Details

Time bar (total: 4.7s)

sample50.0ms

Algorithm
intervals
Results
28.0ms275×body80valid

simplify62.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
0491437
1491437

prune15.0ms

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: 30.7b

Counts
2 → 2

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
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)))
29.8b
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

rewrite70.0ms

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:
8.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
7.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
24.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
27.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

series192.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* z (+ (* z (+ z 15.234687407)) 31.4690115749))
6.0ms
(* z (+ (* z 3.13060547623) 11.1667541262))
131.0ms
(* y (/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771)))
52.0ms
(/ (+ (* z (+ (* z (+ (* z (+ (* z 3.13060547623) 11.1667541262)) t)) a)) b) (+ (* z (+ (* z (+ (* z (+ z 15.234687407)) 31.4690115749)) 11.9400905721)) 0.607771387771))

simplify87.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
049603281
149603281

prune314.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1165121
Fresh011
Picked101
Done000
Total1176123

Merged error: 0.5b

Counts
123 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))))
0.0b
(- (/ t (* z z)) (/ 36.527041698806414 z))
3.1b
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
9.3b
(/ t (* z z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×*-un-lft-identity
11×add-exp-log add-cbrt-cube
8×add-cube-cbrt add-log-exp
7×times-frac
6×pow1
5×associate-*r*
4×difference-of-squares
3×associate-*l* associate-/l*
2×cbrt-undiv distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ div-exp prod-exp cbrt-unprod flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg flip3-- frac-2neg diff-log pow-prod-down clear-num associate-/r* sum-log *-commutative frac-sub flip-- div-inv unswap-sqr
Counts
4 → 76
Calls
4 calls:
3.0ms
(+ x (* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))))
11.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
15.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.0ms
(/ t (* z z))

series48.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(+ x (* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z)))))
7.0ms
(- (/ t (* z z)) (/ 36.527041698806414 z))
14.0ms
(* y (+ 3.13060547623 (- (/ t (* z z)) (/ 36.527041698806414 z))))
5.0ms
(/ t (* z z))

simplify53.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
053041107

prune139.0ms

Filtered
64 candidates to 88 candidates (-37.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh055
Picked011
Done000
Total85994

Merged error: 0.5b

Counts
94 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
1.2b
(* (* (cbrt y) (cbrt y)) (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
2.2b
(* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y))
9.3b
(/ t (* z z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
18×pow1
16×add-cbrt-cube
15×*-un-lft-identity
14×add-sqr-sqrt
10×add-cube-cbrt prod-exp cbrt-unprod
9×pow-prod-down
8×associate-*l/
7×cbrt-prod associate-*r*
6×associate-*l*
4×associate-*r/ frac-add add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv flip3-- flip3-+ div-exp *-commutative flip-- flip-+ distribute-lft-out unswap-sqr
1×frac-2neg pow1/3 clear-num associate-/r* div-inv distribute-lft-out--
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt y)
20.0ms
(* (* (cbrt y) (cbrt y)) (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
15.0ms
(* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y))
4.0ms
(/ t (* z z))

series69.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
17.0ms
(* (* (cbrt y) (cbrt y)) (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
26.0ms
(* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y))
5.0ms
(/ t (* z z))

simplify53.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050291199

prune143.0ms

Filtered
64 candidates to 98 candidates (-53.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh077
Picked101
Done011
Total989107

Merged error: 0.5b

Counts
107 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

9.3b
(/ t (* z z))
12.3b
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
12.3b
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
12.3b
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-div associate-*l/
9×add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity frac-add
4×pow1 add-log-exp
3×cbrt-prod flip3-- flip3-+ times-frac pow1/3 flip-- flip-+ associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 60
Calls
4 calls:
4.0ms
(/ t (* z z))
14.0ms
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
13.0ms
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
15.0ms
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ t (* z z))
117.0ms
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
118.0ms
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))
117.0ms
(cbrt (* (+ (/ t (* z z)) (- 3.13060547623 (/ 36.527041698806414 z))) (cbrt y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049081242
149081242

prune196.0ms

Filtered
63 candidates to 72 candidates (-14.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New71172
Fresh077
Picked101
Done011
Total72981

Merged error: 0.5b

Counts
81 → 9

regimes1.1s

Accuracy

95.9% (1.1b remaining)

Error of 1.5b against oracle of 0.4b and baseline of 27.6b

bsearch65.0ms

Steps
ItersRangePoint
8
71977224990097304.0
3.565800247188327e+21
3.4942619020844314e+21
6
-1.4920895677508405e+67
-1.4135094820751304e+66
-2.4511184709490693e+66

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
072135
172135

end0.0ms

sample1.4s

Algorithm
intervals
Results
804.0ms8878×body80valid

Profiling

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