Details

Time bar (total: 7.0s)

sample28.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify101.0ms

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: 26.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
2.0b
(+ (* (+ x y) z) (* (+ t y) a))
2.6b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.6b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite281.0ms

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:
22.0ms
(* (+ t y) a)
15.0ms
(+ (* (+ x y) z) (* (+ t y) a))
76.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
164.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series714.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (+ t y) a)
44.0ms
(+ (* (+ x y) z) (* (+ t y) a))
92.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
555.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify62.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05201087
123081025
250031025

prune333.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
2.0b
(+ (* (+ x y) z) (* (+ t y) a))
8.3b
(/ (* y b) (+ (+ x t) y))
21.5b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite157.0ms

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:
20.0ms
(* (+ t y) a)
15.0ms
(+ (* (+ x y) z) (* (+ t y) a))
41.0ms
(/ (* y b) (+ (+ x t) y))
76.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series339.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (+ t y) a)
48.0ms
(+ (* (+ x y) z) (* (+ t y) a))
65.0ms
(/ (* y b) (+ (+ x t) y))
206.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify66.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0535998
12664922
25002922

prune379.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (+ x t) y) b)
2.0b
(+ (* (+ x y) z) (* (+ t y) a))
9.7b
(/ y (/ (+ (+ x t) y) b))
21.5b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
180×*-un-lft-identity
147×times-frac
80×add-sqr-sqrt add-cube-cbrt
60×distribute-lft-out
27×associate-/r*
16×associate-*l/
13×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
11×associate-/l*
8×frac-add associate-/l/
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×frac-2neg clear-num associate-/r/
1×+-commutative sum-log
Counts
4 → 189
Calls
4 calls:
69.0ms
(/ (+ (+ x t) y) b)
15.0ms
(+ (* (+ x y) z) (* (+ t y) a))
40.0ms
(/ y (/ (+ (+ x t) y) b))
74.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series397.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (+ (+ x t) y) b)
42.0ms
(+ (* (+ x y) z) (* (+ t y) a))
126.0ms
(/ y (/ (+ (+ x t) y) b))
204.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify82.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
07261823
134781734
250011733

prune566.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 1.8b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x t) y))
2.0b
(+ (* (+ x y) z) (* (+ t y) a))
5.3b
(/ (/ y (+ (+ x t) y)) (/ 1 b))
21.5b
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
554×*-un-lft-identity
304×add-sqr-sqrt add-cube-cbrt
150×distribute-lft-out
39×div-inv
33×associate-/r/
30×add-exp-log
27×associate-/l*
26×flip3-+ flip-+
23×associate-/r*
20×add-cbrt-cube
18×div-exp
16×associate-*l/
10×cbrt-undiv
8×frac-add
7×associate-/l/
6×add-log-exp
4×pow1
3×frac-2neg clear-num
2×rec-exp 1-exp
1×+-commutative sum-log
Counts
4 → 426
Calls
4 calls:
34.0ms
(/ y (+ (+ x t) y))
16.0ms
(+ (* (+ x y) z) (* (+ t y) a))
67.0ms
(/ (/ y (+ (+ x t) y)) (/ 1 b))
74.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

series432.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ y (+ (+ x t) y))
47.0ms
(+ (* (+ x y) z) (* (+ t y) a))
126.0ms
(/ (/ y (+ (+ x t) y)) (/ 1 b))
200.0ms
(/ (+ (* (+ x y) z) (* (+ t y) a)) (+ (+ x t) y))

simplify76.0ms

Algorithm
egg-herbie
Counts
438 → 438
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
017555272
150014863

prune978.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 1.8b

regimes388.0ms

Accuracy

17.5% (17.2b remaining)

Error of 20.5b against oracle of 3.3b and baseline of 24.1b

bsearch368.0ms

Steps
ItersRangePoint
7
4.7096121893936013e+55
1.1088207870187919e+57
4.992279324067696e+56
7
6.644174833993892e-75
4.124102039964638e-73
7.56984045759666e-75
9
1.7019877301269019e-127
2.3279773334482045e-122
9.836792356441502e-126
8
3.0222048480962876e-186
2.303357023697863e-182
3.5312042503262674e-186
7
5.8045076717453295e-267
4.682543563979993e-265
2.1883827135341942e-265
9
-1.583509145944218e-29
-1.0588561897920384e-38
-5.561955879913683e-33
10
-485376.2517793637
-3.795023512581424e-08
-6.580972394505658e-07
8
-2.000159998393285e+186
-1.9734129273502387e+182
-3.2996320960551884e+182

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05681
15681

end0.0ms

sample731.0ms

Algorithm
intervals
Results
334.0ms7997×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid