Details

Time bar (total: 5.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms348×body80valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series81.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* y (- z t))
48.0ms
(/ (* y (- z t)) a)

simplify32.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune125.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New49655
Fresh000
Picked011
Done000
Total49756

Merged error: 0.0b

Counts
56 → 7

localize11.0ms

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)))

rewrite25.0ms

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)
18.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series618.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt a)
171.0ms
(cbrt a)
168.0ms
(cbrt a)
89.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune336.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1142116
Fresh145
Picked011
Done011
Total1158123

Merged error: 0b

Counts
123 → 8

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:
20.0ms
(* (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))))

series946.0ms

Counts
4 → 12
Calls
4 calls:
512.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
144.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
146.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
143.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify53.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04161324
116281248
250021241

prune491.0ms

Filtered
129 candidates to 109 candidates (84.5%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1281129
Fresh145
Picked011
Done022
Total1298137

Merged error: 0b

Counts
137 → 8

localize28.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (cbrt (/ y (* (cbrt a) (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))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
77×add-sqr-sqrt
76×cbrt-prod
66×times-frac
53×*-un-lft-identity
41×add-cube-cbrt
34×associate-*r*
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 → 132
Calls
4 calls:
17.0ms
(* (cbrt (/ y (* (cbrt a) (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))))

series965.0ms

Counts
4 → 12
Calls
4 calls:
515.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
161.0ms
(cbrt (/ y (cbrt a)))
140.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
148.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify57.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05061441
118721369
250011362

prune691.0ms

Filtered
144 candidates to 123 candidates (85.4%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1440144
Fresh044
Picked011
Done033
Total1448152

Merged error: 0b

Counts
152 → 8

regimes392.0ms

Accuracy

85.7% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 3.3b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02616
12616

end0.0ms

sample615.0ms

Algorithm
intervals
Results
302.0ms10686×body80valid