Details

Time bar (total: 1.8s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
2.0ms92×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.6b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
22.9b
(sqrt (+ (* x x) y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt add-log-exp
3×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
2×add-exp-log flip3-+ sqrt-div add-cbrt-cube flip-+
1×+-commutative rem-sqrt-square sqrt-pow1 pow1/2 sum-log
Counts
2 → 26
Calls
2 calls:
4.0ms
(+ (* x x) y)
4.0ms
(sqrt (+ (* x x) y))

series61.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (* x x) y)
39.0ms
(sqrt (+ (* x x) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0141152
1475139
21515138
35002136

prune73.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
23.8b
(cbrt (+ (* x x) y))
23.8b
(cbrt (+ (* x x) y))
23.8b
(cbrt (+ (* x x) y))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-+ flip-+
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow-plus
5×pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 89
Calls
4 calls:
21.0ms
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
4.0ms
(cbrt (+ (* x x) y))
4.0ms
(cbrt (+ (* x x) y))
4.0ms
(cbrt (+ (* x x) y))

series264.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
73.0ms
(cbrt (+ (* x x) y))
71.0ms
(cbrt (+ (* x x) y))
76.0ms
(cbrt (+ (* x x) y))

simplify140.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (129.0ms)

IterNodesCost
03041226
16851186
227521170
350011117

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (/ y x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(* 1/2 (/ y x))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(* 1/2 (/ y x))

simplify62.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164128
1727118
22966118
35001118

prune56.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 1/2 (/ y x))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
7.0ms
(* 1/2 (/ y x))

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* 1/2 (/ y x))

simplify62.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164128
1727118
22966118
35001118

prune56.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes155.0ms

Accuracy

99.4% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.4b

bsearch42.0ms

Steps
ItersRangePoint
7
8.345875622636715e+104
5.6916829213981785e+106
5.912687313562637e+105
8
-1.649051516658237e+156
-6.357526722460419e+151
-1.3399103386549657e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12910
23110
33110

end0.0ms

sample384.0ms

Algorithm
intervals
Results
158.0ms8000×body80valid
58.0ms2658×body80nan