Details

Time bar (total: 8.4s)

sample97.0ms

Algorithm
intervals
Results
33.0ms746×body80nan
9.0ms30×body640valid
9.0ms180×body80valid
7.0ms9×body1280valid
5.0ms26×body320valid
2.0ms13×body160valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(* x (log y))
6.4b
(log (- 1.0 y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt log-prod
9×*-un-lft-identity
7×add-cube-cbrt
6×pow1
5×add-exp-log
4×associate-*r* add-cbrt-cube
3×distribute-rgt-in distribute-lft-in associate-*l*
2×expm1-log1p-u log-div log-pow log1p-expm1-u add-log-exp
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 45
Calls
2 calls:
4.0ms
(* x (log y))
3.0ms
(log (- 1.0 y))

series81.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(* x (log y))
45.0ms
(log (- 1.0 y))

simplify67.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0225230
1707203
22639194
35002194

prune154.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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)))))))
0.3b
(* x (log y))

rewrite92.0ms

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:
34.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
26.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
12.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
6.0ms
(* x (log y))

series309.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
47.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
125.0ms
(+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
38.0ms
(* x (log y))

simplify121.0ms

Algorithm
egg-herbie
Counts
264 → 264
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
010323139
141952176
250012168

prune816.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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)

rewrite9.0ms

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:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series743.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt y) (cbrt y))
179.0ms
(cbrt y)
184.0ms
(cbrt y)
180.0ms
(cbrt y)

simplify89.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune484.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.2b
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.3b
(* x (log y))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
192×sqrt-prod
168×prod-diff
129×add-sqr-sqrt
127×*-un-lft-identity
117×add-cube-cbrt
95×distribute-rgt-in distribute-lft-in
88×associate-+r+
40×pow1
27×log-pow
20×associate-*r*
13×add-exp-log add-cbrt-cube
12×log-prod
10×associate-*r/
7×associate-*l*
6×associate-+l+ add-log-exp
5×flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
4×expm1-log1p-u frac-times sub-neg log1p-expm1-u difference-of-squares
3×flip3-- *-commutative flip-- distribute-lft-out distribute-lft-out--
2×associate-*l/ unswap-sqr
1×+-commutative fma-def sum-log
Counts
4 → 285
Calls
4 calls:
22.0ms
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
36.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
79.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
4.0ms
(* x (log y))

series835.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(+ (* x (log y)) (* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
189.0ms
(* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
479.0ms
(* (* z (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
38.0ms
(* x (log y))

simplify118.0ms

Algorithm
egg-herbie
Counts
297 → 297
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
0113511699
150018770

prune970.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.1b

regimes219.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03019
13019

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.1s24277×body80nan
292.0ms5613×body80valid
249.0ms860×body640valid
235.0ms398×body1280valid
126.0ms697×body320valid
49.0ms466×body160valid