Details

Time bar (total: 4.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

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))
17.0b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite62.0ms

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:
34.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
7.0ms
(- (* (* z 2.0) z) (* y t))
18.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
44.0ms
(- (* (* z 2.0) z) (* y t))
191.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify85.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05061970
123921402
250021401

prune232.0ms

Filtered
98 candidates to 63 candidates (64.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.0b

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))
5.6b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite83.0ms

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:
31.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
7.0ms
(- (* (* z 2.0) z) (* y t))
19.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series379.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
43.0ms
(- (* (* z 2.0) z) (* y t))
194.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
59.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify130.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08363783
137452919
250012916

prune458.0ms

Filtered
181 candidates to 120 candidates (66.3%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
0.0b
(- (* 2.0 z) (/ (* t y) z))
4.8b
(/ (* t y) z)
5.6b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
28×prod-diff
26×add-exp-log
21×add-sqr-sqrt *-un-lft-identity add-cbrt-cube
19×add-cube-cbrt
10×times-frac
8×associate-*r/ div-exp prod-exp associate-/r/ add-log-exp
6×cbrt-undiv flip3-- flip-- div-inv
5×cbrt-unprod
4×pow1 expm1-log1p-u fma-neg associate-/r* log1p-expm1-u
2×sub-neg frac-2neg diff-log 1-exp clear-num associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 112
Calls
4 calls:
11.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
5.0ms
(- (* 2.0 z) (/ (* t y) z))
7.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series313.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
45.0ms
(- (* 2.0 z) (/ (* t y) z))
20.0ms
(/ (* t y) z)
180.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify92.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06351781
131001162
250031159

prune281.0ms

Filtered
124 candidates to 75 candidates (60.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
0.0b
(- (* 2.0 z) (/ t (/ z y)))
5.6b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))
6.5b
(/ t (/ z y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
94×add-sqr-sqrt *-un-lft-identity
92×add-cube-cbrt
65×prod-diff
26×add-exp-log
21×add-cbrt-cube
14×associate-/r*
13×div-inv
10×associate-/r/
9×div-exp
8×associate-*r/ add-log-exp
7×cbrt-undiv prod-exp
6×flip3-- flip--
4×pow1 expm1-log1p-u fma-neg cbrt-unprod log1p-expm1-u associate-/l*
2×sub-neg frac-2neg diff-log 1-exp clear-num
1×distribute-lft-out-- difference-of-squares
Counts
4 → 198
Calls
4 calls:
14.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
16.0ms
(- (* 2.0 z) (/ t (/ z y)))
16.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))
5.0ms
(/ t (/ z y))

series322.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y))))))
40.0ms
(- (* 2.0 z) (/ t (/ z y)))
187.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ t (/ z y)))))
21.0ms
(/ t (/ z y))

simplify61.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
014233384
150012477

prune536.0ms

Filtered
210 candidates to 139 candidates (66.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.5b

regimes112.0ms

Accuracy

0% (0.5b remaining)

Error of 1.0b against oracle of 0.5b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1228
2228

end0.0ms

sample512.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid