Details

Time bar (total: 6.8s)

sample25.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.4b
(+ (* (+ x y) z) (* (+ t y) a))
2.2b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
27.2b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite141.0ms

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))
40.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
83.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series793.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (+ t y) a)
53.0ms
(+ (* (+ x y) z) (* (+ t y) a))
105.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
612.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify81.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05641186
125091087
250021077

prune434.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
0.8b
(fma (+ x y) z (* (+ t y) a))
9.6b
(/ (* y b) (+ (+ x t) y))
24.1b
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
146×*-un-lft-identity
124×times-frac
66×add-sqr-sqrt
64×add-cube-cbrt
49×distribute-lft-out
18×add-exp-log
16×add-cbrt-cube
14×associate-/l*
10×associate-/r*
8×div-inv
7×div-exp
6×pow1
5×cbrt-undiv
4×expm1-log1p-u associate-*l* associate-/r/ log1p-expm1-u add-log-exp
3×flip3-+ associate-*r* flip-+
2×frac-2neg associate-*l/ prod-exp clear-num cbrt-unprod
1×1-exp pow-prod-down *-commutative fma-udef associate-/l/ unswap-sqr
Counts
4 → 165
Calls
4 calls:
10.0ms
(* (+ t y) a)
0.0ms
(fma (+ x y) z (* (+ t y) a))
22.0ms
(/ (* y b) (+ (+ x t) y))
21.0ms
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

series392.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (+ t y) a)
57.0ms
(fma (+ x y) z (* (+ t y) a))
80.0ms
(/ (* y b) (+ (+ x t) y))
233.0ms
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

simplify73.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05881846
125851673
250011572

prune450.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
0.8b
(fma (+ x y) z (* (+ t y) a))
9.5b
(/ y (/ (+ (+ x t) y) b))
24.1b
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
250×*-un-lft-identity
236×times-frac
120×add-sqr-sqrt
118×add-cube-cbrt
79×distribute-lft-out
24×associate-/r*
18×add-exp-log
16×add-cbrt-cube associate-/l*
12×div-inv
8×div-exp
6×pow1 cbrt-undiv
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×associate-*r* associate-/r/
2×frac-2neg flip3-+ associate-*l/ clear-num flip-+
1×1-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef associate-/l/ unswap-sqr
Counts
4 → 232
Calls
4 calls:
10.0ms
(* (+ t y) a)
0.0ms
(fma (+ x y) z (* (+ t y) a))
23.0ms
(/ y (/ (+ (+ x t) y) b))
21.0ms
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

series465.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (+ t y) a)
57.0ms
(fma (+ x y) z (* (+ t y) a))
153.0ms
(/ y (/ (+ (+ x t) y) b))
234.0ms
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

simplify95.0ms

Algorithm
egg-herbie
Counts
244 → 244
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
07902519
134582342
250012241

prune642.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x t) y))
0.8b
(fma (+ x y) z (* (+ t y) a))
3.8b
(* (/ y (+ (+ x t) y)) b)
24.1b
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
185×*-un-lft-identity
150×times-frac
85×add-sqr-sqrt
80×add-cube-cbrt
63×distribute-lft-out
21×associate-*l*
18×add-exp-log
16×add-cbrt-cube associate-/l*
10×associate-/r*
9×div-inv
7×div-exp
6×pow1 associate-/r/
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ associate-*r* flip-+
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×1-exp pow-prod-down associate-*l/ *-commutative fma-udef associate-/l/
Counts
4 → 194
Calls
4 calls:
17.0ms
(/ y (+ (+ x t) y))
0.0ms
(fma (+ x y) z (* (+ t y) a))
44.0ms
(* (/ y (+ (+ x t) y)) b)
21.0ms
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

series510.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(/ y (+ (+ x t) y))
56.0ms
(fma (+ x y) z (* (+ t y) a))
146.0ms
(* (/ y (+ (+ x t) y)) b)
239.0ms
(/ (/ (fma (+ x y) z (* (+ t y) a)) 1) (+ (+ x t) y))

simplify68.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05882061
123831881
250011781

prune689.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.1b

regimes475.0ms

Accuracy

10.6% (18.7b remaining)

Error of 21.7b against oracle of 3.1b and baseline of 24.0b

bsearch456.0ms

Steps
ItersRangePoint
10
1.5310688337859046e+150
1.1325633587695186e+169
2.776833520025213e+150
10
6.245971363024406e-106
5.423704089118626e-89
1.6261331649776397e-101
10
-3.6623406705187374e-263
-7.506457201293402e-282
-3.0085102585021934e-276
6
-1.0428613713016426e-195
-2.0841232471337376e-196
-2.103108494735924e-196
6
-4.350432003243438e-75
-6.928083723451902e-76
-2.334499011016451e-75
9
-6.391167965550272e+93
-6.147211734714279e+84
-4.2813816300222497e+92
6
-1.0801831724024847e+98
-1.5590065982547564e+97
-6.390513096308894e+97
9
-2.112960495359917e+176
-1.6738454719623608e+168
-1.6986254320624221e+168

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06173
16173

end0.0ms

sample630.0ms

Algorithm
intervals
Results
358.0ms7995×body80valid
0.0ms3×body640valid
0.0ms1×body320valid
0.0ms1×body160valid