Details

Time bar (total: 8.0s)

sample39.0ms

Algorithm
intervals
Results
13.0ms353×body80valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0266
1896
22776
37356
414366
517146
617306
717306

prune5.0ms

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: 6.3b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
5.9b
(/ (- (* 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:
5.0ms
(* (* z 9.0) t)
3.0ms
(- (* x y) (* (* z 9.0) t))
7.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series159.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(* (* z 9.0) t)
60.0ms
(- (* x y) (* (* z 9.0) t))
75.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0326399
11408341
25002341

prune210.0ms

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: 5.9b

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)))
0.3b
(* 4.5 (/ (* t z) a))
5.5b
(/ (* t z) a)
6.0b
(/ (* x y) a)

rewrite21.0ms

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)

series207.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
31.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* t z) a)
24.0ms
(/ (* x y) a)

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0381486
11921419
25001419

prune346.0ms

Filtered
95 candidates to 62 candidates (34.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New89695
Fresh5510
Picked101
Done000
Total9511106

Merged error: 0.7b

Counts
106 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
2.2b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.0b
(/ (* x y) a)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
4.0ms
(/ (* x y) a)

series483.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt a)
200.0ms
(cbrt a)
60.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
22.0ms
(/ (* x y) a)

simplify70.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0521766
12741611
25001574

prune888.0ms

Filtered
114 candidates to 86 candidates (24.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1122114
Fresh3710
Picked101
Done000
Total1169125

Merged error: 0.0b

Counts
125 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
2.2b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.3b
(/ x (/ a y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
103×times-frac
79×add-sqr-sqrt
63×add-cube-cbrt *-un-lft-identity
30×add-exp-log
23×add-cbrt-cube
22×associate-*r*
17×cbrt-prod
13×associate-/r*
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
7×associate-*l* div-inv
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num associate-/r/ *-commutative
Counts
4 → 151
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.0ms
(/ x (/ a y))

series504.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(cbrt a)
207.0ms
(cbrt a)
63.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
24.0ms
(/ x (/ a y))

simplify83.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07341133
13670951
25001906

prune2.0s

Filtered
163 candidates to 128 candidates (21.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1603163
Fresh088
Picked101
Done000
Total16111172

Merged error: 0.0b

Counts
172 → 11

regimes1.8s

Accuracy

82.9% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 7.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05043
15043

end0.0ms

sample1.0s

Algorithm
intervals
Results
435.0ms11227×body80valid

Profiling

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