Details

Time bar (total: 6.0s)

sample30.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03210
17110
218410
338110
468210
5110210
6212210
7433710
8500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.0b

localize14.0ms

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))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×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×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
9.0ms
(* (+ t y) a)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
33.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
77.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series781.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ t y) a)
52.0ms
(+ (* (+ x y) z) (* (+ t y) a))
102.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
606.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify85.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
05201087
123081025
250031025

prune345.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.4b
(+ (* (+ x y) z) (* (+ t y) a))
9.6b
(/ (* y b) (+ (+ x t) y))
24.1b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
20×add-sqr-sqrt times-frac
19×distribute-lft-out
18×add-cube-cbrt associate-*l/
13×add-exp-log flip3-+ add-cbrt-cube flip-+
10×associate-/r*
8×frac-add
6×pow1 associate-/l/ add-log-exp
4×associate-*l* associate-/r/ associate-/l*
3×cbrt-undiv div-exp associate-*r*
2×frac-2neg prod-exp clear-num cbrt-unprod div-inv
1×+-commutative pow-prod-down sum-log *-commutative unswap-sqr
Counts
4 → 106
Calls
4 calls:
10.0ms
(* (+ t y) a)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
23.0ms
(/ (* y b) (+ (+ x t) y))
31.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series360.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ t y) a)
50.0ms
(+ (* (+ x y) z) (* (+ t y) a))
73.0ms
(/ (* y b) (+ (+ x t) y))
217.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify80.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
0535998
12664922
25002922

prune352.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.4b
(+ (* (+ x y) z) (* (+ t y) a))
9.5b
(/ y (/ (+ (+ x t) y) b))
24.1b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
154×*-un-lft-identity
132×times-frac
74×add-sqr-sqrt
72×add-cube-cbrt
49×distribute-lft-out
24×associate-/r*
18×associate-*l/
13×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
8×frac-add
6×pow1 div-inv associate-/l/ associate-/l* add-log-exp
4×cbrt-undiv div-exp associate-*l*
3×associate-*r* associate-/r/
2×frac-2neg clear-num
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 173
Calls
4 calls:
9.0ms
(* (+ t y) a)
9.0ms
(+ (* (+ x y) z) (* (+ t y) a))
20.0ms
(/ y (/ (+ (+ x t) y) b))
30.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series418.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (+ t y) a)
44.0ms
(+ (* (+ x y) z) (* (+ t y) a))
140.0ms
(/ y (/ (+ (+ x t) y) b))
207.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify103.0ms

Algorithm
egg-herbie
Counts
185 → 185
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
07381671
134771591
250011590

prune517.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x t) y))
1.4b
(+ (* (+ x y) z) (* (+ t y) a))
3.8b
(* (/ y (+ (+ x t) y)) b)
24.1b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
89×*-un-lft-identity
46×times-frac
39×add-sqr-sqrt
34×add-cube-cbrt
33×distribute-lft-out
21×associate-*l*
17×associate-*l/
13×add-exp-log flip3-+ add-cbrt-cube flip-+
10×associate-/r*
8×frac-add
6×pow1 associate-/r/ associate-/l/ associate-/l* add-log-exp
3×cbrt-undiv div-exp associate-*r* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative pow-prod-down sum-log *-commutative
Counts
4 → 135
Calls
4 calls:
17.0ms
(/ y (+ (+ x t) y))
5.0ms
(+ (* (+ x y) z) (* (+ t y) a))
42.0ms
(* (/ y (+ (+ x t) y)) b)
31.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series455.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ y (+ (+ x t) y))
48.0ms
(+ (* (+ x y) z) (* (+ t y) a))
135.0ms
(* (/ y (+ (+ x t) y)) b)
214.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify80.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
05621213
125901129
250011129

prune394.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.1b

regimes430.0ms

Accuracy

9.3% (19.0b remaining)

Error of 22.0b against oracle of 3.1b and baseline of 24.0b

bsearch389.0ms

Steps
ItersRangePoint
9
1.4435053598388824e+135
1.4749468324287694e+141
2.197975804352339e+135
10
6.245971363024406e-106
5.423704089118626e-89
4.3804140724000676e-97
10
-3.6623406705187374e-263
-7.506457201293402e-282
-3.6735327386694895e-268
7
-9.403913767318146e-164
-3.6731341990475724e-165
-1.8713424802009653e-164
6
-4.350432003243438e-75
-6.928083723451902e-76
-2.334499011016451e-75
9
-6.391167965550272e+93
-6.147211734714279e+84
-6.269150250695785e+93
6
-1.0801831724024847e+98
-1.5590065982547564e+97
-4.771858414190903e+97
9
-2.112960495359917e+176
-1.6738454719623608e+168
-1.6986254320624221e+168

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07068
17068

end0.0ms

sample610.0ms

Algorithm
intervals
Results
348.0ms7995×body80valid
0.0ms3×body640valid
0.0ms1×body320valid
0.0ms1×body160valid