Details

Time bar (total: 6.7s)

sample26.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify67.0ms

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: 26.2b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
2.0b
(+ (* (+ x y) z) (* (+ t y) a))
2.0b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.5b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite39.0ms

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
(* (+ x y) z)
7.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
14.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series750.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ x y) z)
70.0ms
(+ (* (+ x y) z) (* (+ t y) a))
97.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
562.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify70.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05681186
125261087
250011076

prune400.0ms

Filtered
117 candidates to 93 candidates (79.5%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New10512117
Fresh000
Picked101
Done000
Total10612118

Merged error: 8.8b

Counts
118 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
1.0b
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
1.7b
(- (* (+ t y) a) (* y b))
24.6b
(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

rewrite31.0ms

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:
9.0ms
(/ 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))))

series802.0ms

Counts
4 → 12
Calls
4 calls:
577.0ms
(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
94.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
31.0ms
(- (* (+ t y) a) (* y b))
99.0ms
(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

simplify72.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
04962605
122282401
250022286

prune332.0ms

Filtered
179 candidates to 92 candidates (51.4%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1763179
Fresh11011
Picked011
Done000
Total17714191

Merged error: 6.0b

Counts
191 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
1.7b
(- (* (+ t y) a) (* y b))
9.9b
(/ (cbrt (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b))))
14.2b
(/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (cbrt (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
915×times-frac
579×*-un-lft-identity
350×cbrt-div
319×add-sqr-sqrt add-cube-cbrt
260×cbrt-prod
233×associate-/r/
175×flip3-+ flip-+
156×distribute-lft-out
116×frac-times
58×associate-*r/ associate-*l/
51×add-exp-log
47×div-inv
31×associate-/r*
30×div-exp
23×associate-/l*
19×add-cbrt-cube
14×cbrt-undiv
6×prod-exp add-log-exp
4×pow1 expm1-log1p-u rec-exp 1-exp log1p-expm1-u
3×associate-/l/
2×frac-2neg clear-num cbrt-unprod
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef
Counts
4 → 574
Calls
4 calls:
1.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
6.0ms
(- (* (+ t y) a) (* y b))
8.0ms
(/ (cbrt (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b))))
35.0ms
(/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (cbrt (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))

series906.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
31.0ms
(- (* (+ t y) a) (* y b))
205.0ms
(/ (cbrt (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b))))
578.0ms
(/ (/ 1 (* (cbrt (+ (+ x t) y)) (cbrt (+ (+ x t) y)))) (/ (cbrt (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))

simplify205.0ms

Algorithm
egg-herbie
Counts
586 → 586
Iterations

Useful iterations: 1 (42.0ms)

IterNodesCost
0229920202
1500119905

prune1.6s

Filtered
586 candidates to 323 candidates (55.1%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New5851586
Fresh11112
Picked011
Done011
Total58614600

Merged error: 6.0b

Counts
600 → 14

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

prune0.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done022
Total01414

Merged error: 6.0b

Counts
14 → 14

regimes626.0ms

Accuracy

83.9% (3.5b remaining)

Error of 7.5b against oracle of 4.0b and baseline of 25.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04332
14332

end0.0ms

sample609.0ms

Algorithm
intervals
Results
345.0ms7995×body80valid
0.0ms2×body640valid
0.0ms2×body320valid
0.0ms1×body160valid