Details

sample32.0ms

Algorithm

intervals

Results

17.0ms

339×

body

valid

simplify47.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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:

0.0ms

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

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma (/ y a) (- z t) 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	271	53
3	1307	53
4	5001	53

prune41.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:

17.0ms

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

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 2 (36.0ms)

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

prune126.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize17.0ms

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)))

rewrite64.0ms

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:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
53.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- z t)))

series582.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt y)
182.0ms	(cbrt y)
168.0ms	(cbrt y)
52.0ms	(* (/ (* (cbrt y) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- z t)))

simplify104.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (87.0ms)

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

prune368.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-exp-log`
93×	`prod-exp` `cbrt-unprod`
73×	`add-cbrt-cube`
44×	`distribute-rgt-in` `distribute-lft-in`
36×	`prod-diff`
33×	`cbrt-undiv` `div-exp`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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 → 166

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
267.0ms	(* (/ (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- z t)))

series590.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt y)
179.0ms	(cbrt y)
172.0ms	(cbrt y)
57.0ms	(* (/ (* (* (* (cbrt (cbrt y)) (cbrt (cbrt y))) (cbrt (cbrt y))) (cbrt y)) (* (cbrt a) (cbrt a))) (* (/ (cbrt y) (cbrt a)) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1150	4653
1	5002	3005

prune468.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes271.0ms

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

sample901.0ms

Algorithm

intervals

Results

560.0ms

10643×

body

valid