Details

Time bar (total: 6.2s)

sample121.0ms

Algorithm
intervals
Results
46.0ms822×body80nan
15.0ms189×body80valid
10.0ms14×body1280valid
7.0ms21×body640valid
4.0ms19×body320valid
2.0ms14×body160valid

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune7.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 9.4b

Counts
2 → 1

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
4.2b
(log (- 1.0 y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
2×log-div flip3-- associate-*l/ flip--
1×*-commutative fma-udef
Counts
3 → 6
Calls
3 calls:
4.0ms
(* (- z 1.0) (log (- 1.0 y)))
1.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
2.0ms
(log (- 1.0 y))

series288.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (- z 1.0) (log (- 1.0 y)))
203.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
43.0ms
(log (- 1.0 y))

simplify69.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0251115
1744109
22584104
35001100

prune74.0ms

Filtered
15 candidates to 15 candidates (100.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New12315
Fresh000
Picked011
Done000
Total12416

Merged error: 0.2b

Counts
16 → 4

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×associate-*r/
6×flip3-- flip-- unpow2 sqr-pow
5×associate-*r*
4×frac-times times-frac
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ clear-num associate-/r* *-commutative associate-/l*
1×frac-2neg un-div-inv fma-udef div-inv
Counts
3 → 28
Calls
3 calls:
5.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
5.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
1.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

series331.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
66.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
213.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))

simplify40.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0272309
11203304
25001301

prune162.0ms

Filtered
37 candidates to 28 candidates (75.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36137
Fresh022
Picked101
Done011
Total37441

Merged error: 0.2b

Counts
41 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (log y) (- x 1.0)) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.1b
(* (log y) (- x 1.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-*r/
11×flip3-- flip--
9×sub-neg
8×distribute-rgt-in distribute-lft-in
6×associate-+r+ unpow2 sqr-pow
5×associate-*r*
4×frac-times associate-+l+ times-frac frac-add associate--l+ *-commutative
2×fma-def associate-*l/ clear-num associate-/r* associate-/l*
1×+-commutative associate-+r- frac-2neg flip3-+ un-div-inv flip-+ div-inv
Counts
4 → 54
Calls
4 calls:
11.0ms
(+ (* (log y) (- x 1.0)) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
5.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
5.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
3.0ms
(* (log y) (- x 1.0))

series433.0ms

Counts
4 → 12
Calls
4 calls:
225.0ms
(+ (* (log y) (- x 1.0)) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
51.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
65.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
93.0ms
(* (log y) (- x 1.0))

simplify69.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0553868
12527852
25001848

prune304.0ms

Filtered
66 candidates to 48 candidates (72.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61566
Fresh112
Picked101
Done011
Total63770

Merged error: 0.1b

Counts
70 → 7

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (- 1.0) (log y) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.2b
(* x (log y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
9×associate-*r/
6×flip3-- flip-- unpow2 sqr-pow
5×associate-*r*
4×frac-times times-frac
3×*-commutative
2×distribute-rgt-in sub-neg distribute-lft-in associate-*l/ clear-num associate-/r* associate-/l*
1×frac-2neg un-div-inv fma-udef div-inv
Counts
4 → 29
Calls
4 calls:
1.0ms
(fma (- 1.0) (log y) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
5.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
5.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
2.0ms
(* x (log y))

series301.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(fma (- 1.0) (log y) (- (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
67.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
37.0ms
(* x (log y))

simplify38.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0291332
11255314
25001306

prune178.0ms

Filtered
41 candidates to 30 candidates (73.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New41041
Fresh055
Picked011
Done011
Total41748

Merged error: 0.1b

Counts
48 → 7

regimes338.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02917
12917

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.3s23996×body80nan
361.0ms5894×body80valid
259.0ms770×body640valid
164.0ms251×body1280valid
144.0ms693×body320valid
55.0ms424×body160valid