Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

407×

body

valid

simplify87.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

4.0ms	(+ x (* (- y z) (- t x)))
9.0ms	(* (- y z) (- t x))

series89.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ x (* (- y z) (- t x)))
34.0ms	(* (- y z) (- t x))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	290	310
1	1174	292
2	5001	291

prune119.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- t x)) (cbrt (- t x)))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))
0.5b	(cbrt (- t x))

rewrite24.0ms

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:

11.0ms	(* (cbrt (- t x)) (cbrt (- t x)))
3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))
3.0ms	(cbrt (- t x))

series566.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (cbrt (- t x)) (cbrt (- t x)))
146.0ms	(cbrt (- t x))
148.0ms	(cbrt (- t x))
149.0ms	(cbrt (- t x))

simplify152.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 3 (143.0ms)

Iter	Nodes	Cost
0	260	760
1	908	723
2	4494	670
3	5001	660

prune303.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
2.0b	(- (* t t) (* x x))
5.6b	(* (- y z) (- (* t t) (* x x)))
22.1b	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

9.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
3.0ms	(- (* t t) (* x x))
9.0ms	(* (- y z) (- (* t t) (* x x)))
12.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

series300.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(+ x (/ (* (- y z) (- (* t t) (* x x))) (+ t x)))
33.0ms	(- (* t t) (* x x))
76.0ms	(* (- y z) (- (* t t) (* x x)))
92.0ms	(/ (* (- y z) (- (* t t) (* x x))) (+ t x))

simplify70.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	516	878
1	2664	784
2	5002	783

prune246.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ z 1) y)
0.0b	(* x (- (+ z 1) y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

6.0ms	(- (+ z 1) y)
11.0ms	(* x (- (+ z 1) y))

series44.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(- (+ z 1) y)
31.0ms	(* x (- (+ z 1) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	160	216
1	658	194
2	3344	193
3	5002	193

prune74.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes125.0ms

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	10	4
1	10	4

end0.0ms

sample592.0ms

Algorithm

intervals

Results

293.0ms

12205×

body

valid