Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

345×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.9b	(* (- y x) (/ z t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
2×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 49

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
18.0ms	(* (- y x) (/ z t))

series77.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* (- y x) (/ z t)))
43.0ms	(* (- y x) (/ z t))

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune121.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
4.9b	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
58.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series626.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt z)
179.0ms	(cbrt z)
177.0ms	(cbrt z)
80.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify75.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (67.0ms)

Iter	Nodes	Cost
0	430	694
1	2345	534
2	5003	495

prune264.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (* (cbrt z) (cbrt z)))
0.7b	(cbrt (cbrt z))
4.9b	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) t))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
28×	`add-cbrt-cube`
21×	`prod-exp` `cbrt-unprod`
13×	`pow1` `cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`times-frac` `pow1/3`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 76

Calls

4 calls:

0.0ms	(cbrt z)
3.0ms	(cbrt (* (cbrt z) (cbrt z)))
1.0ms	(cbrt (cbrt z))
59.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) t))

series806.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt z)
281.0ms	(cbrt (* (cbrt z) (cbrt z)))
257.0ms	(cbrt (cbrt z))
82.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (* (cbrt (* (cbrt z) (cbrt z))) (cbrt (cbrt z))) t))

simplify80.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	453	1016
1	2285	747
2	5001	683

prune266.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (/ (* z y) t) (/ (* x z) t)))
0.0b	(- (/ (* z y) t) (/ (* x z) t))
5.7b	(/ (* z y) t)
6.2b	(/ (* x z) t)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv`
2×	`sub-neg` `associate-+r+` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

29.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
10.0ms	(- (/ (* z y) t) (/ (* x z) t))
3.0ms	(/ (* z y) t)
3.0ms	(/ (* x z) t)

series127.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
50.0ms	(- (/ (* z y) t) (/ (* x z) t))
19.0ms	(/ (* z y) t)
20.0ms	(/ (* x z) t)

simplify47.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	330	467
1	1537	432
2	5002	431

prune187.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes202.0ms

Accuracy

-27.7% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample788.0ms

Algorithm

intervals

Results

514.0ms

10599×

body

valid