Details

Time bar (total: 5.8s)

sample31.0ms

Algorithm
intervals
Results
17.0ms256×body80valid

simplify110.0ms

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: 29.7b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
1.3b
(+ (* (+ x y) z) (* (+ t y) a))
3.6b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.7b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite39.0ms

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
(* (+ x y) z)
7.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series729.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ x y) z)
49.0ms
(+ (* (+ x y) z) (* (+ t y) a))
94.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
566.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05231089
123081025
250011025

prune279.0ms

Filtered
102 candidates to 74 candidates (72.5%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New939102
Fresh000
Picked011
Done000
Total9310103

Merged error: 8.5b

Counts
103 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.3b
(+ (* (+ x y) z) (* (+ t y) a))
3.6b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.8b
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
138×times-frac
72×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
24×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube add-log-exp
8×div-exp associate-*l/ associate-/l*
6×flip3-- flip3-+ flip-- flip-+ div-inv
5×pow1
4×cbrt-undiv frac-add
2×rec-exp frac-2neg diff-log 1-exp clear-num sum-log associate-/l/
1×+-commutative sub-neg pow-flip associate--l+ inv-pow
Counts
4 → 176
Calls
4 calls:
17.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
7.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
18.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series796.0ms

Counts
4 → 12
Calls
4 calls:
550.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
49.0ms
(+ (* (+ x y) z) (* (+ t y) a))
97.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
100.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify90.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
07033190
133552979
250022861

prune323.0ms

Filtered
188 candidates to 95 candidates (50.5%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1871188
Fresh088
Picked011
Done011
Total18711198

Merged error: 4.2b

Counts
198 → 11

localize4.0ms

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

prune18.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New000
Fresh088
Picked011
Done022
Total01111

Merged error: 4.2b

Counts
11 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

9.7b
(* (* (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)))
28.5b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
28.5b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
28.5b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite66.0ms

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:
36.0ms
(* (* (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)))
8.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
8.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
8.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series1.4s

Counts
4 → 12
Calls
4 calls:
569.0ms
(* (* (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)))
297.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
287.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
288.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify77.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05913370
123713059
250012900

prune362.0ms

Filtered
126 candidates to 91 candidates (72.2%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1260126
Fresh077
Picked011
Done033
Total12611137

Merged error: 4.2b

Counts
137 → 11

regimes505.0ms

Accuracy

85.3% (3.5b remaining)

Error of 8.0b against oracle of 4.5b and baseline of 28.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03632
13632

end0.0ms

sample725.0ms

Algorithm
intervals
Results
442.0ms7995×body80valid
0.0ms2×body320valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid