Details

Time bar (total: 3.3s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 13.6b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

1.8b
(- (* (* z 2.0) z) (* y t))
22.5b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite15.0ms

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))
9.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series223.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(- (* (* z 2.0) z) (* y t))
186.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify42.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0281415
11422344
25002344

prune107.0ms

Filtered
49 candidates to 36 candidates (73.5%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New45449
Fresh000
Picked101
Done000
Total46450

Merged error: 5.0b

Counts
50 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

1.8b
(- (* (* z 2.0) z) (* y t))
4.1b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
21.0b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite34.0ms

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:
8.0ms
(- (* (* z 2.0) z) (* y t))
14.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series289.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(- (* (* z 2.0) z) (* y t))
184.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
64.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify85.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0438968
12164856
25002849

prune240.0ms

Filtered
105 candidates to 80 candidates (76.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1023105
Fresh213
Picked101
Done000
Total1054109

Merged error: 3.0b

Counts
109 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

4.1b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
7.1b
(/ (* t y) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
1×flip3-- flip--
Counts
2 → 48
Calls
2 calls:
7.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms
(/ (* t y) z)

series195.0ms

Counts
2 → 6
Calls
2 calls:
177.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
19.0ms
(/ (* t y) z)

simplify36.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0265322
11274272
25001272

prune100.0ms

Filtered
54 candidates to 38 candidates (70.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New52254
Fresh213
Picked101
Done000
Total55358

Merged error: 0.5b

Counts
58 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt z)
0.5b
(* (cbrt z) (cbrt z))
3.9b
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.1b
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
32×add-exp-log
31×times-frac
30×cbrt-prod add-cube-cbrt *-un-lft-identity
28×associate-*r*
23×add-cbrt-cube
13×pow1 associate-*l*
10×prod-exp cbrt-unprod unswap-sqr
9×cbrt-undiv div-exp
7×pow1/3
6×swap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down associate-/r* div-inv
2×associate-/r/ pow-sqr *-commutative pow-prod-up
1×pow2 frac-times flip3-- frac-2neg pow-plus associate-*r/ associate-*l/ clear-num flip-- associate-/l*
Counts
4 → 141
Calls
4 calls:
1.0ms
(cbrt z)
6.0ms
(* (cbrt z) (cbrt z))
17.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series630.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(cbrt z)
192.0ms
(* (cbrt z) (cbrt z))
51.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
207.0ms
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify97.0ms

Algorithm
egg-herbie
Counts
153 → 153
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
06421242
137051023
25001978

prune334.0ms

Filtered
153 candidates to 111 candidates (72.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1530153
Fresh022
Picked011
Done000
Total1533156

Merged error: 0.5b

Counts
156 → 3

regimes105.0ms

Accuracy

0% (0.5b remaining)

Error of 1.7b against oracle of 1.1b and baseline of 1.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812
11812

end0.0ms

sample602.0ms

Algorithm
intervals
Results
388.0ms8000×body80valid