Details

Time bar (total: 3.4s)

sample24.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0278
1638
21498
33588
48408
550018

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 11.5b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* (* z 2.0) z) (* y t))
19.5b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite16.0ms

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 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
1×sub-neg frac-2neg fma-neg diff-log prod-diff clear-num div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
5.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series226.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (* (* z 2.0) z) (* y t))
186.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify43.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0281415
11422344
25002344

prune125.0ms

Filtered
49 candidates to 36 candidates (73.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New43649
Fresh000
Picked101
Done000
Total44650

Merged error: 4.4b

Counts
50 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
23.5b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.5b
(cbrt (- (* (* z 2.0) z) (* y t)))
23.5b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite31.0ms

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 expm1-log1p-u frac-times div-exp prod-exp cbrt-unprod log1p-expm1-u 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 → 76
Calls
4 calls:
15.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
122.0ms
(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)))

simplify49.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04481102
11520984
25002964

prune330.0ms

Filtered
88 candidates to 75 candidates (85.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New88088
Fresh055
Picked011
Done000
Total88694

Merged error: 4.4b

Counts
94 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b
(- (* (* z 2.0) z) (* y t))
5.2b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
17.6b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite24.0ms

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 expm1-log1p-u log1p-expm1-u
2×flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/
1×sub-neg fma-neg diff-log div-sub prod-diff associate-/r/
Counts
3 → 96
Calls
3 calls:
5.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series281.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (* (* z 2.0) z) (* y t))
185.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
55.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0438968
12164856
25002849

prune284.0ms

Filtered
105 candidates to 80 candidates (76.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1023105
Fresh224
Picked101
Done011
Total1056111

Merged error: 1.9b

Counts
111 → 6

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 2.0 z) (/ (* t y) z))
4.6b
(/ (* t y) z)
5.2b
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
49×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/r*
13×add-exp-log add-cbrt-cube
7×prod-diff div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num
1×sub-neg flip3-- fma-neg diff-log prod-exp associate-/r/ flip-- cbrt-unprod
Counts
3 → 117
Calls
3 calls:
5.0ms
(- (* 2.0 z) (/ (* t y) z))
5.0ms
(/ (* t y) z)
9.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

series238.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (* 2.0 z) (/ (* t y) z))
19.0ms
(/ (* t y) z)
175.0ms
(/ y (/ (- (* 2.0 z) (/ (* t y) z)) 2.0))

simplify71.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05951235
127541123
250021123

prune313.0ms

Filtered
126 candidates to 95 candidates (75.4%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1242126
Fresh224
Picked101
Done101
Total1284132

Merged error: 0.5b

Counts
132 → 4

regimes86.0ms

Accuracy

0% (1.9b remaining)

Error of 2.4b against oracle of 0.5b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample517.0ms

Algorithm
intervals
Results
314.0ms8000×body80valid