Details

Time bar (total: 3.6s)

sample31.0ms

Algorithm
intervals
Results
19.0ms256×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: 12.4b

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))
19.8b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite49.0ms

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:
22.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
9.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series302.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
36.0ms
(- (* (* z 2.0) z) (* y t))
181.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune154.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

localize16.0ms

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))
4.3b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
19.1b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite31.0ms

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:
2.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
3.0ms
(- (* 2.0 (pow z 2)) (* t y))
17.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series362.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
39.0ms
(- (* 2.0 (pow z 2)) (* t y))
184.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
53.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0391883
11978774
25003773

prune269.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.4b

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))
4.3b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.9b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite64.0ms

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:
21.0ms
(- 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))
20.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series351.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms
(- (* (* z 2.0) z) (* y t))
176.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify68.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04721105
12263993
25002988

prune287.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 z) (/ (* t y) z))
0.0b
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
4.3b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
6.0b
(/ (* t y) z)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
21×add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity div-exp prod-exp add-log-exp
6×cbrt-undiv add-cube-cbrt
5×cbrt-unprod
4×pow1 times-frac associate-/r*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log 1-exp associate-*r/ clear-num associate-/r/ div-inv associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 72
Calls
4 calls:
3.0ms
(- (* 2.0 z) (/ (* t y) z))
8.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
10.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
3.0ms
(/ (* t y) z)

series292.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* 2.0 z) (/ (* t y) z))
68.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
167.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))
18.0ms
(/ (* t y) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0399618
11947528
25001527

prune179.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

regimes95.0ms

Accuracy

0% (1.0b remaining)

Error of 1.5b against oracle of 0.5b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12513
22513

end0.0ms

sample807.0ms

Algorithm
intervals
Results
600.0ms8000×body80valid