Details

Time bar (total: 6.1s)

sample64.0ms

Algorithm
intervals
Results
45.0ms377×body80valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03810
111210
238410
3156810
4500110

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize148.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(- x (* (- y 1.0) z))
0.0b
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b
(* (- (+ y t) 2.0) b)

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
24×associate-*l/
19×flip3-- flip--
16×add-sqr-sqrt
15×*-un-lft-identity add-log-exp
12×frac-add
11×associate-*l*
8×pow1 add-exp-log add-cube-cbrt frac-sub add-cbrt-cube
6×associate-*r*
4×associate-+l+ diff-log
3×sub-neg sum-log distribute-lft-out--
2×pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative associate-+l- flip3-+ flip-+ distribute-lft-out
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (- t 1.0) a)
2.0ms
(- x (* (- y 1.0) z))
60.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
51.0ms
(* (- (+ y t) 2.0) b)

series237.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- t 1.0) a)
29.0ms
(- x (* (- y 1.0) z))
149.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
29.0ms
(* (- (+ y t) 2.0) b)

simplify100.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08321265
143071216
250011216

prune320.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
0.2b
(cbrt (- t 1.0))
0.2b
(cbrt (- t 1.0))
0.2b
(cbrt (- t 1.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
19.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
2.0ms
(cbrt (- t 1.0))
4.0ms
(cbrt (- t 1.0))
2.0ms
(cbrt (- t 1.0))

series415.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
99.0ms
(cbrt (- t 1.0))
96.0ms
(cbrt (- t 1.0))
97.0ms
(cbrt (- t 1.0))

simplify44.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0368838
11223798
25002733

prune436.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (- y 1.0) z))) (cbrt (- x (* (- y 1.0) z))))
0.6b
(cbrt (- x (* (- y 1.0) z)))
0.6b
(cbrt (- x (* (- y 1.0) z)))
0.6b
(cbrt (- x (* (- y 1.0) z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
16.0ms
(* (cbrt (- x (* (- y 1.0) z))) (cbrt (- x (* (- y 1.0) z))))
1.0ms
(cbrt (- x (* (- y 1.0) z)))
1.0ms
(cbrt (- x (* (- y 1.0) z)))
2.0ms
(cbrt (- x (* (- y 1.0) z)))

series696.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt (- x (* (- y 1.0) z))) (cbrt (- x (* (- y 1.0) z))))
162.0ms
(cbrt (- x (* (- y 1.0) z)))
162.0ms
(cbrt (- x (* (- y 1.0) z)))
158.0ms
(cbrt (- x (* (- y 1.0) z)))

simplify110.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
02591045
1829980
23898907
35002901

prune369.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
0.0b
(* (- (+ y t) 2.0) b)
0.1b
(* (- t 1.0) (sqrt a))
0.2b
(* (* (- t 1.0) (sqrt a)) (sqrt a))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
36×associate-*l/
21×add-sqr-sqrt
19×flip3-- flip--
18×*-un-lft-identity
15×associate-*r*
13×pow1 add-exp-log add-cbrt-cube add-log-exp
12×associate-*l* frac-add
11×add-cube-cbrt
8×frac-sub
7×sqrt-prod
5×pow-prod-down prod-exp cbrt-unprod
4×associate-+l+
3×diff-log sum-log *-commutative distribute-lft-out-- unswap-sqr
2×sub-neg associate--l+ difference-of-squares
1×+-commutative associate-+l- flip3-+ flip-+ distribute-lft-out
Counts
4 → 102
Calls
4 calls:
62.0ms
(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
51.0ms
(* (- (+ y t) 2.0) b)
11.0ms
(* (- t 1.0) (sqrt a))
21.0ms
(* (* (- t 1.0) (sqrt a)) (sqrt a))

series249.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(+ (- (- x (* (- y 1.0) z)) (* (* (- t 1.0) (sqrt a)) (sqrt a))) (* (- (+ y t) 2.0) b))
28.0ms
(* (- (+ y t) 2.0) b)
44.0ms
(* (- t 1.0) (sqrt a))
40.0ms
(* (* (- t 1.0) (sqrt a)) (sqrt a))

simplify114.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (100.0ms)

IterNodesCost
09541540
149331427
250011419

prune377.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02717
12717

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.5s12360×body80valid
2.0ms5×body320valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid