Details

Time bar (total: 3.8s)

sample25.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify36.0ms

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: 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)))

rewrite23.0ms

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))))
4.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series305.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms
(- (* (* z 2.0) z) (* y t))
180.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify48.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0318564
11519493
25002493

prune147.0ms

Pruning

6 alts after pruning (5 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)

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)))
5.0ms
(- (* (* z 2.0) z) (* y t))
8.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series363.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
38.0ms
(- (* (* z 2.0) z) (* y t))
186.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04721105
12263993
25002988

prune307.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.1b

localize12.0ms

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)))))
4.2b
(/ (* t y) z)
4.8b
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

rewrite29.0ms

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:
4.0ms
(- (* 2.0 z) (/ (* t y) z))
8.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
4.0ms
(/ (* t y) z)
9.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

series305.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* 2.0 z) (/ (* t y) z))
72.0ms
(- x (/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z)))))
19.0ms
(/ (* t y) z)
174.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (/ (* t y) z))))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0399618
11947528
25001527

prune200.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.7b

localize16.0ms

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) (* 1 (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z))))))

rewrite35.0ms

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×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 → 106
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
8.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z))))))

series627.0ms

Counts
4 → 12
Calls
4 calls:
183.0ms
(cbrt z)
181.0ms
(cbrt z)
53.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
209.0ms
(/ (* y 2.0) (* 1 (- (* 2.0 z) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z))))))

simplify81.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06331100
13447862
25001815

prune367.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.7b

regimes193.0ms

Accuracy

0% (1.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12513
22513

end0.0ms

sample542.0ms

Algorithm
intervals
Results
331.0ms8000×body80valid