Details

Time bar (total: 3.9s)

sample43.0ms

Algorithm
intervals
Results
19.0ms369×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.0b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.2b
(- (* x y) (* (* z 9.0) t))
6.6b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
4.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series35.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(* (* z 9.0) t)
12.0ms
(- (* x y) (* (* z 9.0) t))
19.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify46.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0326399
11408341
25002341

prune129.0ms

Filtered
63 candidates to 44 candidates (30.2%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New521163
Fresh000
Picked101
Done000
Total531164

Merged error: 6.6b

Counts
64 → 11

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.9b
(/ (* t z) a)
5.2b
(/ (* x y) a)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
5.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
4.0ms
(/ (* t z) a)
4.0ms
(/ (* x y) a)

series41.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
6.0ms
(* 4.5 (/ (* t z) a))
5.0ms
(/ (* t z) a)
5.0ms
(/ (* x y) a)

simplify53.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0381486
11921419
25001419

prune139.0ms

Filtered
95 candidates to 62 candidates (34.7%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New88795
Fresh5510
Picked101
Done000
Total9412106

Merged error: 0.5b

Counts
106 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.7b
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
5.2b
(/ (* x y) a)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
33×add-cbrt-cube
22×associate-*r*
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
17×prod-exp cbrt-unprod
15×cbrt-prod
10×cbrt-undiv div-exp
9×pow1
4×add-log-exp
3×associate-*r/ pow-prod-down associate-/r*
2×pow1/3 div-inv
1×frac-times frac-2neg associate-*l* associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
13.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series63.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
22.0ms
(cbrt a)
14.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
5.0ms
(/ (* x y) a)

simplify77.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
0560782
12965642
25001620

prune137.0ms

Filtered
107 candidates to 72 candidates (32.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1061107
Fresh2911
Picked101
Done000
Total10910119

Merged error: 0.0b

Counts
119 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
3.7b
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
3.9b
(* x (/ y a))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
41×add-exp-log
35×associate-*r*
33×add-cbrt-cube
32×add-sqr-sqrt
28×times-frac
27×add-cube-cbrt *-un-lft-identity
18×prod-exp cbrt-unprod
15×cbrt-prod
11×pow1
9×cbrt-undiv div-exp
4×associate-*r/ associate-*l* pow-prod-down add-log-exp
2×pow1/3 *-commutative div-inv unswap-sqr
1×frac-times associate-*l/
Counts
4 → 106
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
7.0ms
(* x (/ y a))

series63.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt a)
24.0ms
(cbrt a)
12.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
5.0ms
(* x (/ y a))

simplify79.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
0615830
13187690
25002668

prune106.0ms

Filtered
118 candidates to 81 candidates (31.4%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh099
Picked011
Done000
Total11711128

Merged error: 0.0b

Counts
128 → 11

regimes1.6s

Accuracy

43.5% (4.4b remaining)

Error of 4.4b against oracle of 0.0b and baseline of 7.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06099
16099

end0.0ms

sample1.1s

Algorithm
intervals
Results
457.0ms11125×body80valid

Profiling

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