Details

Time bar (total: 5.0s)

sample53.0ms

Algorithm
intervals
Results
24.0ms284×body80valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
0491437
1491437

prune16.0ms

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: 28.7b

Counts
2 → 2

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
0.1b
(* z (+ (* z 3.13060547623) 11.1667541262))
0.1b
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.8b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×add-cube-cbrt *-un-lft-identity
21×associate-*r*
19×times-frac
15×add-exp-log add-cbrt-cube
10×pow1
9×associate-*l*
5×flip3-+ associate-*r/ flip-+
4×prod-exp associate-/r/ cbrt-unprod add-log-exp unswap-sqr
3×pow-prod-down associate-/r* *-commutative associate-/l*
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp div-inv associate-/l/
1×frac-2neg clear-num
Counts
4 → 109
Calls
4 calls:
11.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
29.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
30.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series211.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t))
8.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
143.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
54.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify64.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050963335

prune339.0ms

Filtered
90 candidates to 121 candidates (-34.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1147121
Fresh101
Picked101
Done000
Total1167123

Merged error: 0.2b

Counts
123 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
2.4b
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
10.5b
(/ t (* z z))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×distribute-lft-out
3×times-frac associate-*l* associate-/l*
2×cbrt-undiv associate-+r+ flip3-+ associate-*r/ div-exp prod-exp sum-log cbrt-unprod flip-+ distribute-lft-out--
1×+-commutative distribute-rgt-in associate-+r- sub-neg frac-2neg distribute-lft-in diff-log pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
3 → 62
Calls
3 calls:
15.0ms
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
20.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.0ms
(/ t (* z z))

series27.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))
16.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.0ms
(/ t (* z z))

simplify34.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05014800

prune107.0ms

Filtered
48 candidates to 71 candidates (-47.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New71071
Fresh066
Picked011
Done000
Total71778

Merged error: 0.2b

Counts
78 → 7

localize31.0ms

Local error

Found 4 expressions with local error:

8.4b
(sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
8.4b
(sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
18.2b
(* (/ 1 (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))) (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))
24.3b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
95×add-sqr-sqrt
76×times-frac
53×*-un-lft-identity
47×add-cube-cbrt sqrt-prod
28×add-exp-log
24×associate-*r* associate-*l*
18×add-cbrt-cube
15×unswap-sqr
10×sqrt-div
9×div-exp
8×pow1 prod-exp
6×flip3-+ associate-/r* associate-/r/ flip-+
5×cbrt-undiv
4×cbrt-unprod add-log-exp
3×div-inv associate-/l*
2×rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 160
Calls
4 calls:
19.0ms
(sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
13.0ms
(sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
57.0ms
(* (/ 1 (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))) (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))
33.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))

series142.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
7.0ms
(sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
56.0ms
(* (/ 1 (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))) (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))
73.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (sqrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))

simplify94.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050267445

prune568.0ms

Filtered
110 candidates to 172 candidates (-56.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1720172
Fresh055
Picked011
Done011
Total1727179

Merged error: 0.2b

Counts
179 → 7

localize34.0ms

Local error

Found 4 expressions with local error:

18.7b
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
18.7b
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
18.7b
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
25.9b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (* (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×flip3-+ flip-+
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/ associate-/l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
13.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
13.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
13.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
48.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (* (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))

series165.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
11.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
11.0ms
(cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))
132.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (* (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)) (cbrt (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))))

simplify79.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049573065
149573065

prune372.0ms

Filtered
72 candidates to 82 candidates (-13.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh044
Picked011
Done022
Total82789

Merged error: 0.2b

Counts
89 → 7

regimes854.0ms

Accuracy

97.2% (0.8b remaining)

Error of 1.1b against oracle of 0.3b and baseline of 28.0b

bsearch70.0ms

Steps
ItersRangePoint
9
49209036442607.29
3.4428630789166717e+22
1.9552340830576186e+21
6
-2.0015744330042662e+40
-1.6681814751331798e+39
-1.1718011569562527e+40

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08796
18796

end0.0ms

sample1.3s

Algorithm
intervals
Results
747.0ms8883×body80valid

Profiling

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