Details

Time bar (total: 5.4s)

sample23.0ms

Algorithm
intervals
Results
10.0ms343×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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

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)

series84.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
50.0ms
(/ (* y (- z t)) a)

simplify34.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0231226
11033189
25002189

prune123.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
7.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite27.0ms

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)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series600.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(cbrt a)
165.0ms
(cbrt a)
176.0ms
(cbrt a)
92.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify60.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0480918
12615741
25001706

prune358.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
8.2b
(cbrt (/ y (* (cbrt a) (cbrt a))))
8.2b
(cbrt (/ y (* (cbrt a) (cbrt a))))
8.2b
(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite38.0ms

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:
18.0ms
(* (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))))

series1.1s

Counts
4 → 12
Calls
4 calls:
503.0ms
(* (cbrt (/ y (* (cbrt a) (cbrt a)))) (/ (- z t) (cbrt a)))
144.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
143.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
274.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify53.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04161324
116281248
250021241

prune527.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (* (cbrt (/ y (* (cbrt a) (cbrt a)))) (cbrt (/ y (* (cbrt a) (cbrt a))))) (* (* (cbrt (/ y (* (cbrt a) (cbrt a)))) (- z t)) (/ 1 (cbrt a))))
8.2b
(cbrt (/ y (* (cbrt a) (cbrt a))))
8.2b
(cbrt (/ y (* (cbrt a) (cbrt a))))
8.2b
(cbrt (/ y (* (cbrt a) (cbrt a))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
85×frac-times
79×cbrt-div
77×add-exp-log
51×prod-exp
45×associate-*r/
44×associate-*l/
27×add-cbrt-cube cbrt-unprod
25×pow1
21×cbrt-prod
16×flip3-- flip--
15×pow-prod-down
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×div-exp
4×cbrt-undiv rec-exp 1-exp un-div-inv add-log-exp
3×pow1/3 div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 143
Calls
4 calls:
25.0ms
(* (* (cbrt (/ y (* (cbrt a) (cbrt a)))) (cbrt (/ y (* (cbrt a) (cbrt a))))) (* (* (cbrt (/ y (* (cbrt a) (cbrt a)))) (- z t)) (/ 1 (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))))

series501.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(* (* (cbrt (/ y (* (cbrt a) (cbrt a)))) (cbrt (/ y (* (cbrt a) (cbrt a))))) (* (* (cbrt (/ y (* (cbrt a) (cbrt a)))) (- z t)) (/ 1 (cbrt a))))
145.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
147.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))
147.0ms
(cbrt (/ y (* (cbrt a) (cbrt a))))

simplify104.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (84.0ms)

IterNodesCost
08172864
135662276
250022052

prune427.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 0b

regimes549.0ms

Accuracy

38.7% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.5b

bsearch82.0ms

Steps
ItersRangePoint
8
9.47231962830241e-197
7.921473498639323e-193
7.809854763613243e-193
9
-2894.650105080296
-0.007295393535134763
-2486.642887294508

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

sample626.0ms

Algorithm
intervals
Results
315.0ms10694×body80valid