Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.0b

localize14.0ms

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))
21.4b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite46.0ms

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:
21.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
6.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
41.0ms
(- (* (* z 2.0) z) (* y t))
192.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0318564
11519493
25002493

prune144.0ms

Pruning

6 alts after pruning (5 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))
7.3b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.6b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite65.0ms

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:
24.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
6.0ms
(- (* (* z 2.0) z) (* y t))
14.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series372.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
38.0ms
(- (* (* z 2.0) z) (* y t))
194.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify61.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04721105
12263993
25002988

prune286.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
5.3b
(/ (* t y) z)
7.3b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
20×add-cbrt-cube
8×div-exp prod-exp
7×add-sqr-sqrt *-un-lft-identity
6×cbrt-undiv
5×add-cube-cbrt cbrt-unprod add-log-exp
4×times-frac associate-/r*
3×pow1
2×flip3-- frac-2neg 1-exp associate-*r/ clear-num associate-/r/ flip-- div-inv associate-/l*
1×sub-neg diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
8.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
3.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series281.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
24.0ms
(/ (* t y) z)
188.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0376515
11869433
25001433

prune148.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
4.8b
(* t (/ y z))
7.3b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
20×add-cbrt-cube
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt times-frac
9×prod-exp
7×div-exp
6×cbrt-unprod
5×pow1 cbrt-undiv add-log-exp
3×associate-*r/ associate-*l*
2×flip3-- 1-exp associate-/r/ flip-- div-inv unswap-sqr
1×sub-neg frac-2neg diff-log pow-prod-down clear-num associate-/r* *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 71
Calls
3 calls:
8.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
7.0ms
(* t (/ y z))
10.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

series279.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z))))))
19.0ms
(* t (/ y z))
188.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* t (/ y z)))))

simplify52.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0433563
12112481
25001481

prune165.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.2b

regimes160.0ms

Accuracy

56.3% (0.8b remaining)

Error of 1.3b against oracle of 0.5b and baseline of 2.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03824
14024
24024

end0.0ms

sample516.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid