Details

Time bar (total: 3.8s)

sample47.0ms

Algorithm
intervals
Results
31.0ms338×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (18.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
41×add-sqr-sqrt
39×add-cube-cbrt
36×prod-diff
22×distribute-rgt-in associate-+r+ distribute-lft-in
16×fma-def
14×add-exp-log add-cbrt-cube
12×times-frac
9×pow1
8×add-log-exp
5×associate-*r*
4×expm1-log1p-u sub-neg prod-exp cbrt-unprod log1p-expm1-u
3×flip3-+ pow-prod-down flip-+ associate-/l*
2×cbrt-undiv +-commutative associate-*r/ div-exp sum-log div-inv associate-/l/
1×flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* *-commutative flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 137
Calls
4 calls:
14.0ms
(* (* z 2.0) (- 1.0 t))
6.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
18.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series210.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (* z 2.0) (- 1.0 t))
35.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
57.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
66.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify83.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06221150
12605863
25001850

prune386.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.5b
(/ 1 (* t z))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log *-un-lft-identity
13×fma-def
12×add-sqr-sqrt add-cube-cbrt times-frac
8×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp
3×expm1-log1p-u prod-exp log1p-expm1-u associate-/l*
2×cbrt-undiv rec-exp pow-flip 1-exp fma-udef div-inv
1×+-commutative associate-+r+ frac-2neg flip3-+ pow-prod-down clear-num associate-/r* sum-log cbrt-unprod flip-+ distribute-lft-out inv-pow
Counts
3 → 68
Calls
3 calls:
0.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
10.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
4.0ms
(/ 1 (* t z))

series115.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
64.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
13.0ms
(/ 1 (* t z))

simplify103.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0227393
1815355
23966341
35001339

prune214.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×*-un-lft-identity
52×add-sqr-sqrt add-cube-cbrt
13×fma-def associate-/l*
12×add-exp-log
8×add-cbrt-cube
6×div-exp div-inv
5×add-log-exp
3×pow1 cbrt-undiv expm1-log1p-u associate-/r* log1p-expm1-u
2×fma-udef
1×+-commutative rec-exp associate-+r+ frac-2neg flip3-+ 1-exp clear-num sum-log flip-+ associate-/l/ distribute-lft-out
Counts
3 → 112
Calls
3 calls:
0.0ms
(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
10.0ms
(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
6.0ms
(/ (/ 1 t) z)

series113.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
64.0ms
(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
13.0ms
(/ (/ 1 t) z)

simplify48.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0435754
11557686
25001636

prune314.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* z 2.0) (- 1.0 t))
0.0b
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.1b
(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
36×prod-diff
34×add-sqr-sqrt *-un-lft-identity
32×add-cube-cbrt
22×distribute-rgt-in associate-+r+ distribute-lft-in
14×add-exp-log add-cbrt-cube
9×pow1
6×add-log-exp
5×associate-*r*
4×expm1-log1p-u sub-neg prod-exp cbrt-unprod log1p-expm1-u
3×fma-def times-frac pow-prod-down associate-/l*
2×cbrt-undiv flip3-+ associate-*r/ div-exp flip-+ associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* clear-num associate-/r* sum-log *-commutative flip-- fma-udef div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 119
Calls
4 calls:
14.0ms
(* (* z 2.0) (- 1.0 t))
6.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
0.0ms
(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series261.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (* z 2.0) (- 1.0 t))
38.0ms
(+ 2.0 (* (* z 2.0) (- 1.0 t)))
111.0ms
(fma x (/ 1 y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
65.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify81.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
05471085
12308785
25001770

prune322.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes140.0ms

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
0178
1178

end0.0ms

sample1.1s

Algorithm
intervals
Results
854.0ms10426×body80valid