Details

Time bar (total: 4.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms331×body80valid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2584
3964
41314
51554
61794
73104
86434
911714
1024824
1137744
1250024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.4b
(* (- y x) (/ z t))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
9.0ms
(* (- y x) (/ z t))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (* (- y x) (/ z t)))
46.0ms
(* (- y x) (/ z t))

simplify38.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0296310
11245287
25001275

prune128.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
13.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series302.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
62.0ms
(cbrt (/ z t))
59.0ms
(cbrt (/ z t))
62.0ms
(cbrt (/ z t))

simplify86.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0338774
1926705
23350693
35001669

prune368.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
2.0b
(* (- y x) (* (/ (cbrt z) (cbrt t)) (cbrt (/ z t))))
10.4b
(cbrt (/ z t))
10.4b
(cbrt (/ z t))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
29×cbrt-prod
22×add-sqr-sqrt *-un-lft-identity
20×add-cube-cbrt
18×times-frac
13×add-exp-log
9×pow1 frac-times add-cbrt-cube
8×cbrt-div
6×associate-*r/
5×associate-*l* associate-*l/ prod-exp cbrt-unprod
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down
2×div-inv
1×cbrt-undiv div-exp associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt t)
14.0ms
(* (- y x) (* (/ (cbrt z) (cbrt t)) (cbrt (/ z t))))
2.0ms
(cbrt (/ z t))
3.0ms
(cbrt (/ z t))

series431.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt t)
119.0ms
(* (- y x) (* (/ (cbrt z) (cbrt t)) (cbrt (/ z t))))
62.0ms
(cbrt (/ z t))
63.0ms
(cbrt (/ z t))

simplify45.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0406719
11364640
25001634

prune397.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ (* (cbrt z) (cbrt z)) 1))
2.0b
(* (- y x) (* (/ (cbrt z) (cbrt t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t)))))
4.4b
(cbrt (/ (cbrt z) t))
10.4b
(cbrt (/ z t))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
51×cbrt-prod
30×times-frac
29×add-sqr-sqrt frac-times *-un-lft-identity
27×add-cube-cbrt cbrt-div
22×add-exp-log associate-*r/
14×add-cbrt-cube
13×pow1
11×associate-*l/ prod-exp cbrt-unprod
8×flip3-- flip--
6×pow-prod-down
5×associate-*l*
4×add-log-exp
3×pow1/3 div-inv
2×cbrt-undiv div-exp
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
5.0ms
(cbrt (/ (* (cbrt z) (cbrt z)) 1))
20.0ms
(* (- y x) (* (/ (cbrt z) (cbrt t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t)))))
3.0ms
(cbrt (/ (cbrt z) t))
3.0ms
(cbrt (/ z t))

series696.0ms

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt (/ (* (cbrt z) (cbrt z)) 1))
172.0ms
(* (- y x) (* (/ (cbrt z) (cbrt t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t)))))
180.0ms
(cbrt (/ (cbrt z) t))
65.0ms
(cbrt (/ z t))

simplify82.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07081534
126991346
250021329

prune656.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes270.0ms

Accuracy

2% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch73.0ms

Steps
ItersRangePoint
8
-3.058996228144634e-308
7.40523796490698e-305
1.6257691218099716e-308
9
-1.2338451977441667e-217
-3.431816103547695e-225
-8.642194578993728e-224

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0248
1248

end0.0ms

sample553.0ms

Algorithm
intervals
Results
276.0ms10577×body80valid