Details

Time bar (total: 3.3s)

sample29.0ms

Algorithm
intervals
Results
13.0ms325×body80valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (18.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune14.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma z (- 1.0 t) 1)
0.2b
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
8.3b
(/ (fma z (- 1.0 t) 1) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×fma-udef
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 49
Calls
3 calls:
1.0ms
(fma z (- 1.0 t) 1)
1.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
3.0ms
(/ (fma z (- 1.0 t) 1) z)

series167.0ms

Counts
3 → 9
Calls
3 calls:
22.0ms
(fma z (- 1.0 t) 1)
110.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
34.0ms
(/ (fma z (- 1.0 t) 1) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0156346
1396307
21684305
35002304

prune218.0ms

Filtered
58 candidates to 47 candidates (81.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New52658
Fresh011
Picked101
Done000
Total53760

Merged error: 0.0b

Counts
60 → 7

localize12.0ms

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)))
8.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite34.0ms

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:
9.0ms
(* (* z 2.0) (- 1.0 t))
13.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
8.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series190.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (* z 2.0) (- 1.0 t))
63.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
72.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify88.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0553869
12416670
25001668

prune274.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1035108
Fresh516
Picked101
Done000
Total1096115

Merged error: 0.0b

Counts
115 → 6

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)))
0.8b
(/ 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:
1.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
8.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
5.0ms
(/ 1 (* t z))

series118.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
67.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
14.0ms
(/ 1 (* t z))

simplify96.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0227393
1815355
23966341
35001339

prune239.0ms

Filtered
77 candidates to 56 candidates (72.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New73477
Fresh325
Picked101
Done000
Total77683

Merged error: 0.0b

Counts
83 → 6

localize11.0ms

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)

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

series117.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(fma 2.0 (/ (/ 1 t) z) (- (* 2.0 (/ 1 t)) 2.0))
67.0ms
(+ (/ 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 (38.0ms)

IterNodesCost
0435754
11557686
25001636

prune329.0ms

Filtered
121 candidates to 80 candidates (66.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1183121
Fresh235
Picked101
Done000
Total1216127

Merged error: 0b

Counts
127 → 6

regimes172.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0177
1177

end0.0ms

sample943.0ms

Algorithm
intervals
Results
420.0ms10447×body80valid