Details

Time bar (total: 1.5s)

analyze72.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
25%74.9%0.1%5
43.7%50%6.3%6
43.7%43.7%12.6%7
59.3%26.5%14.1%8
59.3%22.6%18%9
67.1%13.7%19.2%10
67.1%11.5%21.4%11
71%6.9%22%12
71%5.8%23.2%13
73%3.5%23.5%14

sample14.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms2×body80nan

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
166

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.8b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
19.4b
(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))

series14.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* x x) y)
10.0ms
(sqrt (+ (* x x) y))

simplify57.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04926260
14926260

prune46.0ms

Filtered
25 candidates to 32 candidates (-28.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh000
Picked011
Done000
Total28533

Merged error: 0b

Counts
33 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (cbrt (+ (* x x) y)))
0.3b
(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
20.2b
(cbrt (+ (* x x) y))
20.2b
(cbrt (+ (* x x) y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×cbrt-prod sqrt-prod
12×add-cube-cbrt *-un-lft-identity
9×associate-*r*
8×cbrt-div
7×pow1
6×add-exp-log add-cbrt-cube
4×flip3-+ sqrt-div flip-+ add-log-exp
3×pow1/3 associate-*l* unswap-sqr
2×rem-sqrt-square sqrt-pow1 associate-*r/
1×pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 74
Calls
4 calls:
4.0ms
(sqrt (cbrt (+ (* x x) y)))
8.0ms
(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
4.0ms
(cbrt (+ (* x x) y))
4.0ms
(cbrt (+ (* x x) y))

series79.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(sqrt (cbrt (+ (* x x) y)))
26.0ms
(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
17.0ms
(cbrt (+ (* x x) y))
17.0ms
(cbrt (+ (* x x) y))

simplify55.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
048981019
148981019

prune91.0ms

Filtered
65 candidates to 86 candidates (-32.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New86086
Fresh033
Picked011
Done011
Total86591

Merged error: 0b

Counts
91 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) y)
0.2b
(pow (sqrt (+ (* x x) y)) 3)
19.4b
(sqrt (+ (* x x) y))
34.4b
(cbrt (pow (sqrt (+ (* x x) y)) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity sqrt-prod
12×unpow-prod-down cube-prod
7×pow1
6×sqrt-div add-log-exp
5×add-exp-log add-cbrt-cube
4×cube-div flip3-+ flip-+
3×pow-unpow pow-pow
2×cube-mult cbrt-div sqrt-pow1 pow1/2 unpow3 sqr-pow
1×+-commutative pow-to-exp rem-sqrt-square pow1/3 pow-exp sum-log sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
4.0ms
(+ (* x x) y)
6.0ms
(pow (sqrt (+ (* x x) y)) 3)
4.0ms
(sqrt (+ (* x x) y))
6.0ms
(cbrt (pow (sqrt (+ (* x x) y)) 3))

series24.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(+ (* x x) y)
6.0ms
(pow (sqrt (+ (* x x) y)) 3)
5.0ms
(sqrt (+ (* x x) y))
8.0ms
(cbrt (pow (sqrt (+ (* x x) y)) 3))

simplify34.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05227942

prune95.0ms

Filtered
59 candidates to 101 candidates (-71.2%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done022
Total1015106

Merged error: 0b

Counts
106 → 5

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(* y (/ -1/2 x))

rewrite9.0ms

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
(* y (/ -1/2 x))

series3.0ms

Counts
1 → 3
Calls
1 calls:
3.0ms
(* y (/ -1/2 x))

simplify61.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05360230

prune34.0ms

Filtered
24 candidates to 35 candidates (-45.8%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New35035
Fresh011
Picked011
Done033
Total35540

Merged error: 0b

Counts
40 → 5

regimes343.0ms

Accuracy

99.7% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 21.0b

bsearch20.0ms

Steps
ItersRangePoint
8
6.400958242983436e+119
7.467684797274527e+123
5.387061067299576e+123
7
-1.5337067079474274e+156
-7.911736545180287e+153
-1.329039756614657e+154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03328
13328

end0.0ms

sample338.0ms

Algorithm
intervals
Results
207.0ms8000×body80valid
3.0ms144×body80nan

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