Details

Time bar (total: 1.9s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms100×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
063
163

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
17.1b
(sqrt (+ (* x x) y))

rewrite7.0ms

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:
3.0ms
(+ (* x x) y)
4.0ms
(sqrt (+ (* x x) y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ (* x x) y)
45.0ms
(sqrt (+ (* x x) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (46.0ms)

IterNodesCost
0141152
1475139
21515138
35001136

prune67.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

17.1b
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
17.9b
(cbrt (+ (* x x) y))
17.9b
(cbrt (+ (* x x) y))
17.9b
(cbrt (+ (* x x) y))

rewrite47.0ms

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:
35.0ms
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
2.0ms
(cbrt (+ (* x x) y))
2.0ms
(cbrt (+ (* x x) y))
2.0ms
(cbrt (+ (* x x) y))

series263.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(sqrt (* (* (cbrt (+ (* x x) y)) (cbrt (+ (* x x) y))) (cbrt (+ (* x x) y))))
74.0ms
(cbrt (+ (* x x) y))
74.0ms
(cbrt (+ (* x x) y))
75.0ms
(cbrt (+ (* x x) y))

simplify148.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 3 (136.0ms)

IterNodesCost
03041221
16861186
228371170
350011117

prune205.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

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:
7.0ms
(* 1/2 (/ y x))

series17.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164128
1727118
22966118
35001118

prune55.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

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:
7.0ms
(* 1/2 (/ y x))

series17.0ms

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

simplify63.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0164128
1727118
22966118
35001118

prune54.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

99.9% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 21.8b

bsearch24.0ms

Steps
ItersRangePoint
0
5.935778912611107e+140
5.966704354637365e+140
5.951241633624236e+140
7
-1.5931363873182533e+155
-1.016503209116054e+153
-1.3348711429761005e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02210
12910
23110
33110

end0.0ms

sample542.0ms

Algorithm
intervals
Results
276.0ms8000×body80valid
93.0ms2700×body80nan