Details

Time bar (total: 4.1s)

sample33.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.3b
(- (* (* z 2.0) z) (* y t))
16.3b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite45.0ms

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))
16.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
37.0ms
(- (* (* z 2.0) z) (* y t))
191.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune157.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.2b

localize16.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
20.5b
(cbrt (- (* (* z 2.0) z) (* y t)))
20.5b
(cbrt (- (* (* z 2.0) z) (* y t)))
20.5b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite45.0ms

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)))
9.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
6.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series778.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
119.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
303.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
127.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify50.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
04361040
11466920
25001905

prune314.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.3b
(- (* (* z 2.0) z) (* y t))
8.1b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
13.2b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite59.0ms

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:
20.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
6.0ms
(- (* (* z 2.0) z) (* y t))
13.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series356.0ms

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))
181.0ms
(/ (* 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

prune295.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 2.0 z) (/ (* t y) z))
0.0b
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
4.2b
(/ (* t y) z)
8.1b
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt add-log-exp
6×times-frac associate-/r*
4×pow1 cbrt-undiv div-exp
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num associate-/r/ cbrt-unprod div-inv associate-/l*
1×distribute-lft-out-- difference-of-squares
Counts
4 → 70
Calls
4 calls:
3.0ms
(- (* 2.0 z) (/ (* t y) z))
12.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
3.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (* 2.0 z) (/ (* t y) z))
67.0ms
(- x (/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z))))
19.0ms
(/ (* t y) z)
171.0ms
(/ (* y 2.0) (- (* 2.0 z) (/ (* t y) z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0332566
11474506
25002506

prune174.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.8b

regimes111.0ms

Accuracy

0% (2.1b remaining)

Error of 2.6b against oracle of 0.5b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample818.0ms

Algorithm
intervals
Results
610.0ms8000×body80valid