Details

Time bar (total: 6.2s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify102.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
17110
218410
338110
468210
5110210
6212210
7433710
8500110

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 28.4b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
2.3b
(+ (* (+ x y) z) (* (+ t y) a))
2.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.6b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
6.0ms
(* (+ t y) a)
7.0ms
(+ (* (+ x y) z) (* (+ t y) a))
10.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
19.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series751.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (+ t y) a)
46.0ms
(+ (* (+ x y) z) (* (+ t y) a))
97.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
584.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify63.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05201087
123081025
250031025

prune293.0ms

Filtered
102 candidates to 76 candidates (74.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New939102
Fresh000
Picked101
Done000
Total949103

Merged error: 9.5b

Counts
103 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
2.3b
(+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a)))
2.4b
(- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b))
26.6b
(/ (- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b)) (+ (+ x t) y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
12×associate-*l/ distribute-lft-out
11×add-log-exp
6×add-exp-log flip3-+ add-cbrt-cube flip-+
5×associate-/r*
4×pow1 frac-add
3×cbrt-prod associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg pow1/3 div-sub div-exp associate--l+ clear-num div-inv
Counts
4 → 80
Calls
4 calls:
1.0ms
(cbrt a)
9.0ms
(+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a)))
15.0ms
(- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b))
17.0ms
(/ (- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b)) (+ (+ x t) y))

series1.1s

Counts
4 → 12
Calls
4 calls:
186.0ms
(cbrt a)
100.0ms
(+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a)))
167.0ms
(- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b))
656.0ms
(/ (- (+ (* (+ x y) z) (* (* (+ t y) (* (cbrt a) (cbrt a))) (cbrt a))) (* y b)) (+ (+ x t) y))

simplify70.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05181551
121671448
250011413

prune276.0ms

Filtered
92 candidates to 67 candidates (72.8%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh088
Picked011
Done000
Total929101

Merged error: 9.5b

Counts
101 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

8.1b
(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
27.3b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
27.3b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
27.3b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
54×*-un-lft-identity
36×associate-*r*
32×times-frac
30×cbrt-div
29×add-sqr-sqrt
25×cbrt-prod
24×add-cube-cbrt
18×distribute-lft-out
16×add-exp-log frac-times
15×flip3-- flip--
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×flip3-+ associate-*l* *-commutative flip-+ div-inv
Counts
4 → 114
Calls
4 calls:
40.0ms
(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.6s

Counts
4 → 12
Calls
4 calls:
604.0ms
(* (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))) (/ (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (+ (+ x t) y)))
315.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
307.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
341.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify76.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05913370
123713059
250012900

prune396.0ms

Filtered
126 candidates to 92 candidates (73.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh077
Picked011
Done011
Total1269135

Merged error: 9.5b

Counts
135 → 9

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New000
Fresh066
Picked011
Done022
Total099

Merged error: 9.5b

Counts
9 → 9

regimes424.0ms

Accuracy

14.5% (15.3b remaining)

Error of 24.0b against oracle of 8.7b and baseline of 26.6b

bsearch158.0ms

Steps
ItersRangePoint
6
3.534463068854078e+171
3.8463855775363104e+172
1.2083114452226689e+172
9
-7.644007279092957e-280
-7.865232808564962e-287
-7.343971926781701e-280
6
-1.2623664956758945e-200
-1.3506475611776416e-201
-2.448519852454424e-201
6
-4.497283092574911e+140
-5.169386570734295e+139
-6.666666454429612e+139

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04030
14030

end0.0ms

sample682.0ms

Algorithm
intervals
Results
422.0ms7998×body80valid
0.0ms1×body320valid
0.0ms1×body160valid

Profiling

Loading profile data...