Details

Time bar (total: 3.4s)

sample17.0ms

Algorithm
intervals
Results
8.0ms334×body80valid

simplify19.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903

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: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- y x) z))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
8.0ms
(+ x (/ (- y x) z))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(+ x (/ (- y x) z))

simplify32.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09089
129881
2119081
3500281

prune38.0ms

Filtered
21 candidates to 16 candidates (76.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New18321
Fresh000
Picked011
Done000
Total18422

Merged error: 0.0b

Counts
22 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series725.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(* (cbrt x) (cbrt x))
169.0ms
(cbrt x)
169.0ms
(cbrt x)
175.0ms
(cbrt x)

simplify90.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune203.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh022
Picked011
Done011
Total93497

Merged error: 0.0b

Counts
97 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (/ (- y x) z)))
0.5b
(cbrt (+ x (/ (- y x) z)))
0.5b
(cbrt (+ x (/ (- y x) z)))
0.5b
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
11.0ms
(cbrt (+ x (/ (- y x) z)))
9.0ms
(cbrt (+ x (/ (- y x) z)))
8.0ms
(cbrt (+ x (/ (- y x) z)))
21.0ms
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))

series771.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(cbrt (+ x (/ (- y x) z)))
167.0ms
(cbrt (+ x (/ (- y x) z)))
161.0ms
(cbrt (+ x (/ (- y x) z)))
276.0ms
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
02921213
19801147
250011057

prune239.0ms

Filtered
115 candidates to 83 candidates (72.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1150115
Fresh011
Picked011
Done022
Total1154119

Merged error: 0.0b

Counts
119 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- y x) z))
0.1b
(sqrt (+ x (/ (- y x) z)))
0.1b
(sqrt (+ x (/ (- y x) z)))
0.3b
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
34×sqrt-prod
21×pow1
16×sqrt-div
15×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×expm1-log1p-u frac-times hypot-def log1p-expm1-u unswap-sqr
3×fma-def pow-prod-down pow-sqr
2×rem-sqrt-square times-frac associate-*r/ associate-*l/
1×+-commutative pow2 associate-+r- pow-plus sqrt-unprod div-sub prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 122
Calls
4 calls:
9.0ms
(+ x (/ (- y x) z))
9.0ms
(sqrt (+ x (/ (- y x) z)))
13.0ms
(sqrt (+ x (/ (- y x) z)))
21.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

series317.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(+ x (/ (- y x) z))
135.0ms
(sqrt (+ x (/ (- y x) z)))
138.0ms
(sqrt (+ x (/ (- y x) z)))
22.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

simplify48.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0238837
1917755
25001729

prune203.0ms

Filtered
134 candidates to 78 candidates (58.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done033
Total1344138

Merged error: 0.0b

Counts
138 → 4

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
073
173

end0.0ms

sample440.0ms

Algorithm
intervals
Results
238.0ms10083×body80valid

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