Details

Time bar (total: 8.2s)

sample102.0ms

Algorithm
intervals
Results
37.0ms772×body80nan
11.0ms35×body640valid
9.0ms171×body80valid
5.0ms9×body1280valid
4.0ms23×body320valid
2.0ms18×body160valid

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b
(* z (log (- 1.0 y)))
0.2b
(* x (log y))
4.8b
(log (- 1.0 y))

rewrite28.0ms

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:
9.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms
(* z (log (- 1.0 y)))
4.0ms
(* x (log y))
4.0ms
(log (- 1.0 y))

series227.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
61.0ms
(* z (log (- 1.0 y)))
40.0ms
(* x (log y))
42.0ms
(log (- 1.0 y))

simplify61.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0519871
11908704
25001676

prune318.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
109×add-sqr-sqrt
80×times-frac
78×associate-*r*
72×*-un-lft-identity
67×add-cube-cbrt
56×unpow-prod-down
33×prod-diff
31×add-exp-log
24×unpow2 sqr-pow
20×distribute-rgt-in distribute-lft-in
19×unswap-sqr
18×pow1
13×add-cbrt-cube
12×log-prod prod-exp
9×div-exp associate-*l* add-log-exp
8×log-pow
7×associate--l+
6×pow-to-exp pow-exp
4×expm1-log1p-u cbrt-unprod log1p-expm1-u
3×sub-neg fma-neg associate-*r/ pow-prod-down *-commutative distribute-lft-out--
2×flip3-- diff-log flip-- difference-of-squares
1×cbrt-undiv sum-log div-inv
Counts
4 → 228
Calls
4 calls:
20.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
7.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
10.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
5.0ms
(* x (log y))

series370.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
175.0ms
(- (+ (* x (log y)) (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
100.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
43.0ms
(* x (log y))

simplify117.0ms

Algorithm
egg-herbie
Counts
240 → 240
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
010043039
146932049
250012036

prune720.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
119×add-sqr-sqrt
82×*-un-lft-identity
80×times-frac
79×add-cube-cbrt
78×associate-*r*
56×unpow-prod-down
51×prod-diff
46×associate--l+
40×distribute-rgt-in distribute-lft-in
39×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
9×div-exp associate-*l* add-log-exp
6×pow-to-exp associate-+l+ pow-exp
5×sub-neg
4×expm1-log1p-u cbrt-unprod log1p-expm1-u
3×associate-*r/ pow-prod-down *-commutative
2×sum-log distribute-lft-out--
1×cbrt-undiv +-commutative associate-+r- flip3-- fma-def flip3-+ diff-log flip-- flip-+ div-inv difference-of-squares
Counts
4 → 259
Calls
4 calls:
20.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
19.0ms
(+ (* x (log y)) (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
10.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
4.0ms
(* x (log y))

series374.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
180.0ms
(+ (* x (log y)) (- (* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))) t))
100.0ms
(* z (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
45.0ms
(* x (log y))

simplify130.0ms

Algorithm
egg-herbie
Counts
271 → 271
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
010993269
143622277
250012266

prune869.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

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)

rewrite12.0ms

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:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series733.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt y) (cbrt y))
176.0ms
(cbrt y)
182.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune498.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes352.0ms

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
03720
13920
23920

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s23975×body80nan
289.0ms5569×body80valid
252.0ms421×body1280valid
248.0ms831×body640valid
137.0ms758×body320valid
53.0ms446×body160valid