Details

Time bar (total: 3.1s)

sample27.0ms

Algorithm
intervals
Results
14.0ms419×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0227
1557
21017
31827
43357
57317
618287
750017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
4.3b
(- (+ (* x x) (* y y)) (* z z))
26.8b
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×add-exp-log add-sqr-sqrt add-cbrt-cube
5×add-cube-cbrt *-un-lft-identity
4×times-frac associate-/l*
3×pow1 difference-of-squares
2×cbrt-undiv flip3-- diff-log div-exp sum-log flip-- associate-/l/
1×+-commutative sub-neg frac-2neg flip3-+ div-sub prod-exp associate--l+ clear-num associate-/r* cbrt-unprod flip-+ div-inv
Counts
3 → 52
Calls
3 calls:
3.0ms
(+ (* x x) (* y y))
19.0ms
(- (+ (* x x) (* y y)) (* z z))
31.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series145.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ (* x x) (* y y))
39.0ms
(- (+ (* x x) (* y y)) (* z z))
80.0ms
(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify42.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0337520
11492454
25001446

prune155.0ms

Filtered
61 candidates to 46 candidates (75.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 11.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
0.0b
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.3b
(/ (pow x 2) y)
11.4b
(/ (pow z 2) y)

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
52×times-frac
50×add-sqr-sqrt
45×*-un-lft-identity
38×add-cube-cbrt
25×unpow-prod-down
16×associate-/l*
14×add-exp-log
11×add-log-exp
9×unpow2 sqr-pow
8×add-cbrt-cube
6×div-exp associate-/r*
5×difference-of-squares
4×pow1
2×cbrt-undiv pow-to-exp frac-2neg flip3-+ diff-log pow-exp clear-num sum-log frac-sub flip-+ div-inv distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 133
Calls
4 calls:
12.0ms
(+ y (/ (pow x 2) y))
127.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
5.0ms
(/ (pow x 2) y)
4.0ms
(/ (pow z 2) y)

series102.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ (pow x 2) y))
40.0ms
(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
18.0ms
(/ (pow x 2) y)
18.0ms
(/ (pow z 2) y)

simplify44.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0419838
11459771
25001759

prune328.0ms

Filtered
145 candidates to 92 candidates (63.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (pow x 2) y))
0.0b
(- (+ y (/ (pow x 2) y)) (* (fabs z) (/ (fabs z) y)))
0.2b
(* (fabs z) (/ (fabs z) y))
9.3b
(/ (pow x 2) y)

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt times-frac
31×*-un-lft-identity
29×add-cube-cbrt
14×add-exp-log
13×associate-*r*
12×unpow-prod-down
11×add-cbrt-cube add-log-exp
8×associate-/l*
6×pow1
4×div-exp unpow2 sqr-pow
3×associate-*r/ associate-*l* associate-/r*
2×cbrt-undiv flip3-+ diff-log prod-exp sum-log frac-sub cbrt-unprod flip-+ div-inv unswap-sqr
1×+-commutative pow-to-exp sub-neg flip3-- frac-2neg pow-prod-down pow-exp associate--l+ clear-num *-commutative flip-- distribute-lft-out
Counts
4 → 109
Calls
4 calls:
12.0ms
(+ y (/ (pow x 2) y))
118.0ms
(- (+ y (/ (pow x 2) y)) (* (fabs z) (/ (fabs z) y)))
8.0ms
(* (fabs z) (/ (fabs z) y))
4.0ms
(/ (pow x 2) y)

series112.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(+ y (/ (pow x 2) y))
45.0ms
(- (+ y (/ (pow x 2) y)) (* (fabs z) (/ (fabs z) y)))
21.0ms
(* (fabs z) (/ (fabs z) y))
19.0ms
(/ (pow x 2) y)

simplify54.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0429756
11830680
25002673

prune303.0ms

Filtered
121 candidates to 81 candidates (66.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (fabs x) (/ (fabs x) y)))
0.0b
(- (+ y (* (fabs x) (/ (fabs x) y))) (* (fabs z) (/ (fabs z) y)))
0.2b
(* (fabs z) (/ (fabs z) y))
0.2b
(* (fabs x) (/ (fabs x) y))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*r*
20×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
11×add-log-exp
8×pow1
6×associate-*l*
4×associate-*r/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv flip3-+ diff-log div-exp pow-prod-down sum-log *-commutative frac-sub flip-+ div-inv
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 91
Calls
4 calls:
4.0ms
(+ y (* (fabs x) (/ (fabs x) y)))
12.0ms
(- (+ y (* (fabs x) (/ (fabs x) y))) (* (fabs z) (/ (fabs z) y)))
7.0ms
(* (fabs z) (/ (fabs z) y))
7.0ms
(* (fabs x) (/ (fabs x) y))

series95.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ y (* (fabs x) (/ (fabs x) y)))
37.0ms
(- (+ y (* (fabs x) (/ (fabs x) y))) (* (fabs z) (/ (fabs z) y)))
18.0ms
(* (fabs z) (/ (fabs z) y))
19.0ms
(* (fabs x) (/ (fabs x) y))

simplify58.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0441814
12177717
25001709

prune262.0ms

Filtered
103 candidates to 75 candidates (72.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

regimes135.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02010
12110
22110

end0.0ms

sample751.0ms

Algorithm
intervals
Results
475.0ms13646×body80valid