Details

Time bar (total: 39.3s)

sample39.0ms

Algorithm
intervals
Results
19.0ms256×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
17910
221010
348310
491010
5151610
6281810
7500110

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.4b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.3b
(+ (* (+ x y) z) (* (+ t y) a))
23.9b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite292.0ms

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:
19.0ms
(* (+ t y) a)
86.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms
(+ (* (+ x y) z) (* (+ t y) a))
168.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series722.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ t y) a)
94.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
51.0ms
(+ (* (+ x y) z) (* (+ t y) a))
558.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify76.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
05641186
125091087
250011077

prune841.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 9.0b

localize19.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* (+ t y) a) (* y b))
7.4b
(/ (/ (/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y)))
7.9b
(/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y)))
8.6b
(/ (/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y)))

rewrite730.0ms

Algorithm
rewrite-expression-head
Rules
6336×times-frac
6316×*-un-lft-identity
3975×cbrt-prod
2385×distribute-lft-out
2341×add-sqr-sqrt add-cube-cbrt
279×associate-/l*
186×cbrt-div associate-/r/
93×flip3-+ flip-+ div-inv
24×associate-/r*
20×add-exp-log
10×cbrt-undiv div-exp add-cbrt-cube
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×frac-2neg clear-num
2×associate-/l/
1×sub-neg flip3-- fma-neg diff-log prod-diff flip--
Counts
4 → 2607
Calls
4 calls:
19.0ms
(- (* (+ t y) a) (* y b))
228.0ms
(/ (/ (/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y)))
34.0ms
(/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y)))
98.0ms
(/ (/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y)))

series4.0s

Counts
4 → 12
Calls
4 calls:
27.0ms
(- (* (+ t y) a) (* y b))
426.0ms
(/ (/ (/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y)))
1.4s
(/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y)))
2.2s
(/ (/ (fma z (+ x y) (- (* (+ t y) a) (* y b))) (cbrt (+ (+ x t) y))) (cbrt (+ (+ x t) y)))

simplify780.0ms

Algorithm
egg-herbie
Counts
2619 → 2619
Iterations

Useful iterations: 1 (61.0ms)

IterNodesCost
0375192785
1500192145

prune29.0s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 9.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma a t (* a y))
0.5b
(fma z y (fma a t (* a y)))
1.7b
(- (fma z y (fma a t (* a y))) (* y b))
19.7b
(/ (- (fma z y (fma a t (* a y))) (* y b)) (+ (+ x t) y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
36×*-un-lft-identity
16×add-sqr-sqrt add-cube-cbrt
15×times-frac
12×distribute-lft-out
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u
3×fma-neg prod-diff fma-udef associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp associate--l+ clear-num flip-+ div-inv
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma a t (* a y))
0.0ms
(fma z y (fma a t (* a y)))
6.0ms
(- (fma z y (fma a t (* a y))) (* y b))
43.0ms
(/ (- (fma z y (fma a t (* a y))) (* y b)) (+ (+ x t) y))

series319.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(fma a t (* a y))
30.0ms
(fma z y (fma a t (* a y)))
61.0ms
(- (fma z y (fma a t (* a y))) (* y b))
192.0ms
(/ (- (fma z y (fma a t (* a y))) (* y b)) (+ (+ x t) y))

simplify49.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0291821
11191761
25001757

prune636.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 9.0b

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

14 alts after pruning (11 fresh and 3 done)

Merged error: 9.0b

regimes864.0ms

Accuracy

47.7% (9.7b remaining)

Error of 18.0b against oracle of 8.3b and baseline of 26.9b

bsearch6.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03330
13330

end0.0ms

sample747.0ms

Algorithm
intervals
Results
447.0ms7998×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid