Details

Time bar (total: 5.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms284×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0175
1325
2604
31124
41724
52314
62794
73524
84854
96484
1010744
1113584
1213994
1313994

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- a t))
3.1b
(fma (/ y (- a t)) (- z t) x)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r*
4×add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
1×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- fma-udef div-inv
Counts
2 → 49
Calls
2 calls:
9.0ms
(/ y (- a t))
1.0ms
(fma (/ y (- a t)) (- z t) x)

series222.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ y (- a t))
190.0ms
(fma (/ y (- a t)) (- z t) x)

simplify107.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0166265
1444246
21278244
34359243
45001243

prune152.0ms

Filtered
55 candidates to 43 candidates (78.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New51455
Fresh011
Picked011
Done000
Total51657

Merged error: 0.0b

Counts
57 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.5b
(cbrt y)
3.1b
(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- z t) x)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×fma-udef
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- z t) x)

series786.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt y)
184.0ms
(cbrt y)
187.0ms
(cbrt y)
221.0ms
(fma (/ (* (cbrt y) (cbrt y)) (/ (- a t) (cbrt y))) (- z t) x)

simplify180.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
085265
1206235
2734223
34712221
45001221

prune216.0ms

Filtered
61 candidates to 52 candidates (85.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New60161
Fresh134
Picked011
Done011
Total61667

Merged error: 0.0b

Counts
67 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

3.1b
(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
13.3b
(cbrt (/ y (- a t)))
13.3b
(cbrt (/ y (- a t)))
13.3b
(cbrt (/ y (- a t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
45×times-frac
31×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
6×associate-/r/
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 106
Calls
4 calls:
1.0ms
(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
5.0ms
(cbrt (/ y (- a t)))
6.0ms
(cbrt (/ y (- a t)))
5.0ms
(cbrt (/ y (- a t)))

series797.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(fma (* (* (cbrt (/ y (- a t))) (cbrt (/ y (- a t)))) (cbrt (/ y (- a t)))) (- z t) x)
191.0ms
(cbrt (/ y (- a t)))
187.0ms
(cbrt (/ y (- a t)))
188.0ms
(cbrt (/ y (- a t)))

simplify127.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0223989
1467940
21319925
34542901
45001901

prune449.0ms

Filtered
118 candidates to 96 candidates (81.4%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1171118
Fresh033
Picked011
Done022
Total1177124

Merged error: 0b

Counts
124 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

3.1b
(fma (* (* (cbrt (/ y (- a t))) (* (cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (- a t)))) (- z t) x)
5.5b
(cbrt (/ y (cbrt (- a t))))
13.3b
(cbrt (/ y (- a t)))
13.3b
(cbrt (/ y (- a t)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
87×cbrt-prod
55×add-sqr-sqrt *-un-lft-identity
54×times-frac
37×add-cube-cbrt
9×distribute-lft-out-- difference-of-squares
6×associate-/r/
5×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- div-inv
1×fma-udef
Counts
4 → 115
Calls
4 calls:
1.0ms
(fma (* (* (cbrt (/ y (- a t))) (* (cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (- a t)))) (- z t) x)
7.0ms
(cbrt (/ y (cbrt (- a t))))
5.0ms
(cbrt (/ y (- a t)))
6.0ms
(cbrt (/ y (- a t)))

series835.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(fma (* (* (cbrt (/ y (- a t))) (* (cbrt (/ 1 (* (cbrt (- a t)) (cbrt (- a t))))) (cbrt (/ y (cbrt (- a t)))))) (cbrt (/ y (- a t)))) (- z t) x)
221.0ms
(cbrt (/ y (cbrt (- a t))))
191.0ms
(cbrt (/ y (- a t)))
190.0ms
(cbrt (/ y (- a t)))

simplify131.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
04311287
110971219
246961204
350011204

prune657.0ms

Filtered
127 candidates to 109 candidates (85.8%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done033
Total1277134

Merged error: 0b

Counts
134 → 7

regimes175.0ms

Accuracy

54.9% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 3.0b

bsearch94.0ms

Steps
ItersRangePoint
10
5.588141727887078e-67
5.0028261808077047e-48
8.316503418850817e-49
8
-8.047459109361601e-29
-1.646048926910439e-33
-7.281987108513178e-29

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0239
1239

end0.0ms

sample533.0ms

Algorithm
intervals
Results
277.0ms8732×body80valid
0.0ms1×body160valid