Details

Time bar (total: 4.1s)

sample29.0ms

Algorithm
intervals
Results
12.0ms338×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(* (* z 2.0) (- 1.0 t))
10.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
11×*-un-lft-identity
9×pow1 add-sqr-sqrt
8×add-log-exp
7×add-cube-cbrt
5×associate-*r*
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in prod-exp cbrt-unprod
3×flip3-+ times-frac pow-prod-down flip-+ associate-/l*
2×cbrt-undiv +-commutative associate-*r/ div-exp sum-log associate-/l/
1×flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 77
Calls
4 calls:
28.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
28.0ms
(* (* z 2.0) (- 1.0 t))
28.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series165.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
31.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
37.0ms
(* (* z 2.0) (- 1.0 t))
56.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify53.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0444646
11848578
25002571

prune212.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
0.0b
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
0.2b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*l*
12×add-exp-log
11×add-cube-cbrt times-frac
10×add-log-exp
8×add-cbrt-cube
5×pow1
4×associate-+r+ associate-*r* prod-exp associate--l+
3×distribute-rgt-in distribute-lft-in flip3-+ flip-+ unswap-sqr
2×frac-times sub-neg flip3-- diff-log associate-*r/ div-exp frac-add sum-log flip-- cbrt-unprod distribute-lft-out
1×cbrt-undiv +-commutative associate-+r- rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
3 → 76
Calls
3 calls:
65.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
21.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
68.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series108.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
26.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
35.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify52.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0499648
12111584
25001567

prune202.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.0b
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
0.0b
(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.6b
(/ 2.0 (* t z))

rewrite504.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×distribute-lft-out
6×add-cube-cbrt sum-log
4×pow1 diff-log distribute-lft-out--
3×associate-+r+ times-frac frac-add div-inv associate-/l*
2×cbrt-undiv +-commutative sub-neg flip3-- flip3-+ div-exp associate--l+ flip-- flip-+
1×associate-+r- frac-2neg prod-exp clear-num associate-/r* cbrt-unprod difference-of-squares
Counts
4 → 74
Calls
4 calls:
294.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
177.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
24.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
7.0ms
(/ 2.0 (* t z))

series139.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
28.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
45.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
19.0ms
(/ 2.0 (* t z))

simplify46.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0377616
11293579
25002565

prune179.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
0.5b
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
0.5b
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
0.5b
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
75×cbrt-div
55×frac-times
35×associate-*r/
30×flip3-+ flip-+
20×associate-*l/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 108
Calls
4 calls:
23.0ms
(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
16.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
16.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
21.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

series592.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))) (cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0))))
127.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
137.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))
131.0ms
(cbrt (* (/ 1 t) (+ (/ 2.0 z) 2.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05221876
119501784
250021666

prune457.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes131.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample747.0ms

Algorithm
intervals
Results
398.0ms10443×body80valid