Details

Time bar (total: 5.0s)

sample25.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify69.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 27.7b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.8b
(+ (* (+ x y) z) (* (+ t y) a))
2.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite40.0ms

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

series771.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ t y) a)
47.0ms
(+ (* (+ x y) z) (* (+ t y) a))
99.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
600.0ms
(/ (- (+ (* (+ 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

prune348.0ms

Filtered
117 candidates to 93 candidates (79.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1107117
Fresh000
Picked011
Done000
Total1108118

Merged error: 7.6b

Counts
118 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.8b
(+ (* (+ x y) z) (* (+ t y) a))
2.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.0b
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
27×add-sqr-sqrt
24×associate-*r*
18×add-cube-cbrt
17×times-frac
15×add-exp-log
12×associate-*l/
11×add-cbrt-cube add-log-exp
10×distribute-lft-out
8×pow1
7×flip3-+ associate-*l* flip-+
5×prod-exp
4×expm1-log1p-u frac-add log1p-expm1-u unswap-sqr
3×flip3-- fma-neg prod-diff flip-- cbrt-unprod
2×frac-times diff-log div-exp pow-prod-down sum-log associate-/r/ *-commutative
1×cbrt-undiv +-commutative sub-neg rec-exp fma-def 1-exp associate-*r/ associate--l+ un-div-inv div-inv
Counts
4 → 113
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))
20.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series749.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ t y) a)
50.0ms
(+ (* (+ x y) z) (* (+ t y) a))
98.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
581.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06471224
131421071
250011047

prune345.0ms

Filtered
125 candidates to 94 candidates (75.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh066
Picked011
Done011
Total1258133

Merged error: 7.6b

Counts
133 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
1.3b
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
1.6b
(- (* (+ t y) a) (* y b))
26.0b
(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
132×times-frac
70×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
22×associate-/r*
17×add-exp-log
11×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv add-log-exp
5×pow1
4×cbrt-undiv expm1-log1p-u log1p-expm1-u
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg flip3-- pow-flip flip3-+ fma-neg diff-log prod-diff associate-/r/ flip-- flip-+ fma-udef inv-pow
Counts
4 → 167
Calls
4 calls:
13.0ms
(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
1.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
6.0ms
(- (* (+ t y) a) (* y b))
8.0ms
(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

series801.0ms

Counts
4 → 12
Calls
4 calls:
579.0ms
(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
95.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
28.0ms
(- (* (+ t y) a) (* y b))
100.0ms
(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

simplify72.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
04962605
122282401
250022286

prune321.0ms

Filtered
179 candidates to 92 candidates (51.4%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1772179
Fresh055
Picked011
Done022
Total17710187

Merged error: 4.3b

Counts
187 → 10

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune0.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New000
Fresh066
Picked011
Done033
Total01010

Merged error: 4.3b

Counts
10 → 10

regimes526.0ms

Accuracy

87% (3.1b remaining)

Error of 7.6b 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

sample626.0ms

Algorithm
intervals
Results
362.0ms7995×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid
0.0ms1×body320valid
0.0ms1×body160valid