Details

Time bar (total: 4.2s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify37.0ms

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: 12.6b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.0b
(- (* (* z 2.0) z) (* y t))
19.6b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite26.0ms

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:
9.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series315.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
38.0ms
(- (* (* z 2.0) z) (* y t))
191.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify82.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05061970
123921402
250021401

prune233.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.0b
(- (* (* z 2.0) z) (* y t))
4.8b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.7b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite40.0ms

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:
12.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series382.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
40.0ms
(- (* (* z 2.0) z) (* y t))
194.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
60.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify128.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
08363783
137452919
250012916

prune441.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
0.0b
(- (* 2.0 z) (/ (* t y) z))
4.2b
(/ (* t y) z)
4.8b
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

rewrite33.0ms

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:
12.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
5.0ms
(- (* 2.0 z) (/ (* t y) z))
5.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
39.0ms
(- (* 2.0 z) (/ (* t y) z))
19.0ms
(/ (* t y) z)
180.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

simplify84.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06101989
128211406
250021405

prune272.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
3.9b
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.8b
(/ (* y 2.0) (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
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 associate-/r/
1×frac-times flip3-- frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-- associate-/l*
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
14.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms
(/ (* y 2.0) (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series614.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
176.0ms
(cbrt z)
53.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
209.0ms
(/ (* y 2.0) (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify74.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05771106
13052915
25002867

prune377.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.7b

regimes123.0ms

Accuracy

0% (1.1b remaining)

Error of 1.8b against oracle of 0.7b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812
11812

end0.0ms

sample515.0ms

Algorithm
intervals
Results
312.0ms8000×body80valid