Details

Time bar (total: 3.0s)

sample27.0ms

Algorithm
intervals
Results
13.0ms330×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (13.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.3b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
0.0b
(* (* z 2.0) (- 1.0 t))
9.4b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
27×add-sqr-sqrt
25×add-cube-cbrt
18×prod-diff
13×add-exp-log fma-def add-cbrt-cube
12×times-frac
11×distribute-rgt-in distribute-lft-in
8×pow1
5×associate-*r* add-log-exp
4×prod-exp cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u associate-/l*
2×cbrt-undiv sub-neg flip3-+ associate-*r/ div-exp flip-+ div-inv associate-/l/
1×+-commutative flip3-- frac-2neg associate-*l* frac-add clear-num associate-/r* sum-log *-commutative flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
3 → 99
Calls
3 calls:
13.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.0ms
(* (* z 2.0) (- 1.0 t))
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series167.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
46.0ms
(* (* z 2.0) (- 1.0 t))
68.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify78.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0553869
12416670
25001668

prune261.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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)))
0.3b
(/ 1 (* t z))

rewrite15.0ms

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:
1.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
7.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
5.0ms
(/ 1 (* t z))

series112.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(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 (96.0ms)

IterNodesCost
0227393
1815355
23966341
35001339

prune226.0ms

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) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
0.0b
(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.3b
(* (/ 1 t) (/ 1 z))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
43×add-exp-log
39×times-frac
32×*-un-lft-identity
24×add-cube-cbrt
16×div-exp prod-exp
15×add-cbrt-cube
13×fma-def associate-*r* associate-*l*
9×unswap-sqr
8×rec-exp 1-exp
7×pow1
5×add-log-exp
4×cbrt-undiv cbrt-unprod
3×expm1-log1p-u pow-prod-down log1p-expm1-u div-inv
2×pow-flip fma-udef inv-pow
1×+-commutative frac-times associate-+r+ flip3-+ associate-*r/ associate-*l/ sum-log un-div-inv *-commutative flip-+ distribute-lft-out
Counts
3 → 110
Calls
3 calls:
1.0ms
(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
7.0ms
(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
16.0ms
(* (/ 1 t) (/ 1 z))

series111.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
58.0ms
(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
13.0ms
(* (/ 1 t) (/ 1 z))

simplify59.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0487693
11846583
25001537

prune323.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:
1.0ms
(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms
(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
7.0ms
(/ (/ 1 z) t)

series99.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0))
57.0ms
(+ (/ x y) (fma 2.0 (/ (/ 1 z) t) (- (* 2.0 (/ 1 t)) 2.0)))
10.0ms
(/ (/ 1 z) t)

simplify53.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0434748
11557681
25001633

prune311.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes122.0ms

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
0188
1188

end0.0ms

sample683.0ms

Algorithm
intervals
Results
421.0ms10373×body80valid