Details

Time bar (total: 6.1s)

sample22.0ms

Algorithm
intervals
Results
9.0ms348×body80valid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune2.0ms

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: 6.9b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.2b
(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series130.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- x (/ (* y (- z t)) a))
38.0ms
(* y (- z t))
45.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0291345
11204306
25001306

prune149.0ms

Filtered
72 candidates to 47 candidates (65.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New64872
Fresh000
Picked011
Done000
Total64973

Merged error: 0.0b

Counts
73 → 9

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.8b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
21.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series793.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt a)
175.0ms
(cbrt a)
357.0ms
(cbrt a)
90.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune322.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh167
Picked011
Done011
Total11510125

Merged error: 0b

Counts
125 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
5.9b
(cbrt (/ y (* (cbrt a) (cbrt a))))
5.9b
(cbrt (/ y (* (cbrt a) (cbrt a))))
5.9b
(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
52×cbrt-prod
51×times-frac
42×*-un-lft-identity
34×associate-*r*
30×add-cube-cbrt
10×associate-*l*
9×add-exp-log unswap-sqr
6×pow1 add-cbrt-cube distribute-lft-out-- difference-of-squares
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 117
Calls
4 calls:
21.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
5.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
5.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
5.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

series938.0ms

Counts
4 → 12
Calls
4 calls:
510.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
144.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
144.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
140.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify48.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04161324
116281248
250021241

prune537.0ms

Filtered
129 candidates to 109 candidates (84.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1281129
Fresh167
Picked011
Done112
Total1309139

Merged error: 0b

Counts
139 → 9

localize26.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (cbrt (/ y (cbrt a))) (/ (- z t) (cbrt a)))
3.7b
(cbrt (/ y (cbrt a)))
5.9b
(cbrt (/ y (* (cbrt a) (cbrt a))))
5.9b
(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
107×cbrt-prod
102×add-sqr-sqrt
86×times-frac
64×*-un-lft-identity
52×add-cube-cbrt
34×associate-*r*
25×associate-*l*
12×unswap-sqr
9×add-exp-log
6×pow1 add-cbrt-cube distribute-lft-out-- difference-of-squares
5×cbrt-div div-inv
4×add-log-exp
3×pow1/3
2×prod-exp cbrt-unprod
1×cbrt-undiv frac-times associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative
Counts
4 → 150
Calls
4 calls:
24.0ms
(* (cbrt (/ y (cbrt a))) (/ (- z t) (cbrt a)))
3.0ms
(cbrt (/ y (cbrt a)))
5.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
5.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

series897.0ms

Counts
4 → 12
Calls
4 calls:
425.0ms
(* (cbrt (/ y (cbrt a))) (/ (- z t) (cbrt a)))
173.0ms
(cbrt (/ y (cbrt a)))
150.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
148.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify61.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05431496
119921429
250011422

prune791.0ms

Filtered
162 candidates to 141 candidates (87.0%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1611162
Fresh156
Picked011
Done022
Total1629171

Merged error: 0b

Counts
171 → 9

regimes451.0ms

Accuracy

85.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

sample598.0ms

Algorithm
intervals
Results
296.0ms10686×body80valid