Details

sample17.0ms

Algorithm

intervals

Results

6.0ms

314×

body

valid

simplify182.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	17	3
2	31	3
3	46	3
4	53	3
5	62	3
6	80	3
7	118	3
8	235	3
9	467	3
10	832	3
11	1212	3
12	1786	3
13	3407	3
14	5002	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (- z x)))
0.0b	(* y (- z x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 41

Calls

2 calls:

7.0ms	(+ x (* y (- z x)))
27.0ms	(* y (- z x))

series71.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (* y (- z x)))
40.0ms	(* y (- z x))

simplify85.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3520	165
3	5001	165

prune78.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* z y))
0.0b	(+ (+ x (* z y)) (* (- x) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

5.0ms	(+ x (* z y))
24.0ms	(+ (+ x (* z y)) (* (- x) y))

series49.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ x (* z y))
26.0ms	(+ (+ x (* z y)) (* (- x) y))

simplify87.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	167	172
1	672	154
2	3123	150
3	5002	144

prune69.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z x)) (cbrt (- z x)))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

41.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
4.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))

series517.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
132.0ms	(cbrt (- z x))
134.0ms	(cbrt (- z x))
137.0ms	(cbrt (- z x))

simplify152.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	261	760
1	914	723
2	4493	670
3	5001	660

prune293.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (* (cbrt (- z x)) (cbrt (- z x))))
0.6b	(cbrt (cbrt (- z x)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
24×	`cbrt-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`flip3--` `flip--`
8×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-r/` `associate-l/`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (- z x))
4.0ms	(cbrt (- z x))
14.0ms	(cbrt (* (cbrt (- z x)) (cbrt (- z x))))
5.0ms	(cbrt (cbrt (- z x)))

series536.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (- z x))
134.0ms	(cbrt (- z x))
120.0ms	(cbrt (* (cbrt (- z x)) (cbrt (- z x))))
143.0ms	(cbrt (cbrt (- z x)))

simplify66.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	305	595
1	735	565
2	2366	554
3	5002	540

prune318.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	5
1	18	5
2	19	5
3	19	5

end0.0ms

sample463.0ms

Algorithm

intervals

Results

184.0ms

10108×

body

valid