	191

Merged error: 0b

Counts

191 → 7

regimes259.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	14
1	18	14

end0.0ms

sample611.0ms

Algorithm

intervals

Results

306.0ms

10643×

body

valid