Details

Time bar (total: 3.3s)

sample21.0ms

Algorithm
intervals
Results
9.0ms343×body80valid

simplify121.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0144
1273
2623
31123
41703
52133
62603
74503
88453
915323
1031383
1145873
1250013

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 1 expressions with local error:

2.4b
(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y x) (/ z t) x)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(fma (- y x) (/ z t) x)

simplify47.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
04169
18662
225753
3124853
4500353

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.0b
(* (- y x) (/ z t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod log1p-expm1-u 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 → 56
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
16.0ms
(* (- y x) (/ z t))

series81.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* (- y x) (/ z t)))
45.0ms
(* (- y x) (/ z t))

simplify43.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0306327
11283301
25002286

prune148.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
3.0b
(* (cbrt (- y x)) (/ z t))
3.2b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
58×flip3-- flip--
40×associate-*l/
31×add-sqr-sqrt
30×add-exp-log
27×associate-*r/
21×*-un-lft-identity
18×pow1 add-cbrt-cube
17×cbrt-prod
15×add-cube-cbrt prod-exp cbrt-unprod
14×associate-*r*
11×times-frac
9×associate-*l* pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 160
Calls
4 calls:
2.0ms
(cbrt (- y x))
2.0ms
(cbrt (- y x))
17.0ms
(* (cbrt (- y x)) (/ z t))
51.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series551.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(cbrt (- y x))
151.0ms
(cbrt (- y x))
200.0ms
(* (cbrt (- y x)) (/ z t))
47.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify93.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
08172098
126981903
250031841

prune443.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.3b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.5b
(cbrt (/ z t))
10.5b
(cbrt (/ z t))
10.5b
(cbrt (/ z t))

rewrite39.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u 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 → 106
Calls
4 calls:
31.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series320.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
67.0ms
(cbrt (/ z t))
67.0ms
(cbrt (/ z t))
63.0ms
(cbrt (/ z t))

simplify90.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0351805
1953733
23478721
35001697

prune362.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes227.0ms

Accuracy

35.6% (1.4b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0158
1158

end0.0ms

sample538.0ms

Algorithm
intervals
Results
281.0ms10701×body80valid