Details

Time bar (total: 4.1s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize12.0ms

Local error

Found 2 expressions with local error:

1.6b
(- (* (* z 2.0) z) (* y t))
20.0b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg fma-neg diff-log prod-diff clear-num div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
7.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series228.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(- (* (* z 2.0) z) (* y t))
190.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0281415
11422344
25002344

prune141.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.6b

localize12.0ms

Local error

Found 3 expressions with local error:

1.6b
(- (* 2.0 (pow z 2)) (* t y))
4.9b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
18.0b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
17×add-exp-log add-cbrt-cube
15×associate-*r*
8×pow1
6×prod-exp cbrt-unprod
5×add-log-exp
4×associate-/r/
3×cbrt-undiv expm1-log1p-u flip3-- div-exp pow-prod-down associate-/r* flip-- log1p-expm1-u associate-/l*
2×div-inv
1×sub-neg frac-2neg fma-neg diff-log associate-*r/ associate-*l* prod-diff clear-num *-commutative
Counts
3 → 84
Calls
3 calls:
4.0ms
(- (* 2.0 (pow z 2)) (* t y))
18.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series284.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (* 2.0 (pow z 2)) (* t y))
188.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
52.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0359774
11818665
25001661

prune256.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize20.0ms

Local error

Found 4 expressions with local error:

10.7b
(/ (* (cbrt z) (cbrt z)) (* (cbrt (- (* 2.0 (pow z 2)) (* t y))) (cbrt (- (* 2.0 (pow z 2)) (* t y)))))
22.5b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
22.5b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
22.5b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×add-exp-log
9×cbrt-prod flip3-- flip--
8×associate-/r/ add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv expm1-log1p-u frac-times div-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 76
Calls
4 calls:
16.0ms
(/ (* (cbrt z) (cbrt z)) (* (cbrt (- (* 2.0 (pow z 2)) (* t y))) (cbrt (- (* 2.0 (pow z 2)) (* t y)))))
3.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
3.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
3.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

series546.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(/ (* (cbrt z) (cbrt z)) (* (cbrt (- (* 2.0 (pow z 2)) (* t y))) (cbrt (- (* 2.0 (pow z 2)) (* t y)))))
121.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
122.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
126.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

simplify116.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
03891156
112631005
24892957
35001957

prune410.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.6b

localize25.0ms

Local error

Found 4 expressions with local error:

22.5b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
22.5b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
22.5b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
22.5b
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u flip3-- pow1/3 add-cbrt-cube flip-- log1p-expm1-u add-log-exp
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
3.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
3.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
3.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
127.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
126.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
127.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0178716
1548672
21937664
35001644

prune426.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.6b

regimes179.0ms

Accuracy

11% (1.7b remaining)

Error of 6.5b against oracle of 4.9b and baseline of 6.7b

bsearch51.0ms

Steps
ItersRangePoint
7
-3.5312898780318224e+198
-8.252640278270582e+196
-2.571271473462903e+197

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03229
13229

end0.0ms

sample516.0ms

Algorithm
intervals
Results
311.0ms8000×body80valid