Details

Time bar (total: 2.9s)

sample17.0ms

Algorithm
intervals
Results
7.0ms267×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173

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: 3.7b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
3.7b
(/ x (- y (* z t)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- y (* z t))
36.0ms
(/ x (- y (* z t)))

simplify106.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
0157244
1479225
21401225
34323224
45001224

prune99.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New40747
Fresh000
Picked011
Done000
Total40848

Merged error: 3.5b

Counts
48 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.2b
(/ 1 (- y (* z t)))
3.7b
(* x (/ 1 (- y (* z t))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 83
Calls
3 calls:
3.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
8.0ms
(* x (/ 1 (- y (* z t))))

series104.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- y (* z t))
45.0ms
(/ 1 (- y (* z t)))
32.0ms
(* x (/ 1 (- y (* z t))))

simplify68.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0264479
11071416
23863386
35001386

prune125.0ms

Filtered
92 candidates to 53 candidates (57.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New90292
Fresh336
Picked011
Done011
Total937100

Merged error: 3.5b

Counts
100 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.7b
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
7.7b
(cbrt (/ 1 (- y (* z t))))
7.7b
(cbrt (/ 1 (- y (* z t))))
7.7b
(cbrt (/ 1 (- y (* z t))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×associate-*r/ add-log-exp
3×flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 94
Calls
4 calls:
13.0ms
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
4.0ms
(cbrt (/ 1 (- y (* z t))))
4.0ms
(cbrt (/ 1 (- y (* z t))))
4.0ms
(cbrt (/ 1 (- y (* z t))))

series471.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
116.0ms
(cbrt (/ 1 (- y (* z t))))
111.0ms
(cbrt (/ 1 (- y (* z t))))
113.0ms
(cbrt (/ 1 (- y (* z t))))

simplify94.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
03621059
11005988
23636947
35001887

prune226.0ms

Filtered
106 candidates to 68 candidates (64.2%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1051106
Fresh044
Picked011
Done022
Total1058113

Merged error: 3.5b

Counts
113 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
7.7b
(cbrt (- y (* z t)))
7.7b
(cbrt (- y (* z t)))
7.7b
(cbrt (- y (* z t)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
9×add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity flip--
8×associate-/r/
7×add-cbrt-cube
4×pow1 frac-times add-log-exp
3×times-frac pow1/3 associate-/l*
2×cbrt-undiv associate-*r/ div-exp associate-*l/
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 68
Calls
4 calls:
9.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))
2.0ms
(cbrt (- y (* z t)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ x (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))))
110.0ms
(cbrt (- y (* z t)))
115.0ms
(cbrt (- y (* z t)))
110.0ms
(cbrt (- y (* z t)))

simplify77.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0326723
1859668
22913652
35003652

prune240.0ms

Filtered
80 candidates to 70 candidates (87.5%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New80080
Fresh044
Picked011
Done033
Total80888

Merged error: 3.5b

Counts
88 → 8

regimes213.0ms

Accuracy

0% (0.1b remaining)

Error of 2.8b against oracle of 2.7b and baseline of 2.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample407.0ms

Algorithm
intervals
Results
197.0ms8386×body80valid