Details

Time bar (total: 3.6s)

sample21.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize12.0ms

Local error

Found 2 expressions with local error:

1.4b
(- (* (* z 2.0) z) (* y t))
21.0b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-undiv times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×pow1 flip3-- associate-/r/ flip--
1×sub-neg frac-2neg diff-log clear-num div-inv associate-/l*
Counts
2 → 37
Calls
2 calls:
6.0ms
(- (* (* z 2.0) z) (* y t))
17.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series233.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(- (* (* z 2.0) z) (* y t))
191.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0265383
11370314
25002313

prune122.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.4b

localize15.0ms

Local error

Found 4 expressions with local error:

5.7b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
23.6b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.6b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.6b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×add-exp-log
12×add-cbrt-cube
9×cbrt-prod flip3-- flip--
8×associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv frac-times div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
22.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
8.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series613.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
124.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
126.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
123.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04361040
11466920
25001905

prune340.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 5.4b

localize12.0ms

Local error

Found 3 expressions with local error:

1.4b
(- (* (* z 2.0) z) (* y t))
4.4b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
16×associate-/r*
7×cbrt-undiv div-exp
5×add-log-exp
4×div-inv associate-/l*
3×pow1
2×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/
1×sub-neg diff-log div-sub associate-/r/
Counts
3 → 88
Calls
3 calls:
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)

series281.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (* (* z 2.0) z) (* y t))
186.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
57.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0419924
12101814
25001809

prune275.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.8b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 2.0 z) (/ (* t y) z))
4.4b
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
5.9b
(/ (* t y) z)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
13×add-exp-log add-cbrt-cube
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×pow1
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log prod-exp associate-/r/ flip-- cbrt-unprod
Counts
3 → 103
Calls
3 calls:
3.0ms
(- (* 2.0 z) (/ (* t y) z))
9.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
3.0ms
(/ (* t y) z)

series235.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(- (* 2.0 z) (/ (* t y) z))
174.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))
19.0ms
(/ (* t y) z)

simplify57.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04881081
121461018
250021017

prune312.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 1.2b

regimes174.0ms

Accuracy

27.3% (1.3b remaining)

Error of 1.8b against oracle of 0.5b and baseline of 2.3b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03623
13623

end0.0ms

sample512.0ms

Algorithm
intervals
Results
308.0ms8000×body80valid