Details

sample22.0ms

Algorithm

intervals

Results

12.0ms

330×

body

valid

simplify185.0ms

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

rewrite21.0ms

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:

10.0ms	(* y (- z x))
9.0ms	(+ x (* y (- z x)))

series74.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (- z x))
38.0ms	(+ x (* y (- z x)))

simplify90.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	172	180
1	731	165
2	3521	165
3	5003	165

prune79.0ms

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))

rewrite34.0ms

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:

23.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))

series566.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
146.0ms	(cbrt (- z x))
146.0ms	(cbrt (- z x))
149.0ms	(cbrt (- z x))

simplify153.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (145.0ms)

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

prune287.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
4.5b	(- (* z z) (* x x))
10.3b	(* y (- (* z z) (* x x)))
18.1b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

10.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.0ms	(- (* z z) (* x x))
11.0ms	(* y (- (* z z) (* x x)))
11.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series225.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
31.0ms	(- (* z z) (* x x))
68.0ms	(* y (- (* z z) (* x x)))
72.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify51.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	367	620
1	1808	538
2	5001	507

prune170.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
0.1b	(* (sqrt y) (- z x))
0.2b	(* (sqrt y) (* (sqrt y) (- z x)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 80

Calls

3 calls:

4.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
15.0ms	(* (sqrt y) (- z x))
18.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

series168.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ x (* (sqrt y) (* (sqrt y) (- z x))))
76.0ms	(* (sqrt y) (- z x))
45.0ms	(* (sqrt y) (* (sqrt y) (- z x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	337	476
1	1436	396
2	5002	388

prune155.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes79.0ms

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

sample591.0ms

Algorithm

intervals

Results

376.0ms

10028×

body

valid