Details

Time bar (total: 3.3s)

sample30.0ms

Algorithm
intervals
Results
15.0ms336×body80valid

simplify57.0ms

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: 10.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.6b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
10×*-un-lft-identity
8×pow1 add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×times-frac pow-prod-down associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 62
Calls
3 calls:
28.0ms
(* (* z 2.0) (- 1.0 t))
34.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
30.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series160.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (* z 2.0) (- 1.0 t))
47.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
73.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify49.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0415543
11753476
25001473

prune152.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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)
0.1b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite158.0ms

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:
71.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
24.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
60.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series112.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
31.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
34.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify48.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0499648
12111584
25001567

prune188.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
0.0b
(- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0)
0.1b
(/ (+ (/ 2.0 z) 2.0) t)

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
10×add-log-exp
5×add-exp-log add-cbrt-cube distribute-lft-out
4×associate-/l*
3×pow1 associate-/r*
2×sub-neg associate-+r+ flip3-- flip3-+ diff-log frac-add sum-log flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative associate-+r- frac-2neg div-exp clear-num div-inv
Counts
3 → 63
Calls
3 calls:
75.0ms
(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
24.0ms
(- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0)
45.0ms
(/ (+ (/ 2.0 z) 2.0) t)

series108.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (/ x y) (- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0))
31.0ms
(- (* (/ 1 1) (/ (+ (/ 2.0 z) 2.0) t)) 2.0)
34.0ms
(/ (+ (/ 2.0 z) 2.0) t)

simplify97.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0334569
11096539
24514499
35001497

prune171.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite543.0ms

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:
316.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
191.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
25.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
8.0ms
(/ 2.0 (* t z))

series140.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (/ 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))

simplify43.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0377616
11293579
25002565

prune164.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes98.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197
1217
2217

end0.0ms

sample727.0ms

Algorithm
intervals
Results
386.0ms10457×body80valid