Details

Time bar (total: 6.0s)

sample26.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.1b
(- (* (* z 2.0) z) (* y t))
19.5b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite140.0ms

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:
73.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
19.0ms
(- (* (* z 2.0) z) (* y t))
45.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series278.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms
(- (* (* z 2.0) z) (* y t))
167.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify81.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05061970
123921402
250021401

prune539.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 3.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.1b
(- (* (* z 2.0) z) (* y t))
5.7b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.8b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite155.0ms

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:
55.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
18.0ms
(- (* (* z 2.0) z) (* y t))
33.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
42.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series323.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
34.0ms
(- (* (* z 2.0) z) (* y t))
163.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
49.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify125.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
08363783
137442919
250022916

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.3b

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))
5.1b
(/ (* t y) z)
5.7b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite79.0ms

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:
31.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
10.0ms
(- (* 2.0 z) (/ (* t y) z))
9.0ms
(/ (* t y) z)
25.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series281.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
35.0ms
(- (* 2.0 z) (/ (* t y) z))
18.0ms
(/ (* t y) z)
160.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify95.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
06351781
131001162
250031159

prune500.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
3.5b
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
5.7b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z))))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log
37×add-sqr-sqrt
30×add-cbrt-cube
29×times-frac
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity
17×cbrt-prod
15×prod-exp
13×div-exp
12×cbrt-unprod
11×cbrt-undiv
7×associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*r/ div-inv
2×pow1/3 1-exp associate-/r/
1×frac-times flip3-- frac-2neg pow-prod-down associate-*l/ clear-num associate-/r* *-commutative flip-- associate-/l*
Counts
4 → 114
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
42.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
24.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z))))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt z)
178.0ms
(cbrt z)
45.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
194.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z))))))

simplify83.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
06411150
13457911
25001864

prune658.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (1.1b remaining)

Error of 1.7b against oracle of 0.6b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12513
22513

end0.0ms

sample559.0ms

Algorithm
intervals
Results
350.0ms8000×body80valid