Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize15.0ms

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)))

rewrite24.0ms

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 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
2 → 37
Calls
2 calls:
6.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series231.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (* (* z 2.0) z) (* y t))
190.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify40.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0265383
11370314
25002313

prune118.0ms

Pruning

9 alts after pruning (9 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)))

rewrite29.0ms

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 flip3-- div-exp pow-prod-down associate-/r* flip-- associate-/l*
2×div-inv
1×sub-neg frac-2neg diff-log associate-*r/ associate-*l* clear-num *-commutative
Counts
3 → 76
Calls
3 calls:
3.0ms
(- (* 2.0 (pow z 2)) (* t y))
17.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series294.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (* 2.0 (pow z 2)) (* t y))
195.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
57.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0341730
11766623
25002621

prune229.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize34.0ms

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)))

rewrite50.0ms

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 frac-times div-exp prod-exp cbrt-unprod 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 → 68
Calls
4 calls:
28.0ms
(/ (* (cbrt z) (cbrt z)) (* (cbrt (- (* 2.0 (pow z 2)) (* t y))) (cbrt (- (* 2.0 (pow z 2)) (* t y)))))
5.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
5.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
8.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

series558.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ (* (cbrt z) (cbrt z)) (* (cbrt (- (* 2.0 (pow z 2)) (* t y))) (cbrt (- (* 2.0 (pow z 2)) (* t y)))))
122.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
125.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
139.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

simplify115.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
03781089
11208939
24610890
35001872

prune394.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 5.6b

localize28.0ms

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)))

rewrite12.0ms

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 flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
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)))

series490.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
121.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
124.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))
124.0ms
(cbrt (- (* 2.0 (pow z 2)) (* t y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0170668
1509624
21731616
35002596

prune353.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 5.6b

regimes202.0ms

Accuracy

10.9% (1.7b remaining)

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

bsearch52.0ms

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

sample525.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid