Details

sample18.0ms

Algorithm

intervals

Results

6.0ms

333×

body

valid

simplify335.0ms

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))

rewrite32.0ms

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

series70.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(+ x (* y (- z x)))
43.0ms	(* y (- z x))

simplify87.0ms

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 (3 fresh and 1 done)

Merged error: 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))

rewrite57.0ms

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))

series513.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
130.0ms	(cbrt (- z x))
133.0ms	(cbrt (- z x))
136.0ms	(cbrt (- z x))

simplify150.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (142.0ms)

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

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
4.3b	(cbrt (* y (- z x)))
4.3b	(cbrt (* y (- z x)))
4.3b	(cbrt (* y (- z x)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

22.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
7.0ms	(cbrt (* y (- z x)))
7.0ms	(cbrt (* y (- z x)))
7.0ms	(cbrt (* y (- z x)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
143.0ms	(cbrt (* y (- z x)))
145.0ms	(cbrt (* y (- z x)))
146.0ms	(cbrt (* y (- z x)))

simplify108.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (101.0ms)

Iter	Nodes	Cost
0	254	606
1	837	553
2	3945	507
3	5001	499

prune237.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.3b	(+ (* x x) (* z x))
2.8b	(- (pow z 3) (pow x 3))
7.2b	(* y (- (pow z 3) (pow x 3)))
37.7b	(/ (* y (- (pow z 3) (pow x 3))) (+ (* z z) (+ (* x x) (* z x))))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`difference-of-squares`
28×	`*-un-lft-identity`
25×	`associate-r`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-*r/`
3×	`sub-neg` `flip3--` `times-frac` `associate-l` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `distribute-rgt-out` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 117

Calls

4 calls:

8.0ms	(+ (* x x) (* z x))
25.0ms	(- (pow z 3) (pow x 3))
76.0ms	(* y (- (pow z 3) (pow x 3)))
62.0ms	(/ (* y (- (pow z 3) (pow x 3))) (+ (* z z) (+ (* x x) (* z x))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (* x x) (* z x))
47.0ms	(- (pow z 3) (pow x 3))
103.0ms	(* y (- (pow z 3) (pow x 3)))
119.0ms	(/ (* y (- (pow z 3) (pow x 3))) (+ (* z z) (+ (* x x) (* z x))))

simplify70.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	496	919
1	2512	821
2	5001	814

prune313.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample463.0ms

Algorithm

intervals

Results

186.0ms

10138×

body

valid