Details

Time bar (total: 6.3s)

sample42.0ms

Algorithm
intervals
Results
27.0ms256×body80valid

simplify113.0ms

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: 28.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
1.2b
(+ (* (+ x y) z) (* (+ t y) a))
3.3b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.6b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite126.0ms

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
(* (+ x y) z)
5.0ms
(+ (* (+ x y) z) (* (+ t y) a))
32.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
74.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series765.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ x y) z)
49.0ms
(+ (* (+ x y) z) (* (+ t y) a))
101.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
594.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify71.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05231089
123081025
250011025

prune319.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 10.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.2b
(+ (* (+ x y) z) (* (+ t y) a))
3.3b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.6b
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
152×*-un-lft-identity
138×times-frac
72×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
24×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube add-log-exp
8×div-exp associate-*l/ associate-/l*
6×flip3-- flip3-+ flip-- flip-+ div-inv
5×pow1
4×cbrt-undiv frac-add
2×rec-exp frac-2neg diff-log 1-exp clear-num sum-log associate-/l/
1×+-commutative sub-neg pow-flip associate--l+ inv-pow
Counts
4 → 176
Calls
4 calls:
55.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
35.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
59.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series837.0ms

Counts
4 → 12
Calls
4 calls:
584.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
48.0ms
(+ (* (+ x y) z) (* (+ t y) a))
101.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
105.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify101.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07033190
133552979
250022861

prune379.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.1b

localize4.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify5.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune10.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.1b

localize16.0ms

Local error

Found 4 expressions with local error:

1.1b
(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
1.2b
(+ (* (+ x y) z) (* (+ t y) a))
3.3b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.4b
(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
762×times-frac
550×*-un-lft-identity
310×add-sqr-sqrt add-cube-cbrt
144×distribute-lft-out
79×associate-/r/
48×add-exp-log
40×div-inv
34×div-exp
24×flip3-- flip-- associate-/l*
21×flip3-+ flip-+
18×associate-/r* add-cbrt-cube
11×add-log-exp
9×cbrt-undiv rec-exp 1-exp
8×associate-*l/
5×pow1
4×frac-add
2×frac-2neg diff-log clear-num sum-log
1×+-commutative sub-neg pow-flip associate--l+ associate-/l/ inv-pow
Counts
4 → 445
Calls
4 calls:
34.0ms
(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
5.0ms
(+ (* (+ x y) z) (* (+ t y) a))
31.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
69.0ms
(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

series776.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
49.0ms
(+ (* (+ x y) z) (* (+ t y) a))
96.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
571.0ms
(/ (/ 1 (+ (+ x t) y)) (/ 1 (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))

simplify125.0ms

Algorithm
egg-herbie
Counts
457 → 457
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
0184810778
1500110079

prune790.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 6.1b

regimes435.0ms

Accuracy

82.9% (4.1b remaining)

Error of 8.5b against oracle of 4.4b and baseline of 28.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03632
13632

end0.0ms

sample986.0ms

Algorithm
intervals
Results
718.0ms7998×body80valid
0.0ms1×body320valid
0.0ms1×body160valid