Details

Time bar (total: 3.9s)

sample20.0ms

Algorithm
intervals
Results
8.0ms289×body80valid

simplify48.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

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: 10.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) t)
11.2b
(/ (* (- y z) t) (- a z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
6.0ms
(* (- y z) t)
8.0ms
(/ (* (- y z) t) (- a z))

series88.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (- y z) t)
61.0ms
(/ (* (- y z) t) (- a z))

simplify34.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0256263
11188226
25001226

prune109.0ms

Filtered
57 candidates to 40 candidates (70.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New52557
Fresh000
Picked011
Done000
Total52658

Merged error: 0.0b

Counts
58 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
4.2b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
32×cbrt-prod
30×associate-*r*
25×add-exp-log
24×add-cube-cbrt
20×cbrt-div
18×add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 122
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
27.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series548.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (- a z))
150.0ms
(cbrt (- a z))
168.0ms
(cbrt (- a z))
91.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify69.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06071409
125871256
250031191

prune373.0ms

Filtered
134 candidates to 107 candidates (79.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1331134
Fresh044
Picked101
Done011
Total1346140

Merged error: 0b

Counts
140 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (- a z)))
0.6b
(cbrt (cbrt (- a z)))
0.6b
(cbrt (cbrt (- a z)))
4.2b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z))))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
132×cbrt-div
58×add-exp-log
39×cbrt-prod
38×add-cbrt-cube
36×flip3-- flip--
34×associate-/r/
33×frac-times associate-*r*
26×add-sqr-sqrt
25×prod-exp cbrt-unprod
22×*-un-lft-identity
17×cbrt-undiv div-exp associate-*l* associate-*l/
14×add-cube-cbrt
11×associate-*r/
9×times-frac
6×pow1
4×distribute-lft-out-- add-log-exp difference-of-squares
3×pow1/3
2×div-inv unswap-sqr
1×pow-prod-down *-commutative
Counts
4 → 142
Calls
4 calls:
4.0ms
(cbrt (cbrt (- a z)))
4.0ms
(cbrt (cbrt (- a z)))
3.0ms
(cbrt (cbrt (- a z)))
43.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z))))))

series595.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt (cbrt (- a z)))
151.0ms
(cbrt (cbrt (- a z)))
153.0ms
(cbrt (cbrt (- a z)))
100.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (* (* (cbrt (cbrt (- a z))) (cbrt (cbrt (- a z)))) (cbrt (cbrt (- a z))))))

simplify89.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
08422726
133142048
250021941

prune508.0ms

Filtered
154 candidates to 107 candidates (69.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1540154
Fresh044
Picked011
Done011
Total1546160

Merged error: 0b

Counts
160 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) t)
12.3b
(/ (- y z) (/ (- a z) t))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 flip3-- frac-2neg div-sub clear-num flip-- add-log-exp
1×associate-/r/
Counts
2 → 175
Calls
2 calls:
5.0ms
(/ (- a z) t)
11.0ms
(/ (- y z) (/ (- a z) t))

series119.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- a z) t)
93.0ms
(/ (- y z) (/ (- a z) t))

simplify72.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07021608
127591557
250021556

prune324.0ms

Filtered
181 candidates to 119 candidates (65.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1801181
Fresh303
Picked011
Done022
Total1834187

Merged error: 0b

Counts
187 → 4

regimes147.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample518.0ms

Algorithm
intervals
Results
259.0ms8711×body80valid
0.0ms1×body640valid
0.0ms1×body160valid