Details

Time bar (total: 4.0s)

sample42.0ms

Algorithm
intervals
Results
20.0ms322×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0258
1478
2968
31658
42418
53908
611938
750028

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
11.3b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/l*
2×pow1 cbrt-undiv flip3-+ div-exp flip-+ associate-/l/
1×+-commutative frac-2neg frac-add prod-exp clear-num associate-/r* sum-log cbrt-unprod div-inv distribute-lft-out
Counts
2 → 36
Calls
2 calls:
16.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series115.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
63.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify37.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0283409
11039362
25001359

prune116.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 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)
0.0b
(+ (/ 2.0 z) 2.0)
0.4b
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

rewrite107.0ms

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:
41.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
13.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
9.0ms
(+ (/ 2.0 z) 2.0)
39.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

series156.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(+ (/ x y) (- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0))
36.0ms
(- (* (/ 1 t) (+ (/ 2.0 z) 2.0)) 2.0)
29.0ms
(+ (/ 2.0 z) 2.0)
38.0ms
(* (/ 1 t) (+ (/ 2.0 z) 2.0))

simplify56.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0509710
12130638
25001621

prune224.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

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))
1.1b
(/ 2.0 (* t z))

rewrite303.0ms

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:
178.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
104.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
15.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
3.0ms
(/ 2.0 (* t z))

series160.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(+ (/ x y) (- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0))
31.0ms
(- (+ (/ 2.0 (* t z)) (/ 2.0 t)) 2.0)
50.0ms
(+ (/ 2.0 (* t z)) (/ 2.0 t))
22.0ms
(/ 2.0 (* t z))

simplify38.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0377616
11293579
25002565

prune183.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

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))
0.3b
(/ (/ 2.0 t) z)

rewrite975.0ms

Algorithm
rewrite-expression-head
Rules
77×times-frac
66×*-un-lft-identity
48×add-sqr-sqrt
46×add-cube-cbrt
20×add-log-exp
13×associate-/l*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
6×sum-log
5×div-inv
4×pow1 diff-log distribute-lft-out--
3×cbrt-undiv associate-+r+ div-exp frac-add associate-/r*
2×+-commutative sub-neg flip3-- flip3-+ associate--l+ flip-- flip-+
1×associate-+r- frac-2neg clear-num associate-/l/ difference-of-squares
Counts
4 → 123
Calls
4 calls:
575.0ms
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
347.0ms
(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0)
42.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
6.0ms
(/ (/ 2.0 t) z)

series166.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (/ x y) (- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0))
31.0ms
(- (+ (/ (/ 2.0 t) z) (/ 2.0 t)) 2.0)
52.0ms
(+ (/ (/ 2.0 t) z) (/ 2.0 t))
22.0ms
(/ (/ 2.0 t) z)

simplify54.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0592978
12221941
25001941

prune317.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes97.0ms

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

sample724.0ms

Algorithm
intervals
Results
426.0ms10530×body80valid