Details

Time bar (total: 24.6s)

sample4.1s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 18.75%

Guaranteed chance to sample good point: 31.820913%

Results
25.0ms256×body80valid
18.0ms191×body80nan

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.0b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (sqrt (+ t a)))
0.3b
(/ 2.0 (* t 3.0))
1.8b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.8b
(/ (* z (sqrt (+ t a))) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
20×frac-sub
16×add-exp-log add-cbrt-cube
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
9×flip3-- flip--
8×frac-times associate-*r/
7×associate-*r*
6×pow1 times-frac associate--r+ add-log-exp
5×flip3-+ sqrt-prod flip-+
4×cbrt-undiv sqrt-div div-exp associate-/r* associate-/l*
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* prod-exp cbrt-unprod
2×frac-2neg associate-*l/ associate--l+ clear-num div-inv associate-/l/ unswap-sqr
1×diff-log pow-prod-down *-commutative distribute-lft-out
Counts
4 → 101
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
4.0ms
(/ 2.0 (* t 3.0))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms
(/ (* z (sqrt (+ t a))) t)

series84.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* z (sqrt (+ t a)))
2.0ms
(/ 2.0 (* t 3.0))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
20.0ms
(/ (* z (sqrt (+ t a))) t)

simplify39.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010121260
150011212

prune228.0ms

Filtered
88 candidates to 113 candidates (-28.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1103113
Fresh000
Picked101
Done000
Total1113114

Merged error: 0.5b

Counts
114 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(* (cbrt t) (cbrt t))
1.7b
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
1.8b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
60×frac-sub
58×times-frac
54×*-un-lft-identity
52×associate-*r*
44×cbrt-prod
42×add-cube-cbrt
39×frac-times
28×sqrt-prod
27×add-exp-log associate-*r/
25×flip3-- flip--
21×associate-*l/
18×add-cbrt-cube
14×unswap-sqr
13×pow1 associate-*l*
9×flip3-+ prod-exp cbrt-unprod flip-+
7×cbrt-undiv pow1/3 div-exp
6×swap-sqr distribute-lft-out associate--r+ add-log-exp
3×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down
2×associate--l+ pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus diff-log
Counts
4 → 198
Calls
4 calls:
1.0ms
(cbrt t)
6.0ms
(* (cbrt t) (cbrt t))
22.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
21.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt t)
26.0ms
(* (cbrt t) (cbrt t))
22.0ms
(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
62.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify70.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
018293794
150013655

prune578.0ms

Filtered
153 candidates to 210 candidates (-37.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2091210
Fresh112
Picked011
Done000
Total2103213

Merged error: 0.5b

Counts
213 → 3

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(* (cbrt t) (cbrt t))
4.5b
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.2b
(log (exp (cbrt t)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-sub
38×frac-times
26×associate-*r/
25×flip3-- flip--
24×add-sqr-sqrt
22×cbrt-prod
20×associate-*l/
16×add-cube-cbrt *-un-lft-identity
12×pow1
9×flip3-+ flip-+
7×pow1/3 log-pow
6×add-exp-log exp-prod swap-sqr associate-*r* associate-*l* associate--r+ add-log-exp
4×add-cbrt-cube unswap-sqr
3×distribute-rgt-in sub-neg log-prod distribute-lft-in
2×pow-prod-down associate--l+ pow-sqr pow-prod-up
1×pow2 pow-plus diff-log rem-log-exp prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
1.0ms
(cbrt t)
6.0ms
(* (cbrt t) (cbrt t))
21.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.0ms
(log (exp (cbrt t)))

series130.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt t)
25.0ms
(* (cbrt t) (cbrt t))
60.0ms
(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (log (exp (cbrt t))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
22.0ms
(log (exp (cbrt t)))

simplify55.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013882874
150022803

prune339.0ms

Filtered
116 candidates to 141 candidates (-21.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1410141
Fresh011
Picked011
Done011
Total1413144

Merged error: 0.5b

Counts
144 → 3

localize33.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
2.7b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
6.8b
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
30.7b
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
766×associate-*l/
764×associate-*r/
524×frac-sub
498×flip3-- flip--
364×frac-times
240×sqrt-div
162×associate-/l/
120×flip3-+ flip-+
28×add-exp-log add-cbrt-cube
16×distribute-rgt-in distribute-lft-in
14×pow1
12×prod-exp cbrt-unprod
9×sub-neg
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate--r+
7×associate-*l*
6×pow-prod-down add-log-exp
4×cbrt-undiv div-exp
3×times-frac associate-/l*
2×associate-*r* associate-/r/ *-commutative
1×frac-2neg diff-log div-sub clear-num associate-/r* div-inv difference-of-squares
Counts
4 → 437
Calls
4 calls:
7.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
18.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
40.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
57.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

series496.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
47.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
175.0ms
(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
266.0ms
(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))

simplify316.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 1 (95.0ms)

IterNodesCost
0464024427
1500124209

prune10.6s

Filtered
410 candidates to 449 candidates (-9.5%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4472449
Fresh000
Picked011
Done112
Total4484452

Merged error: 0.2b

Counts
452 → 4

regimes695.0ms

Accuracy

0% (2.5b remaining)

Error of 2.9b against oracle of 0.3b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03922
13922

end0.0ms

sample6.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 18.75%

Guaranteed chance to sample good point: 31.820913%

Results
801.0ms8000×body80valid
498.0ms5035×body80nan

Profiling

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