Details

Time bar (total: 10.0s)

sample118.0ms

Algorithm
intervals
Results
31.0ms593×body80nan
28.0ms563×body80valid

simplify75.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0259
1419
2889
31659
42879
56259
620149
750029

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: 0.3b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* t t) 2.0)
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.0b
(exp (/ (* t t) 2.0))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube
14×add-exp-log
13×add-sqr-sqrt
11×pow1 add-cube-cbrt *-un-lft-identity
7×exp-prod associate-*r*
6×times-frac associate-*l/
5×prod-exp cbrt-unprod add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r*
2×cbrt-undiv flip3-- div-exp *-commutative flip-- div-inv
1×frac-2neg clear-num sqrt-prod rem-exp-log associate-/l* unswap-sqr
Counts
4 → 77
Calls
4 calls:
4.0ms
(/ (* t t) 2.0)
11.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
2.0ms
(exp (/ (* t t) 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* t t) 2.0)
188.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
21.0ms
(exp (/ (* t t) 2.0))
146.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0413610
11743532
25002532

prune388.0ms

Filtered
89 candidates to 67 candidates (24.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh000
Picked101
Done000
Total81990

Merged error: 0.0b

Counts
90 → 9

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
0.0b
(pow (exp t) (/ t 2.0))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×add-exp-log add-cube-cbrt *-un-lft-identity
13×pow-unpow
11×associate-*r*
10×prod-exp add-cbrt-cube
9×times-frac
6×pow1 unpow-prod-down associate-*l/
4×pow-pow associate-*l* cbrt-unprod
3×pow-to-exp exp-prod pow-exp add-log-exp
2×flip3-- *-commutative flip-- sqr-pow
1×pow-prod-down sqrt-prod div-inv unswap-sqr
Counts
3 → 77
Calls
3 calls:
10.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
4.0ms
(pow (exp t) (/ t 2.0))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series393.0ms

Counts
3 → 9
Calls
3 calls:
213.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
54.0ms
(pow (exp t) (/ t 2.0))
126.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify54.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0465659
11969601
25001601

prune369.0ms

Filtered
86 candidates to 64 candidates (25.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New85186
Fresh088
Picked101
Done000
Total86995

Merged error: 0.0b

Counts
95 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (exp t) (/ t 2.0)))
0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))))
0.0b
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
59×cbrt-prod
46×add-sqr-sqrt
25×pow1
23×unpow-prod-down
20×add-exp-log add-cube-cbrt *-un-lft-identity
17×unswap-sqr
15×associate-*r*
14×associate-*l* add-cbrt-cube
13×sqr-pow
11×pow-prod-down
10×swap-sqr prod-exp cbrt-unprod
7×pow1/3
6×associate-*l/
4×add-log-exp
3×*-commutative
2×flip3-- pow-sqr pow-prod-up flip--
1×pow2 pow-plus sqrt-prod
Counts
4 → 124
Calls
4 calls:
2.0ms
(cbrt (pow (exp t) (/ t 2.0)))
15.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))))
10.0ms
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series925.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(cbrt (pow (exp t) (/ t 2.0)))
343.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0)))))
236.0ms
(* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (pow (exp t) (/ t 2.0))))
133.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify70.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04601658
118871497
250021414

prune712.0ms

Filtered
136 candidates to 90 candidates (33.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1351136
Fresh088
Picked101
Done000
Total1369145

Merged error: 0.0b

Counts
145 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (sqrt (pow (exp t) (/ t 2.0))))) (cbrt (sqrt (pow (exp t) (/ t 2.0))))))
0.0b
(cbrt (pow (exp t) (/ t 2.0)))
0.0b
(cbrt (pow (exp t) (/ t 2.0)))
0.2b
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×pow1 add-exp-log
19×add-cbrt-cube
16×pow-prod-down prod-exp cbrt-unprod
14×cbrt-prod
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
6×unpow-prod-down associate-*l/
5×associate-*r*
4×associate-*l* add-log-exp
2×flip3-- pow1/3 *-commutative flip-- sqr-pow
1×sqrt-prod unswap-sqr
Counts
4 → 81
Calls
4 calls:
22.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (sqrt (pow (exp t) (/ t 2.0))))) (cbrt (sqrt (pow (exp t) (/ t 2.0))))))
2.0ms
(cbrt (pow (exp t) (/ t 2.0)))
2.0ms
(cbrt (pow (exp t) (/ t 2.0)))
8.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series921.0ms

Counts
4 → 12
Calls
4 calls:
351.0ms
(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (* (cbrt (pow (exp t) (/ t 2.0))) (cbrt (sqrt (pow (exp t) (/ t 2.0))))) (cbrt (sqrt (pow (exp t) (/ t 2.0))))))
213.0ms
(cbrt (pow (exp t) (/ t 2.0)))
217.0ms
(cbrt (pow (exp t) (/ t 2.0)))
139.0ms
(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify64.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04381347
117981082
250021062

prune411.0ms

Filtered
93 candidates to 66 candidates (29.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh088
Picked011
Done000
Total939102

Merged error: 0.0b

Counts
102 → 9

regimes1.5s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02827
12827

end0.0ms

sample3.3s

Algorithm
intervals
Results
940.0ms18144×body80valid
920.0ms18195×body80nan

Profiling

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