Details

Time bar (total: 5.0s)

sample27.0ms

Algorithm
intervals
Results
11.0ms318×body80valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

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)))
8.3b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite97.0ms

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:
30.0ms
(* (* z 2.0) (- 1.0 t))
32.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
33.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series143.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(* (* z 2.0) (- 1.0 t))
46.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
57.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify48.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0415543
11753476
25001473

prune179.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
13×add-exp-log associate-*l* add-log-exp
12×add-cube-cbrt
11×times-frac
9×add-cbrt-cube
6×pow1
4×associate-+r+ flip3-+ associate-*r* prod-exp associate--l+ flip-+
3×distribute-rgt-in distribute-lft-in sum-log distribute-lft-out unswap-sqr
2×+-commutative frac-times sub-neg flip3-- diff-log associate-*r/ div-exp frac-add flip-- cbrt-unprod
1×cbrt-undiv associate-+r- rec-exp 1-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
23.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
15.0ms
(+ (/ 2.0 z) 2.0)
73.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
61.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series143.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
29.0ms
(+ (/ 2.0 z) 2.0)
49.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
35.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify51.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0509710
12130638
25001621

prune242.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
0.0b
(+ (/ 2.0 (* t z)) (/ 2.0 t))
0.0b
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
0.4b
(/ 2.0 (* t z))

rewrite558.0ms

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:
192.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
26.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
330.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
8.0ms
(/ 2.0 (* t z))

series148.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
46.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
50.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
22.0ms
(/ 2.0 (* t z))

simplify41.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0377616
11293579
25002565

prune204.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t))
0.0b
(+ (/ x y) (- (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t)) 2.0))
0.4b
(/ (* t z) (sqrt 2.0))
0.6b
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
110×times-frac
66×*-un-lft-identity
60×sqrt-prod
51×add-sqr-sqrt add-cube-cbrt
18×add-exp-log add-cbrt-cube
16×associate-/r*
15×add-log-exp
9×div-inv
7×cbrt-undiv div-exp associate-/l*
6×distribute-lft-out
5×sum-log
4×pow1
3×associate-+r+ frac-add
2×+-commutative frac-2neg flip3-+ diff-log prod-exp clear-num cbrt-unprod flip-+ distribute-lft-out--
1×associate-+r- sub-neg flip3-- associate--l+ associate-/r/ flip--
Counts
4 → 156
Calls
4 calls:
76.0ms
(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t))
994.0ms
(+ (/ x y) (- (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t)) 2.0))
11.0ms
(/ (* t z) (sqrt 2.0))
14.0ms
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

series376.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t))
122.0ms
(+ (/ x y) (- (+ (/ (sqrt 2.0) (/ (* t z) (sqrt 2.0))) (/ 2.0 t)) 2.0))
75.0ms
(/ (* t z) (sqrt 2.0))
74.0ms
(/ (sqrt 2.0) (/ (* t z) (sqrt 2.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
06401587
130101482
250021389

prune413.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes141.0ms

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

sample750.0ms

Algorithm
intervals
Results
385.0ms10436×body80valid