Details

Time bar (total: 3.9s)

sample25.0ms

Algorithm
intervals
Results
8.0ms356×body80valid

simplify43.0ms

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: 5.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.5b
(/ (* y (- z t)) a)

rewrite40.0ms

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

series94.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
55.0ms
(/ (* y (- z t)) a)

simplify36.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0231226
11033189
25002189

prune114.0ms

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)
2.8b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite65.0ms

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)
59.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series661.0ms

Counts
4 → 12
Calls
4 calls:
192.0ms
(cbrt a)
184.0ms
(cbrt a)
189.0ms
(cbrt a)
96.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify64.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0480918
12615741
25001706

prune429.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
6.5b
(* (* y (- z t)) (/ 1 a))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
18×associate-*r*
16×add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-- flip--
2×cbrt-undiv distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*l/ *-commutative add-log-exp
1×un-div-inv div-inv distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
20.0ms
(* y (- z t))
40.0ms
(* (* y (- z t)) (/ 1 a))

series92.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* y (- z t))
54.0ms
(* (* y (- z t)) (/ 1 a))

simplify48.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0358362
11927294
25001282

prune148.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

6.5b
(/ (* y (- z t)) a)
7.0b
(cbrt (/ (* y (- z t)) a))
7.0b
(cbrt (/ (* y (- z t)) a))
7.0b
(cbrt (/ (* y (- z t)) a))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×cbrt-undiv associate-*r/ div-exp associate-/l/
1×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l*
Counts
4 → 71
Calls
4 calls:
15.0ms
(/ (* y (- z t)) a)
9.0ms
(cbrt (/ (* y (- z t)) a))
6.0ms
(cbrt (/ (* y (- z t)) a))
6.0ms
(cbrt (/ (* y (- z t)) a))

series398.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(/ (* y (- z t)) a)
115.0ms
(cbrt (/ (* y (- z t)) a))
113.0ms
(cbrt (/ (* y (- z t)) a))
114.0ms
(cbrt (/ (* y (- z t)) a))

simplify96.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0248551
1904503
24206491
35002479

prune263.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes450.0ms

Accuracy

92.3% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02212
12212

end0.0ms

sample682.0ms

Algorithm
intervals
Results
266.0ms10661×body80valid