Details

Time bar (total: 17.1s)

sample96.0ms

Algorithm
intervals
Results
26.0ms270×body80nan
24.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05017
110617
237417
3165217
4500117

prune6.0ms

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: 5.8b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 2.0 (* t 3.0))
0.3b
(* z (sqrt (+ t a)))
4.1b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.3b
(/ (* z (sqrt (+ t a))) t)

rewrite35.0ms

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:
5.0ms
(/ 2.0 (* t 3.0))
7.0ms
(* z (sqrt (+ t a)))
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:
2.0ms
(/ 2.0 (* t 3.0))
13.0ms
(* z (sqrt (+ t a)))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms
(/ (* z (sqrt (+ t a))) t)

simplify40.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010121260
150011212

prune246.0ms

Filtered
113 candidates to 88 candidates (22.1%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1094113
Fresh000
Picked101
Done000
Total1104114

Merged error: 1.0b

Counts
114 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
3.7b
(log (exp (/ (* z (sqrt (+ t a))) t)))
4.3b
(/ (* z (sqrt (+ t a))) t)
7.3b
(- (log (exp (/ (* z (sqrt (+ t a))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
11×add-exp-log add-cbrt-cube
8×log-pow
7×pow1 exp-prod associate-*r*
6×log-prod times-frac associate--r+
5×associate--l+ sqrt-prod add-log-exp
4×sqrt-div associate-*r/
3×distribute-rgt-in sub-neg distribute-lft-in associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×flip3-- frac-2neg diff-log rem-log-exp pow-prod-down clear-num *-commutative flip-- distribute-lft-out associate-/l*
Counts
4 → 88
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
3.0ms
(log (exp (/ (* z (sqrt (+ t a))) t)))
8.0ms
(/ (* z (sqrt (+ t a))) t)
8.0ms
(- (log (exp (/ (* z (sqrt (+ t a))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series101.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* z (sqrt (+ t a)))
17.0ms
(log (exp (/ (* z (sqrt (+ t a))) t)))
20.0ms
(/ (* z (sqrt (+ t a))) t)
52.0ms
(- (log (exp (/ (* z (sqrt (+ t a))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0510848
12125780
25001776

prune190.0ms

Filtered
100 candidates to 78 candidates (22.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1000100
Fresh033
Picked011
Done000
Total1004104

Merged error: 1.0b

Counts
104 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* z (sqrt (+ t a)))
4.0b
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
4.3b
(/ (* z (sqrt (+ t a))) t)
4.4b
(log (exp (/ 2.0 (* t 3.0))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
12×add-cube-cbrt
11×add-exp-log add-cbrt-cube
8×log-pow frac-sub
7×pow1 exp-prod flip3-- associate-*r* flip--
6×times-frac associate-*r/ associate--r+ add-log-exp
5×sqrt-prod
4×frac-times sqrt-div
3×distribute-rgt-in sub-neg log-prod distribute-lft-in associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp associate-*l/ prod-exp associate--l+ cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
1×frac-2neg diff-log rem-log-exp pow-prod-down clear-num *-commutative distribute-lft-out associate-/l*
Counts
4 → 93
Calls
4 calls:
7.0ms
(* z (sqrt (+ t a)))
12.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.0ms
(/ (* z (sqrt (+ t a))) t)
4.0ms
(log (exp (/ 2.0 (* t 3.0))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(* z (sqrt (+ t a)))
50.0ms
(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
19.0ms
(/ (* z (sqrt (+ t a))) t)
2.0ms
(log (exp (/ 2.0 (* t 3.0))))

simplify96.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (82.0ms)

IterNodesCost
07881089
139361002
25002997

prune220.0ms

Filtered
105 candidates to 81 candidates (22.9%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh022
Picked011
Done011
Total1054109

Merged error: 1.0b

Counts
109 → 4

localize34.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
4.9b
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
6.1b
(- (* (* 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)))))
24.4b
(/ (- (* (* 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))))

rewrite206.0ms

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))))
35.0ms
(- (* (* 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)))))
62.0ms
(/ (- (* (* 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))))

series490.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
49.0ms
(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
176.0ms
(- (* (* 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)))))
258.0ms
(/ (- (* (* 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))))

simplify312.0ms

Algorithm
egg-herbie
Counts
449 → 449
Iterations

Useful iterations: 1 (96.0ms)

IterNodesCost
0464024427
1500124209

prune11.0s

Filtered
449 candidates to 410 candidates (8.7%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4472449
Fresh011
Picked011
Done022
Total4476453

Merged error: 0.1b

Counts
453 → 6

regimes941.0ms

Accuracy

62.9% (4.4b remaining)

Error of 4.6b against oracle of 0.2b and baseline of 12.1b

bsearch120.0ms

Steps
ItersRangePoint
8
7.145264954836782e-07
0.00023074962464678155
0.00022874885640107262
6
-6.617791743837898e-25
-5.68984172280391e-26
-1.7718520040248119e-25

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07653
17653

end0.0ms

sample2.6s

Algorithm
intervals
Results
775.0ms8000×body80valid
727.0ms7771×body80nan

Profiling

Loading profile data...