Details

Time bar (total: 3.0s)

sample27.0ms

Algorithm
intervals
Results
12.0ms317×body80valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 4 (16.0ms)

IterNodesCost
0258
1508
21068
32088
43226
55206
614396
750026

prune10.0ms

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: 9.8b

Counts
2 → 2

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)))
9.9b
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

rewrite38.0ms

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:
14.0ms
(* (* z 2.0) (- 1.0 t))
13.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
7.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

series170.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* (* z 2.0) (- 1.0 t))
56.0ms
(+ (/ x y) (/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z)))
66.0ms
(/ (+ 2.0 (* (* z 2.0) (- 1.0 t))) (* t z))

simplify86.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0553869
12416670
25001668

prune245.0ms

Filtered
108 candidates to 69 candidates (63.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1044108
Fresh011
Picked101
Done000
Total1055110

Merged error: 0.0b

Counts
110 → 5

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))
0.6b
(/ 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:
8.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
1.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
6.0ms
(/ 1 (* t z))

series123.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (/ x y) (fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0)))
37.0ms
(fma 2.0 (/ 1 (* t z)) (- (* 2.0 (/ 1 t)) 2.0))
19.0ms
(/ 1 (* t z))

simplify109.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0227393
1815355
23966341
35001339

prune194.0ms

Filtered
77 candidates to 56 candidates (72.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh134
Picked011
Done000
Total77582

Merged error: 0.0b

Counts
82 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
9.2b
(/ (fma z (- 1.0 t) 1) z)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
1×cbrt-undiv frac-2neg div-exp clear-num fma-udef div-inv
Counts
2 → 39
Calls
2 calls:
1.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
4.0ms
(/ (fma z (- 1.0 t) 1) z)

series130.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(fma (/ (fma z (- 1.0 t) 1) z) (/ 2.0 t) (/ x y))
33.0ms
(/ (fma z (- 1.0 t) 1) z)

simplify55.0ms

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0142296
1371268
21311266
35001265

prune131.0ms

Filtered
45 candidates to 37 candidates (82.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New45045
Fresh033
Picked011
Done011
Total45550

Merged error: 0.0b

Counts
50 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

3.0b
(* y (* t z))
4.2b
(* x (* t z))
4.8b
(fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z)))
23.7b
(/ (fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z))) (* y (* t z)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×pow1
9×prod-exp cbrt-unprod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*l* pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv times-frac div-exp associate-/l*
2×associate-*r* *-commutative
1×frac-2neg clear-num associate-/r* fma-udef div-inv
Counts
4 → 75
Calls
4 calls:
5.0ms
(* y (* t z))
5.0ms
(* x (* t z))
1.0ms
(fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z)))
6.0ms
(/ (fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z))) (* y (* t z)))

series294.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* y (* t z))
27.0ms
(* x (* t z))
79.0ms
(fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z)))
161.0ms
(/ (fma y (fma z (* 2.0 (- 1.0 t)) 2.0) (* x (* t z))) (* y (* t z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0307616
11289491
25001488

prune221.0ms

Filtered
87 candidates to 63 candidates (72.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New86187
Fresh022
Picked011
Done022
Total86692

Merged error: 0b

Counts
92 → 6

regimes196.0ms

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
0198
1198

end0.0ms

sample695.0ms

Algorithm
intervals
Results
421.0ms10523×body80valid