Details

Time bar (total: 4.9s)

sample46.0ms

Algorithm
intervals
Results
24.0ms392×body80valid

simplify142.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019

prune3.0ms

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: 23.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* x 9.0) y)
0.5b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.3b
(* (* (* z 4.0) t) a)
20.1b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
5.0ms
(* (* x 9.0) y)
4.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
7.0ms
(* (* (* z 4.0) t) a)
10.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series344.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (* x 9.0) y)
83.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
34.0ms
(* (* (* z 4.0) t) a)
207.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify79.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0491675
12345574
25002574

prune399.0ms

Filtered
89 candidates to 57 candidates (64.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 7.1b

Counts
90 → 13

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
6.0b
(/ b (* z c))
6.5b
(/ (* a t) c)
12.1b
(/ (* x y) (* z c))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
7.0ms
(* 9.0 (/ (* x y) (* z c)))
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
8.0ms
(/ (* x y) (* z c))

series113.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* 9.0 (/ (* x y) (* z c)))
20.0ms
(/ b (* z c))
20.0ms
(/ (* a t) c)
28.0ms
(/ (* x y) (* z c))

simplify62.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0420503
12365384
25002384

prune250.0ms

Filtered
104 candidates to 62 candidates (59.6%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New977104
Fresh5712
Picked101
Done000
Total10314117

Merged error: 0.5b

Counts
117 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (* z c) y)
6.0b
(/ b (* z c))
6.5b
(/ (* a t) c)
6.9b
(/ x (/ (* z c) y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
4.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
4.0ms
(/ (* a t) c)
6.0ms
(/ x (/ (* z c) y))

series92.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* z c) y)
20.0ms
(/ b (* z c))
22.0ms
(/ (* a t) c)
31.0ms
(/ x (/ (* z c) y))

simplify57.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0457568
12237494
25001494

prune355.0ms

Filtered
123 candidates to 90 candidates (73.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1194123
Fresh31013
Picked101
Done000
Total12314137

Merged error: 0.3b

Counts
137 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

5.3b
(/ (* z c) y)
6.0b
(/ b (* z c))
6.3b
(* a (/ t c))
6.9b
(/ x (/ (* z c) y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
49×times-frac
37×add-sqr-sqrt
32×add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
13×associate-*r*
11×associate-/r*
10×cbrt-undiv div-exp
8×div-inv
7×associate-/l*
6×pow1
5×prod-exp cbrt-unprod
4×add-log-exp
3×frac-2neg associate-*l* clear-num
2×unswap-sqr
1×associate-*r/ pow-prod-down associate-/r/ *-commutative
Counts
4 → 122
Calls
4 calls:
4.0ms
(/ (* z c) y)
4.0ms
(/ b (* z c))
9.0ms
(* a (/ t c))
6.0ms
(/ x (/ (* z c) y))

series93.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* z c) y)
20.0ms
(/ b (* z c))
19.0ms
(* a (/ t c))
32.0ms
(/ x (/ (* z c) y))

simplify62.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0512616
12443542
25001542

prune321.0ms

Filtered
134 candidates to 97 candidates (72.4%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1340134
Fresh01313
Picked011
Done000
Total13414148

Merged error: 0.3b

Counts
148 → 14

regimes800.0ms

Accuracy

28.8% (7.0b remaining)

Error of 7.3b against oracle of 0.3b and baseline of 10.1b

bsearch312.0ms

Steps
ItersRangePoint
7
4.192776684212279e+113
9.03115591901762e+114
9.434014283078931e+113
8
3.249220037090873e-132
2.1415554600904205e-129
1.6945806032542124e-129
7
-1.3406070369546744e-108
-2.355496293878752e-110
-1.7559439253313656e-109
7
-8.757300114290012e+20
-5.947850100231971e+18
-7.927910295713793e+20

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07264
17264

end0.0ms

sample1.2s

Algorithm
intervals
Results
705.0ms12705×body80valid

Profiling

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