Details

Time bar (total: 5.4s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
17910
221010
348310
491010
5151610
6281810
7500110

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))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
20×add-sqr-sqrt
18×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×expm1-log1p-u associate-*l* frac-add log1p-expm1-u
3×fma-neg associate-*r* prod-diff associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg fma-def frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 105
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))
18.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series783.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (+ t y) a)
47.0ms
(+ (* (+ x y) z) (* (+ t y) a))
100.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
610.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify72.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
05641186
125091087
250021077

prune388.0ms

Filtered
117 candidates to 93 candidates (79.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1089117
Fresh000
Picked101
Done000
Total1099118

Merged error: 9.5b

Counts
118 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
1.5b
(fma y (- a b) (* a t))
3.2b
(+ (* (+ x y) z) (fma y (- a b) (* a t)))
26.6b
(/ (+ (* (+ x y) z) (fma y (- a b) (* a t))) (+ (+ x t) y))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
8×add-exp-log add-cbrt-cube
6×pow1 add-log-exp
5×associate-/r*
4×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u
3×associate-*r* associate-/l*
2×associate-*l/ associate-/r/ fma-udef associate-/l/
1×cbrt-undiv +-commutative associate-+r+ fma-def frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 89
Calls
4 calls:
6.0ms
(* (+ x y) z)
1.0ms
(fma y (- a b) (* a t))
10.0ms
(+ (* (+ x y) z) (fma y (- a b) (* a t)))
12.0ms
(/ (+ (* (+ x y) z) (fma y (- a b) (* a t))) (+ (+ x t) y))

series423.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ x y) z)
31.0ms
(fma y (- a b) (* a t))
101.0ms
(+ (* (+ x y) z) (fma y (- a b) (* a t)))
269.0ms
(/ (+ (* (+ x y) z) (fma y (- a b) (* a t))) (+ (+ x t) y))

simplify43.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0334876
11269814
25002814

prune268.0ms

Filtered
101 candidates to 74 candidates (73.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New992101
Fresh268
Picked011
Done000
Total1019110

Merged error: 9.5b

Counts
110 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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 flip3-+ flip-+
12×associate-*l/
10×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down unswap-sqr
2×cbrt-undiv div-exp associate-/r/
1×associate-*l* *-commutative div-inv
Counts
4 → 122
Calls
4 calls:
34.0ms
(* (* (cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t)))) (cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t))))) (/ (cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t)))) (+ (+ x t) y)))
5.0ms
(cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t))))
6.0ms
(cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t))))
6.0ms
(cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t))))

series1.2s

Counts
4 → 12
Calls
4 calls:
265.0ms
(* (* (cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t)))) (cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t))))) (/ (cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t)))) (+ (+ x t) y)))
298.0ms
(cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t))))
315.0ms
(cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t))))
301.0ms
(cbrt (+ (* (+ x y) z) (fma y (- a b) (* a t))))

simplify75.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05983122
123512845
250032693

prune502.0ms

Filtered
134 candidates to 103 candidates (76.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh077
Picked011
Done011
Total1349143

Merged error: 9.5b

Counts
143 → 9

localize1.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

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

regimes497.0ms

Accuracy

14.3% (15.1b remaining)

Error of 23.8b against oracle of 8.7b and baseline of 26.3b

bsearch155.0ms

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
03318
13318

end0.0ms

sample722.0ms

Algorithm
intervals
Results
452.0ms7998×body80valid
0.0ms1×body320valid
0.0ms1×body160valid

Profiling

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