Details

Time bar (total: 4.5s)

sample31.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.3b
(- (* (* z 2.0) z) (* y t))
16.3b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
23×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
12×add-exp-log times-frac add-cbrt-cube
8×associate-/r/
7×add-log-exp
6×flip3-- flip--
4×fma-neg div-inv
3×pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r* cbrt-unprod log1p-expm1-u
2×sub-neg diff-log
1×frac-2neg clear-num associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
32.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series310.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms
(- (* (* z 2.0) z) (* y t))
187.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify84.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05061970
123921402
250021401

prune231.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.2b

localize15.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
20.5b
(cbrt (- (* (* z 2.0) z) (* y t)))
20.5b
(cbrt (- (* (* z 2.0) z) (* y t)))
20.5b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×add-exp-log
12×add-cbrt-cube
9×cbrt-prod flip3-- flip--
8×associate-/r/
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:
22.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
10.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
239.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
124.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
127.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
125.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04481102
11520984
25002964

prune353.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.3b
(- (* (* z 2.0) z) (* y t))
8.1b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
13.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
71×add-sqr-sqrt *-un-lft-identity
69×add-cube-cbrt
55×prod-diff
18×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 expm1-log1p-u fma-neg associate-/r/ log1p-expm1-u associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub distribute-lft-out-- difference-of-squares
Counts
4 → 169
Calls
4 calls:
29.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
10.0ms
(- (* (* z 2.0) z) (* y t))
14.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series367.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms
(- (* (* z 2.0) z) (* y t))
188.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify129.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08363783
137452919
250012916

prune431.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z 2.0) (/ (* t y) z))
0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.2b
(/ (* t y) z)
8.1b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
34×prod-diff
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
18×times-frac
14×add-exp-log add-cbrt-cube
8×associate-/r/ add-log-exp
6×flip3-- associate-/r* flip-- div-inv
4×pow1 cbrt-undiv expm1-log1p-u fma-neg div-exp log1p-expm1-u
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 116
Calls
4 calls:
4.0ms
(- (* z 2.0) (/ (* t y) z))
21.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
3.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series309.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* z 2.0) (/ (* t y) z))
71.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
19.0ms
(/ (* t y) z)
178.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify88.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
06131989
128471406
250011405

prune276.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

regimes113.0ms

Accuracy

0% (2.1b remaining)

Error of 2.6b against oracle of 0.5b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample831.0ms

Algorithm
intervals
Results
604.0ms8000×body80valid