Details

Time bar (total: 3.6s)

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune2.0ms

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)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
3×pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
2×sub-neg diff-log associate-/r/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 51
Calls
3 calls:
8.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
5.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series324.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
43.0ms
(- (* (* z 2.0) z) (* y t))
193.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune163.0ms

Pruning

9 alts after pruning (9 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)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×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×flip3-- associate-/r/ flip--
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 → 88
Calls
4 calls:
3.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms
(- (* 2.0 (pow z 2)) (* t y))
10.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
40.0ms
(- (* 2.0 (pow z 2)) (* t y))
192.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
53.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0391883
11978774
25003773

prune279.0ms

Pruning

10 alts after pruning (10 fresh and 0 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)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
18×add-exp-log add-cbrt-cube
16×associate-/r*
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub associate-/r/ distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
10.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms
(- (* (* 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)

series376.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
43.0ms
(- (* (* z 2.0) z) (* y t))
189.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify66.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04721105
12263993
25002988

prune303.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 z) (/ (* t y) z))
0.0b
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
4.1b
(/ (* t y) z)
5.7b
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
57×add-sqr-sqrt
50×*-un-lft-identity
48×add-cube-cbrt
16×associate-/r*
14×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv
5×cbrt-undiv div-exp
4×pow1 associate-/l*
3×difference-of-squares
2×sub-neg flip3-- frac-2neg diff-log clear-num flip--
1×prod-exp associate-/r/ cbrt-unprod distribute-lft-out--
Counts
4 → 119
Calls
4 calls:
4.0ms
(- (* 2.0 z) (/ (* t y) z))
16.0ms
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
4.0ms
(/ (* t y) z)
8.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

series321.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* 2.0 z) (/ (* t y) z))
73.0ms
(- x (/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0)))
20.0ms
(/ (* t y) z)
183.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

simplify61.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05511284
123101219
250011218

prune355.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.7b

regimes114.0ms

Accuracy

0% (1.8b remaining)

Error of 2.3b against oracle of 0.5b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample513.0ms

Algorithm
intervals
Results
301.0ms8000×body80valid