Details

Time bar (total: 5.7s)

sample24.0ms

Algorithm
intervals
Results
9.0ms332×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.3b
(/ (* y (- z t)) a)

rewrite18.0ms

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:
10.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series84.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
46.0ms
(/ (* y (- z t)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0231226
11033189
25002189

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.3b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite42.0ms

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:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)
37.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt a)
172.0ms
(cbrt a)
168.0ms
(cbrt a)
89.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0480918
12615741
25001706

prune315.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite44.0ms

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:
29.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
3.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
3.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
3.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

series947.0ms

Counts
4 → 12
Calls
4 calls:
507.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
152.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
149.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
138.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify46.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04161324
116281248
250021241

prune465.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

1.7b
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
3.5b
(cbrt (/ y (cbrt a)))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))
7.5b
(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite41.0ms

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:
27.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
2.0ms
(cbrt (/ y (cbrt a)))
3.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
3.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

series972.0ms

Counts
4 → 12
Calls
4 calls:
511.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
161.0ms
(cbrt (/ y (cbrt a)))
155.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
144.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify57.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05061441
118721369
250011362

prune660.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes360.0ms

Accuracy

86.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.1b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02212
12212

end0.0ms

sample656.0ms

Algorithm
intervals
Results
310.0ms10762×body80valid