Details

Time bar (total: 8.5s)

sample99.0ms

Algorithm
intervals
Results
38.0ms736×body80nan
10.0ms187×body80valid
9.0ms29×body640valid
4.0ms24×body320valid
4.0ms7×body1280valid
1.0ms12×body160valid

simplify67.0ms

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
New101
Fresh011
Picked000
Done000
Total112

Merged error: 7.6b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b
(* (- x 1.0) (log y))
4.4b
(log (- 1.0 y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
32×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×expm1-log1p-u flip3-- associate-*l/ flip-- log1p-expm1-u
3×fma-neg log-pow
2×log-div diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 114
Calls
4 calls:
9.0ms
(* (- z 1.0) (log (- 1.0 y)))
13.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- x 1.0) (log y))
4.0ms
(log (- 1.0 y))

series298.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(* (- z 1.0) (log (- 1.0 y)))
155.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
58.0ms
(* (- x 1.0) (log y))
43.0ms
(log (- 1.0 y))

simplify62.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05871089
12183902
25001886

prune342.0ms

Filtered
126 candidates to 89 candidates (70.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1197126
Fresh000
Picked101
Done000
Total1207127

Merged error: 0.0b

Counts
127 → 7

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (- x 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
(+ (* (- x 1.0) (log y)) (* (- 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)))
0.2b
(* (- x 1.0) (log y))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
107×add-sqr-sqrt
80×times-frac
72×associate-*r*
71×*-un-lft-identity
67×add-cube-cbrt
56×unpow-prod-down
34×associate-+r+
33×prod-diff
29×add-exp-log
24×unpow2 sqr-pow
23×distribute-rgt-in distribute-lft-in
22×flip3-- associate-*l/ flip--
18×log-prod unswap-sqr
16×frac-add
15×pow1
11×prod-exp add-cbrt-cube add-log-exp
9×div-exp
8×frac-times associate-*l*
7×associate--l+ log-pow
6×pow-to-exp associate-+l+ pow-exp
5×associate-*r/
4×expm1-log1p-u log1p-expm1-u
3×sub-neg fma-neg cbrt-unprod
2×diff-log pow-prod-down sum-log *-commutative distribute-lft-out-- difference-of-squares
1×cbrt-undiv +-commutative fma-def flip3-+ flip-+ div-inv
Counts
4 → 243
Calls
4 calls:
16.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
15.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
20.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
7.0ms
(* (- x 1.0) (log y))

series503.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
150.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
55.0ms
(* (- x 1.0) (log y))

simplify71.0ms

Algorithm
egg-herbie
Counts
255 → 255
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
015313425
150012940

prune906.0ms

Filtered
255 candidates to 175 candidates (68.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2523255
Fresh246
Picked011
Done000
Total2548262

Merged error: 0.0b

Counts
262 → 8

localize26.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(cbrt y)

series750.0ms

Counts
4 → 12
Calls
4 calls:
202.0ms
(* (cbrt y) (cbrt y))
178.0ms
(cbrt y)
176.0ms
(cbrt y)
194.0ms
(cbrt y)

simplify86.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune438.0ms

Filtered
93 candidates to 72 candidates (77.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92193
Fresh066
Picked101
Done011
Total938101

Merged error: 0.0b

Counts
101 → 8

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.0b
(pow (cbrt (cbrt y)) 5)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
4.0ms
(pow (cbrt (cbrt y)) 5)

series867.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
181.0ms
(cbrt y)
180.0ms
(cbrt y)
331.0ms
(pow (cbrt (cbrt y)) 5)

simplify50.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0145281
1393263
21278257
35002249

prune443.0ms

Filtered
77 candidates to 63 candidates (81.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New76177
Fresh156
Picked101
Done011
Total78785

Merged error: 0.0b

Counts
85 → 7

regimes359.0ms

Accuracy

0% (0.3b 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
02815
12815

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s23589×body80nan
316.0ms5813×body80valid
247.0ms820×body640valid
170.0ms275×body1280valid
130.0ms693×body320valid
48.0ms424×body160valid