Details

Time bar (total: 5.7s)

sample26.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify85.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03310
17910
221010
348310
491010
5151610
6281810
7500110

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
2.3b
(+ (* (+ x y) z) (* (+ t y) a))
2.9b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.9b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite150.0ms

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:
10.0ms
(* (+ t y) a)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
42.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
88.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series838.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (+ t y) a)
50.0ms
(+ (* (+ x y) z) (* (+ t y) a))
107.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
654.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify78.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05641186
125091087
250021077

prune435.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
2.0b
(- (* (+ t y) a) (* y b))
2.8b
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
26.9b
(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

rewrite75.0ms

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:
27.0ms
(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
6.0ms
(- (* (+ t y) a) (* y b))
0.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
35.0ms
(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

series887.0ms

Counts
4 → 12
Calls
4 calls:
636.0ms
(/ 1 (/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b)))))
31.0ms
(- (* (+ t y) a) (* y b))
106.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
113.0ms
(/ (+ (+ x t) y) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

simplify73.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04962605
122282401
250022286

prune419.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 2.8b

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

10 alts after pruning (7 fresh and 3 done)

Merged error: 2.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ (+ x t) y))
2.0b
(- (* (+ t y) a) (* y b))
2.8b
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
27.0b
(* (/ 1 (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*l* distribute-lft-out
17×add-exp-log
11×add-cbrt-cube
7×pow1
6×add-log-exp
5×associate-/r*
4×expm1-log1p-u div-exp prod-exp associate-/r/ log1p-expm1-u
3×associate-*r* fma-udef associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ div-inv
1×distribute-rgt-in sub-neg flip3-- pow-flip frac-2neg distribute-lft-in fma-neg diff-log prod-diff pow-prod-down associate-*l/ clear-num *-commutative flip-- inv-pow
Counts
4 → 116
Calls
4 calls:
19.0ms
(/ 1 (+ (+ x t) y))
6.0ms
(- (* (+ t y) a) (* y b))
0.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
49.0ms
(* (/ 1 (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

series836.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(/ 1 (+ (+ x t) y))
31.0ms
(- (* (+ t y) a) (* y b))
108.0ms
(fma z (+ x y) (- (* (+ t y) a) (* y b)))
636.0ms
(* (/ 1 (+ (+ x t) y)) (fma z (+ x y) (- (* (+ t y) a) (* y b))))

simplify57.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
03971050
11754922
25003881

prune345.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 2.8b

regimes586.0ms

Accuracy

85% (3.6b remaining)

Error of 7.9b against oracle of 4.2b and baseline of 28.5b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03632
13632

end0.0ms

sample639.0ms

Algorithm
intervals
Results
359.0ms7996×body80valid
0.0ms2×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid