Details

Time bar (total: 3.3s)

sample38.0ms

Algorithm
intervals
Results
23.0ms334×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (10.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.1b

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)))
9.1b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite47.0ms

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
(* (* z 2.0) (- 1.0 t))
20.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
10.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series164.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* (* z 2.0) (- 1.0 t))
48.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
66.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify73.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0553869
12416670
25001668

prune254.0ms

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
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
0.4b
(/ 1 (* t z))

rewrite16.0ms

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:
10.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
4.0ms
(/ 1 (* t z))

series106.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
36.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
13.0ms
(/ 1 (* t z))

simplify91.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0227393
1815355
23966341
35001339

prune213.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
10.0ms
(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms
(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms
(/ (/ 1 t) z)

series108.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(+ (/ x y) (fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0)))
34.0ms
(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
13.0ms
(/ (/ 1 t) z)

simplify45.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0435754
11557686
25001636

prune301.0ms

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
(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0b
(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
0.4b
(* (/ 1 t) (/ 1 z))

rewrite29.0ms

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:
10.0ms
(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
0.0ms
(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
15.0ms
(* (/ 1 t) (/ 1 z))

series107.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(+ (/ x y) (fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0)))
37.0ms
(fma 2.0 (* (/ 1 t) (/ 1 z)) (- (* 2.0 (/ 1 t)) 2.0))
12.0ms
(* (/ 1 t) (/ 1 z))

simplify55.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0487693
11846583
25001537

prune305.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes146.0ms

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
0199
1199

end0.0ms

sample1.0s

Algorithm
intervals
Results
741.0ms10412×body80valid