Details

Time bar (total: 5.7s)

sample38.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify97.0ms

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: 30.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.9b
(+ (* (+ x y) z) (* (+ t y) a))
2.9b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
29.0b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite132.0ms

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:
10.0ms
(* (+ x y) z)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
35.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
78.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series777.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ x y) z)
48.0ms
(+ (* (+ x y) z) (* (+ t y) a))
101.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
602.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify67.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05231089
123081025
250011025

prune333.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ (+ x t) y))
0.9b
(+ (* (+ x y) z) (* (+ t y) a))
2.9b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
29.1b
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*r* distribute-lft-out
17×add-exp-log
11×add-cbrt-cube add-log-exp
10×associate-*l/
7×pow1 flip3-+ flip-+
5×associate-/r*
4×div-exp frac-add prod-exp associate-/r/
3×flip3-- associate-*l* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp diff-log 1-exp sum-log cbrt-unprod div-inv
1×+-commutative sub-neg pow-flip frac-2neg associate-*r/ pow-prod-down associate--l+ clear-num un-div-inv *-commutative inv-pow
Counts
4 → 118
Calls
4 calls:
20.0ms
(/ 1 (+ (+ x t) y))
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
33.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
135.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series791.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ 1 (+ (+ x t) y))
46.0ms
(+ (* (+ x y) z) (* (+ t y) a))
98.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
588.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
05621271
127681148
250021106

prune329.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 9.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.9b
(+ (* (+ x y) z) (* (+ t y) a))
2.9b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
29.0b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite129.0ms

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:
11.0ms
(* (+ x y) z)
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
33.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
76.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series760.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ x y) z)
47.0ms
(+ (* (+ x y) z) (* (+ t y) a))
98.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
593.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
05231089
123081025
250011025

prune329.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 9.1b

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

11 alts after pruning (8 fresh and 3 done)

Merged error: 9.1b

regimes495.0ms

Accuracy

47.9% (9.5b remaining)

Error of 17.9b against oracle of 8.4b and baseline of 26.6b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03431
13431

end0.0ms

sample1.0s

Algorithm
intervals
Results
732.0ms7999×body80valid
0.0ms1×body1280valid