Details

Time bar (total: 1.6s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0143
1193
2213
3233
4253
5263
6263

prune4.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b
(* (/ 841.0 108.0) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*l*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*r*
2×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
7.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms
(* (/ 841.0 108.0) x)

series56.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
19.0ms
(* (/ 841.0 108.0) x)

simplify83.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (78.0ms)

IterNodesCost
0252227
1873207
23441206
35001205

prune94.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh000
Picked011
Done000
Total53356

Merged error: 0b

Counts
56 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (* 108.0 29.0))
0.2b
(fma (* 841.0 x) 29.0 (* 108.0 4.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×times-frac associate-/l*
2×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod fma-udef div-inv
Counts
2 → 33
Calls
2 calls:
4.0ms
(/ (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (* 108.0 29.0))
1.0ms
(fma (* 841.0 x) 29.0 (* 108.0 4.0))

series102.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (fma (* 841.0 x) 29.0 (* 108.0 4.0)) (* 108.0 29.0))
40.0ms
(fma (* 841.0 x) 29.0 (* 108.0 4.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0135238
1433198
22003198
35001198

prune64.0ms

Filtered
39 candidates to 30 candidates (76.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh011
Picked011
Done011
Total39342

Merged error: 0b

Counts
42 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b
(* (cbrt (/ 841.0 108.0)) x)
0.3b
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
79×cbrt-prod
76×add-sqr-sqrt
52×times-frac
45×add-cube-cbrt *-un-lft-identity
33×associate-*l*
29×cbrt-div
25×pow1
20×add-exp-log associate-*r* associate-*l/
16×swap-sqr
12×unswap-sqr
11×frac-times pow-prod-down add-cbrt-cube
10×prod-exp cbrt-unprod
7×associate-*r/ frac-add
6×pow1/3 add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×pow-sqr pow-prod-up
1×+-commutative pow2 fma-def flip3-+ pow-plus sum-log flip-+
Counts
4 → 168
Calls
4 calls:
17.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
6.0ms
(* (cbrt (/ 841.0 108.0)) x)
17.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
12.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series250.0ms

Counts
4 → 10
Calls
4 calls:
105.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
47.0ms
(* (cbrt (/ 841.0 108.0)) x)
97.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify72.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05151513
118971352
250011264

prune332.0ms

Filtered
178 candidates to 124 candidates (69.7%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1780178
Fresh000
Picked011
Done022
Total1783181

Merged error: 0b

Counts
181 → 3

regimes38.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample304.0ms

Algorithm
intervals
Results
211.0ms8009×body80valid

Profiling

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