Details

Time bar (total: 5.5s)

sample28.0ms

Algorithm
intervals
Results
15.0ms256×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: 27.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
1.8b
(+ (* (+ x y) z) (* (+ t y) a))
2.8b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.4b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite39.0ms

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:
6.0ms
(* (+ x y) z)
7.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series795.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (+ x y) z)
50.0ms
(+ (* (+ x y) z) (* (+ t y) a))
101.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
623.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify65.0ms

Algorithm
egg-herbie
Counts
102 → 102
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
05231089
123081025
250011025

prune319.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
1.8b
(+ (* (+ x y) z) (* (+ t y) a))
2.8b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
25.3b
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite54.0ms

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:
16.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
6.0ms
(+ (* (+ x y) z) (* (+ t y) a))
9.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
15.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series827.0ms

Counts
4 → 12
Calls
4 calls:
583.0ms
(/ 1 (/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))
49.0ms
(+ (* (+ x y) z) (* (+ t y) a))
97.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
97.0ms
(/ (+ (+ x t) y) (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify86.0ms

Algorithm
egg-herbie
Counts
188 → 188
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07033190
133552979
250022861

prune379.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.2b

localize4.0ms

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

prune26.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.2b

localize23.0ms

Local error

Found 4 expressions with local error:

7.0b
(* (/ 1 (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
26.2b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
26.2b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
26.2b
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
49×add-exp-log
47×add-sqr-sqrt
45×times-frac
36×associate-*r*
27×cbrt-prod
26×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube distribute-lft-out
15×div-exp associate-*l*
10×flip3-- associate-/r/ flip--
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1
5×frac-times
4×rec-exp 1-exp add-log-exp
3×pow1/3 associate-*r/ associate-*l/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 131
Calls
4 calls:
51.0ms
(* (/ 1 (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
9.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

series986.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* (/ 1 (* (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))))) (/ (+ (+ x t) y) (cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))))
302.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
308.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))
303.0ms
(cbrt (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)))

simplify87.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06383849
132483387
250033071

prune442.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 4.2b

regimes515.0ms

Accuracy

85.1% (3.3b remaining)

Error of 7.7b against oracle of 4.4b and baseline of 26.6b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04133
14133

end0.0ms

sample639.0ms

Algorithm
intervals
Results
383.0ms7998×body80valid
0.0ms1×body640valid
0.0ms1×body160valid