Details

sample25.0ms

Algorithm

intervals

Results

8.0ms

349×

body

valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (24.0ms)

Iter	Nodes	Cost
0	16	4
1	32	4
2	71	4
3	160	4
4	274	4
5	462	4
6	727	4
7	891	3
8	1083	3
9	1216	3
10	1269	3
11	1269	3

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

3.3b	(fma (/ y a) (- t z) 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:

0.0ms

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

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	94	62
2	272	53
3	1308	53
4	5001	53

prune35.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y a) (- t z)) x)
5.9b	(* (/ y a) (- t z))

rewrite52.0ms

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:

18.0ms	(+ (* (/ y a) (- t z)) x)
30.0ms	(* (/ y a) (- t z))

series91.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* (/ y a) (- t z)) x)
50.0ms	(* (/ y a) (- t z))

simplify52.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	476	779
1	1775	547
2	5001	533

prune242.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
12.4b	(cbrt (/ y a))
12.4b	(cbrt (/ y a))
12.4b	(cbrt (/ y a))

rewrite92.0ms

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:

77.0ms	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
2.0ms	(cbrt (/ y a))
2.0ms	(cbrt (/ y a))
2.0ms	(cbrt (/ y a))

series222.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (* (cbrt (/ y a)) (cbrt (/ y a))) (* (cbrt (/ y a)) (- t z)))
59.0ms	(cbrt (/ y a))
60.0ms	(cbrt (/ y a))
57.0ms	(cbrt (/ y a))

simplify70.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (47.0ms)

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

prune374.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1 a))
0.8b	(* (* (cbrt (/ y a)) (* (cbrt y) (cbrt (/ 1 a)))) (* (cbrt (/ y a)) (- t z)))
12.4b	(cbrt (/ y a))
12.4b	(cbrt (/ y a))

rewrite146.0ms

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`
31×	`associate-*r/`
29×	`frac-times`
27×	`times-frac`
25×	`pow1` `add-exp-log`
15×	`pow-prod-down` `prod-exp` `cbrt-unprod`
14×	`add-cbrt-cube`
13×	`associate-*l/`
8×	`flip3--` `flip--`
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 → 169

Calls

4 calls:

2.0ms	(cbrt (/ 1 a))
131.0ms	(* (* (cbrt (/ y a)) (* (cbrt y) (cbrt (/ 1 a)))) (* (cbrt (/ y a)) (- t z)))
2.0ms	(cbrt (/ y a))
2.0ms	(cbrt (/ y a))

series402.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt (/ 1 a))
113.0ms	(* (* (cbrt (/ y a)) (* (cbrt y) (cbrt (/ 1 a)))) (* (cbrt (/ y a)) (- t z)))
55.0ms	(cbrt (/ y a))
63.0ms	(cbrt (/ y a))

simplify103.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	934	2695
1	3446	2303
2	5001	2236

prune446.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes233.0ms

Accuracy

64.7% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.6b

bsearch73.0ms

Steps

Iters	Range		Point
10	6.499985698881272e-39	2.210309662087195e-24	5.362866936719223e-26
7	-2.880585985774822e-78	-5.8516907299059634e-80	-1.0322513657983005e-78

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

end0.0ms

sample885.0ms

Algorithm

intervals

Results

459.0ms

10782×

body

valid