Details

Time bar (total: 5.9s)

sample101.0ms

Algorithm
intervals
Results
39.0ms788×body80nan
10.0ms189×body80valid
9.0ms30×body640valid
5.0ms7×body1280valid
3.0ms16×body320valid
2.0ms16×body160valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune8.0ms

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: 6.9b

Counts
2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
5.4b
(log (- 1.0 y))

rewrite3.0ms

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

series245.0ms

Counts
2 → 6
Calls
2 calls:
199.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (log (- 1.0 y))) t))
45.0ms
(log (- 1.0 y))

simplify50.0ms

Algorithm
egg-herbie
Counts
9 → 9
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
018173
152769
2179566
3500265

prune45.0ms

Filtered
9 candidates to 9 candidates (100.0%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New729
Fresh011
Picked101
Done000
Total8311

Merged error: 0.1b

Counts
11 → 3

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(* 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
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms
(* 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))

series326.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
50.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
211.0ms
(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))

simplify38.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0272309
11203304
25001301

prune152.0ms

Filtered
37 candidates to 29 candidates (78.4%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New36137
Fresh112
Picked101
Done000
Total38240

Merged error: 0.1b

Counts
40 → 2

localize19.0ms

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
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
0.0b
(* 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:
12.0ms
(+ (* (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
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
3.0ms
(* (log y) (- x 1.0))

series436.0ms

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))
67.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
48.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
96.0ms
(* (log y) (- x 1.0))

simplify72.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0553868
12527852
25002848

prune266.0ms

Filtered
66 candidates to 48 candidates (72.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63366
Fresh011
Picked011
Done000
Total63568

Merged error: 0.1b

Counts
68 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))
0.1b
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))) t))
2.4b
(log (- (* 1.0 1.0) (* y y)))
5.5b
(log (+ 1.0 y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
8×log-div log-prod *-commutative difference-of-squares
4×associate--l+
3×flip3-- flip--
2×associate--l- flip3-+ flip-+ associate--r-
1×sub-neg diff-log fma-udef
Counts
4 → 22
Calls
4 calls:
7.0ms
(- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))
1.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))) t))
5.0ms
(log (- (* 1.0 1.0) (* y y)))
2.0ms
(log (+ 1.0 y))

series513.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))
261.0ms
(fma (log y) (- x 1.0) (- (* (- z 1.0) (- (log (- (* 1.0 1.0) (* y y))) (log (+ 1.0 y)))) t))
100.0ms
(log (- (* 1.0 1.0) (* y y)))
42.0ms
(log (+ 1.0 y))

simplify135.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
0363293
11199286
24541275
35001273

prune121.0ms

Filtered
34 candidates to 27 candidates (79.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New34034
Fresh033
Picked011
Done011
Total34539

Merged error: 0.1b

Counts
39 → 5

regimes262.0ms

Accuracy

0% (0.2b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02815
12815

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s23898×body80nan
325.0ms5883×body80valid
240.0ms784×body640valid
165.0ms264×body1280valid
120.0ms647×body320valid
51.0ms450×body160valid