Details

Time bar (total: 8.8s)

sample115.0ms

Algorithm
intervals
Results
36.0ms777×body80nan
11.0ms37×body640valid
10.0ms16×body1280valid
8.0ms168×body80valid
4.0ms23×body320valid
1.0ms12×body160valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0227
1386
2536
3616
4786
51106
61756
72846
83636
93926
104766
114766

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.2b
(* x (log y))
4.9b
(log (- 1.0 y))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×*-un-lft-identity
21×log-prod
20×add-cube-cbrt
11×pow1
9×add-exp-log prod-diff add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×expm1-log1p-u log1p-expm1-u distribute-lft-out-- difference-of-squares
3×fma-neg log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 106
Calls
4 calls:
15.0ms
(* z (log (- 1.0 y)))
50.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
9.0ms
(* x (log y))
7.0ms
(log (- 1.0 y))

series251.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(* z (log (- 1.0 y)))
89.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
39.0ms
(* x (log y))
50.0ms
(log (- 1.0 y))

simplify70.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0519871
11908704
25001676

prune346.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
81×*-un-lft-identity
80×times-frac
78×add-cube-cbrt associate-*r*
56×unpow-prod-down
48×prod-diff
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
31×add-exp-log
24×pow1 log-prod unpow2 sqr-pow
19×unswap-sqr
14×log-pow
13×add-cbrt-cube
12×prod-exp associate--l+
9×div-exp associate-*l*
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×expm1-log1p-u sub-neg cbrt-unprod log1p-expm1-u
3×associate-*r/ pow-prod-down *-commutative
2×distribute-lft-out--
1×cbrt-undiv +-commutative flip3-- fma-def flip3-+ sum-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 252
Calls
4 calls:
74.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
45.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
27.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
9.0ms
(* x (log y))

series350.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
60.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
133.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
48.0ms
(* x (log y))

simplify142.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
010323139
141952176
250012168

prune935.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite17.0ms

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:
11.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series832.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (cbrt y) (cbrt y))
203.0ms
(cbrt y)
203.0ms
(cbrt y)
208.0ms
(cbrt y)

simplify107.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (102.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune538.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (fabs (pow y 1/3)) (fabs (pow y 1/3)))
0.6b
(cbrt y)
5.1b
(pow y 1/3)
5.1b
(pow y 1/3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×pow1 add-cube-cbrt *-un-lft-identity
8×add-exp-log
6×unpow-prod-down pow-unpow add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-prod swap-sqr associate-*r* associate-*l*
2×pow-to-exp pow-pow unpow1/3 pow-exp sqr-pow
1×pow2 pow-plus pow1/3 pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
7.0ms
(* (fabs (pow y 1/3)) (fabs (pow y 1/3)))
1.0ms
(cbrt y)
3.0ms
(pow y 1/3)
3.0ms
(pow y 1/3)

series625.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (fabs (pow y 1/3)) (fabs (pow y 1/3)))
203.0ms
(cbrt y)
198.0ms
(pow y 1/3)
205.0ms
(pow y 1/3)

simplify99.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0162299
1600256
22598238
35002222

prune516.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes179.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03321
13321

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.1s23758×body80nan
276.0ms5523×body80valid
263.0ms896×body640valid
236.0ms401×body1280valid
125.0ms732×body320valid
50.0ms474×body160valid