Details

Time bar (total: 1.9s)

sample17.0ms

Algorithm
intervals
Results
6.0ms256×body80valid
2.0ms84×body80nan

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 21.8b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x x) y)
20.3b
(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))

series64.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0141152
1475139
21515137
35002135

prune58.0ms

Filtered
32 candidates to 25 candidates (78.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433

Merged error: 0.0b

Counts
33 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (cbrt (+ (* x x) y)))
0.3b
(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
21.2b
(cbrt (+ (* x x) y))
21.2b
(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))

series326.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(sqrt (cbrt (+ (* x x) y)))
93.0ms
(* (fabs (cbrt (+ (* x x) y))) (sqrt (cbrt (+ (* x x) y))))
78.0ms
(cbrt (+ (* x x) y))
78.0ms
(cbrt (+ (* x x) y))

simplify89.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0256708
1896665
23480658
35001651

prune211.0ms

Filtered
86 candidates to 73 candidates (84.9%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85186
Fresh022
Picked101
Done011
Total86490

Merged error: 0b

Counts
90 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

21.2b
(cbrt (+ (* x x) y))
21.2b
(cbrt (+ (* x x) y))
21.2b
(cbrt (+ (* x x) y))
21.2b
(cbrt (+ (* x x) y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
4.0ms
(cbrt (+ (* x x) y))
4.0ms
(cbrt (+ (* x x) y))
4.0ms
(cbrt (+ (* x x) y))
4.0ms
(cbrt (+ (* x x) y))

series316.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(cbrt (+ (* x x) y))
79.0ms
(cbrt (+ (* x x) y))
78.0ms
(cbrt (+ (* x x) y))
77.0ms
(cbrt (+ (* x x) y))

simplify124.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (118.0ms)

IterNodesCost
0106396
1296368
2867360
33517360
45001356

prune219.0ms

Filtered
64 candidates to 56 candidates (87.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh022
Picked011
Done011
Total64468

Merged error: 0b

Counts
68 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ div-exp pow-prod-down *-commutative flip-- div-inv
Counts
2 → 44
Calls
2 calls:
6.0ms
(* -1/2 (/ y x))
5.0ms
(- (* -1/2 (/ y x)) x)

series58.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(* -1/2 (/ y x))
42.0ms
(- (* -1/2 (/ y x)) x)

simplify96.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0219205
1893190
24202189
35003189

prune63.0ms

Filtered
50 candidates to 34 candidates (68.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New50050
Fresh011
Picked011
Done022
Total50454

Merged error: 0b

Counts
54 → 4

regimes154.0ms

bsearch4.0ms

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