Details

Time bar (total: 1.6s)

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0219
1219

prune11.0ms

Filtered
1 candidates to 1 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 → 2

localize192.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b
(* (/ 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×associate-*l/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
7.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
6.0ms
(* (/ 841.0 108.0) x)

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
2.0ms
(* (/ 841.0 108.0) x)

simplify46.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04950401
14950401

prune77.0ms

Filtered
37 candidates to 50 candidates (-35.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New48250
Fresh011
Picked011
Done000
Total48452

Merged error: 0b

Counts
52 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

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×associate-*r/ prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
10.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
6.0ms
(* 841.0 (/ x 108.0))

series6.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
2.0ms
(* 841.0 (/ x 108.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04983407
14983407

prune68.0ms

Filtered
37 candidates to 50 candidates (-35.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New50050
Fresh022
Picked011
Done011
Total50454

Merged error: 0b

Counts
54 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
0.1b
(* x (cbrt (/ 841.0 108.0)))
0.4b
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
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-*r*
29×cbrt-div
25×pow1
20×add-exp-log associate-*l*
16×associate-*r/ swap-sqr
12×unswap-sqr
11×frac-times pow-prod-down associate-*l/ add-cbrt-cube
10×prod-exp cbrt-unprod
7×frac-add
6×pow1/3 add-log-exp
5×div-inv
3×*-commutative
2×pow-sqr pow-prod-up
1×+-commutative pow2 flip3-+ pow-plus sum-log flip-+
Counts
4 → 159
Calls
4 calls:
19.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
7.0ms
(* x (cbrt (/ 841.0 108.0)))
14.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
12.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series24.0ms

Counts
4 → 10
Calls
4 calls:
11.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0)))) (/ 4.0 29.0))
4.0ms
(* x (cbrt (/ 841.0 108.0)))
9.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* x (cbrt (/ 841.0 108.0))))
0.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify40.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051011823

prune356.0ms

Filtered
119 candidates to 169 candidates (-42.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1690169
Fresh011
Picked011
Done022
Total1694173

Merged error: 0b

Counts
173 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (log (pow (exp (/ 841.0 108.0)) x)) (/ 4.0 29.0))
1.0b
(exp (/ 841.0 108.0))
2.8b
(log (pow (exp (/ 841.0 108.0)) x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt log-prod
13×exp-prod
9×times-frac
7×associate-+l+
6×unpow-prod-down
5×add-log-exp
4×add-exp-log
3×pow1 rem-log-exp add-cbrt-cube
2×sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log log-pow flip-+ div-inv rem-exp-log distribute-lft-out
Counts
3 → 58
Calls
3 calls:
10.0ms
(+ (log (pow (exp (/ 841.0 108.0)) x)) (/ 4.0 29.0))
3.0ms
(exp (/ 841.0 108.0))
4.0ms
(log (pow (exp (/ 841.0 108.0)) x))

series27.0ms

Counts
3 → 7
Calls
3 calls:
13.0ms
(+ (log (pow (exp (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.0ms
(exp (/ 841.0 108.0))
13.0ms
(log (pow (exp (/ 841.0 108.0)) x))

simplify37.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
04937556
14937556

prune113.0ms

Filtered
53 candidates to 65 candidates (-22.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New65065
Fresh000
Picked011
Done033
Total65469

Merged error: 0b

Counts
69 → 4

regimes95.0ms

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
0119
1119

end0.0ms

sample335.0ms

Algorithm
intervals
Results
210.0ms8008×body80valid
0.0ms1×body640valid

Profiling

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