Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

350×

body

valid

simplify46.0ms

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

prune6.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

2.5b	(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

prune38.0ms

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: 0.0b

Counts

15 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y a) (- z t)) x)
6.4b	(* (/ y a) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

9.0ms	(+ (* (/ y a) (- z t)) x)
9.0ms	(* (/ y a) (- z t))

series99.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* (/ y a) (- z t)) x)
55.0ms	(* (/ y a) (- z t))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	477	779
1	1776	547
2	5001	533

prune203.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	102	7	109

Merged error: 0b

Counts

109 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
12.2b	(cbrt (/ y a))
12.2b	(cbrt (/ y a))
12.2b	(cbrt (/ y a))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`cbrt-prod` `cbrt-div`
36×	`prod-diff`
29×	`frac-times`
27×	`times-frac`
19×	`associate-*r/`
16×	`pow1` `add-exp-log`
13×	`associate-*l/`
10×	`add-cbrt-cube`
8×	`flip3--` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
4×	`expm1-log1p-u` `sub-neg` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 163

Calls

4 calls:

18.0ms	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
2.0ms	(cbrt (/ y a))
2.0ms	(cbrt (/ y a))
2.0ms	(cbrt (/ y a))

series240.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- z t)))
58.0ms	(cbrt (/ y a))
63.0ms	(cbrt (/ y a))
64.0ms	(cbrt (/ y a))

simplify65.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	776	2311
1	2230	1663
2	5002	1430

prune326.0ms

Filtered

175 candidates to 97 candidates (55.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	175	7	182

Merged error: 0b

Counts

182 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
1.3b	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.3b	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite54.0ms

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))
21.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
16.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

series453.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (- z t))
152.0ms	(cbrt (- z t))
56.0ms	(* (* (/ y a) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
99.0ms	(* (/ y a) (* (cbrt (- z t)) (cbrt (- z t))))

simplify87.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (60.0ms)

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

prune598.0ms

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

regimes316.0ms

Accuracy

87.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	12
1	25	12

end0.0ms

sample697.0ms

Algorithm

intervals

Results

362.0ms

10661×

body

valid