Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

337×

body

valid

simplify106.0ms

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: 1.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.4b	(* (- y x) (/ z t))

rewrite17.0ms

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)))
13.0ms	(* (- y x) (/ z t))

series78.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ 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

prune124.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
4.3b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
30×	`times-frac`
25×	`add-exp-log`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt` `associate-r`
20×	`cbrt-prod`
18×	`add-cbrt-cube`
9×	`associate-l`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp`
6×	`pow1` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
17.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series629.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt t)
183.0ms	(cbrt t)
186.0ms	(cbrt t)
77.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	455	821
1	2233	666
2	5002	631

prune319.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt z)
0.5b	(cbrt z)
0.6b	(* (cbrt z) (cbrt z))
5.6b	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`cbrt-prod`
28×	`associate-r`
27×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
20×	`pow1`
18×	`times-frac` `add-cbrt-cube`
13×	`prod-exp` `cbrt-unprod`
8×	`pow1/3` `pow-prod-down`
7×	`associate-l`
6×	`swap-sqr`
5×	`associate-*r/`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp`
2×	`frac-times` `flip3--` `associate-l/` `pow-sqr` `-commutative` `pow-prod-up` `flip--`
1×	`pow2` `pow-plus` `div-inv`

Counts

4 → 113

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
6.0ms	(* (cbrt z) (cbrt z))
15.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series658.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt z)
182.0ms	(cbrt z)
208.0ms	(* (cbrt z) (cbrt z))
83.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify94.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	494	826
1	2947	638
2	5002	593

prune322.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* z (- y x)) (/ 1 t)))
0.0b	(* z (- y x))
6.5b	(* (* z (- y x)) (/ 1 t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

3.0ms	(+ x (* (* z (- y x)) (/ 1 t)))
6.0ms	(* z (- y x))
10.0ms	(* (* z (- y x)) (/ 1 t))

series122.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ x (* (* z (- y x)) (/ 1 t)))
36.0ms	(* z (- y x))
50.0ms	(* (* z (- y x)) (/ 1 t))

simplify63.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	418	475
1	2034	406
2	5002	382

prune165.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes188.0ms

Accuracy

0% (2.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample543.0ms

Algorithm

intervals

Results

280.0ms

10602×

body

valid