Details

Time bar (total: 4.3s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.9b
(- (* (* z 2.0) z) (* y t))
22.5b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite59.0ms

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:
29.0ms
(- 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)))

series302.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms
(- (* (* z 2.0) z) (* y t))
181.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify80.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05061970
123921402
250021401

prune233.0ms

Filtered
98 candidates to 63 candidates (64.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.9b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
0.9b
(- (* 2.0 (pow z 2)) (* t y))
5.6b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
17.7b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log times-frac add-cbrt-cube
15×associate-*r*
9×pow1
8×add-log-exp
6×prod-exp cbrt-unprod
4×expm1-log1p-u flip3-- fma-neg prod-diff associate-/r/ flip-- log1p-expm1-u
3×cbrt-undiv div-exp pow-prod-down associate-/r* associate-/l*
2×sub-neg diff-log div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
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)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
39.0ms
(- (* 2.0 (pow z 2)) (* t y))
176.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
65.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04351047
12138914
25001909

prune321.0ms

Filtered
116 candidates to 84 candidates (72.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.9b

localize17.0ms

Local error

Found 4 expressions with local error:

14.4b
(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
17.7b
(/ z (- (* 2.0 (pow z 2)) (* t y)))
17.7b
(/ z (- (* 2.0 (pow z 2)) (* t y)))
17.7b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×times-frac
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
6×associate-/r/
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
1×cbrt-prod cbrt-div pow1/3 associate-*r/
Counts
4 → 105
Calls
4 calls:
9.0ms
(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
9.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series474.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(cbrt (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
47.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
51.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))
48.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify45.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03611077
11191990
25001984

prune492.0ms

Filtered
117 candidates to 95 candidates (81.2%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.9b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b
(- (* (* z 2.0) z) (* y t))
5.7b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.6b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite78.0ms

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:
30.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
16.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series361.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms
(- (* (* z 2.0) z) (* y t))
185.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify140.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
08363783
137452919
250012916

prune415.0ms

Filtered
181 candidates to 120 candidates (66.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.7b

regimes135.0ms

Accuracy

0% (0.8b remaining)

Error of 3.0b against oracle of 2.2b and baseline of 3.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1228
2228

end0.0ms

sample531.0ms

Algorithm
intervals
Results
317.0ms8000×body80valid