Details

Time bar (total: 3.9s)

sample24.0ms

Algorithm
intervals
Results
10.0ms356×body80valid

simplify41.0ms

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: 7.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z t))
7.6b
(/ (* y (- z t)) a)

rewrite17.0ms

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:
9.0ms
(* y (- z t))
6.0ms
(/ (* y (- z t)) a)

series83.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* y (- z t))
48.0ms
(/ (* y (- z t)) a)

simplify33.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0231226
11033189
25002189

prune113.0ms

Pruning

6 alts after pruning (5 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)
5.0b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite39.0ms

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)
0.0ms
(cbrt a)
33.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series631.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt a)
175.0ms
(cbrt a)
178.0ms
(cbrt a)
91.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify63.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0480918
12615741
25001706

prune336.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
1.6b
(* y (/ (- z t) (cbrt a)))
3.6b
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
36×*-un-lft-identity
34×associate-*r*
33×times-frac
30×add-exp-log
24×add-cube-cbrt
22×cbrt-prod
21×add-cbrt-cube
9×cbrt-undiv div-exp prod-exp cbrt-unprod
6×pow1 distribute-lft-out-- difference-of-squares
4×add-log-exp
3×associate-*l* unswap-sqr
2×pow1/3 associate-*r/ div-inv
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
4 → 102
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
19.0ms
(* y (/ (- z t) (cbrt a)))
10.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

series583.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt a)
172.0ms
(cbrt a)
149.0ms
(* y (/ (- z t) (cbrt a)))
84.0ms
(/ (* y (/ (- z t) (cbrt a))) (* (cbrt a) (cbrt a)))

simplify58.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0456748
12321627
25001585

prune307.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
5.0ms
(/ a (- z t))
10.0ms
(/ y (/ a (- z t)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ a (- z t))
57.0ms
(/ y (/ a (- z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04811051
121901013
250011004

prune341.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes248.0ms

Accuracy

61.9% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.5b

bsearch80.0ms

Steps
ItersRangePoint
7
2.117967555245603e-67
3.754585379720712e-65
2.802493622680903e-65
7
6.457032755266867e-178
1.0401945779023752e-176
4.635648024362553e-177
4
-3.5910297667123854e-46
-1.804737031004153e-46
-2.9481876431266308e-46

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03118
13118

end0.0ms

sample617.0ms

Algorithm
intervals
Results
297.0ms10786×body80valid