Details

Time bar (total: 8.2s)

sample100.0ms

Algorithm
intervals
Results
40.0ms797×body80nan
10.0ms196×body80valid
8.0ms26×body640valid
5.0ms7×body1280valid
2.0ms18×body160valid
2.0ms11×body320valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0279
1578
21368
33128
47098
516298
635648
750018

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.1b

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)
0.1b
(* (- x 1.0) (log y))
5.4b
(log (- 1.0 y))

rewrite78.0ms

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:
15.0ms
(* (- z 1.0) (log (- 1.0 y)))
44.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
11.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series319.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (- z 1.0) (log (- 1.0 y)))
176.0ms
(- (+ (* (- 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 (48.0ms)

IterNodesCost
05871089
12183902
25001886

prune350.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 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
(- (+ (* (- 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)))))))
0.1b
(* (- x 1.0) (log y))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
60×*-un-lft-identity
57×prod-diff
51×add-cube-cbrt
40×distribute-rgt-in distribute-lft-in
34×associate-+r+
28×flip3-- flip--
24×log-prod associate-*l/
22×pow1
16×frac-add
14×log-pow
13×associate--l+
12×frac-times
11×add-log-exp
10×associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×expm1-log1p-u log1p-expm1-u difference-of-squares
3×fma-neg
2×diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
1×+-commutative fma-def flip3-+ flip-+
Counts
4 → 198
Calls
4 calls:
41.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
48.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
18.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
12.0ms
(* (- x 1.0) (log y))

series517.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
242.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
149.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
59.0ms
(* (- x 1.0) (log y))

simplify66.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
011274542
150023496

prune801.0ms

Pruning

7 alts after pruning (7 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)

rewrite10.0ms

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))
0.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series728.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
174.0ms
(cbrt y)
173.0ms
(cbrt y)
184.0ms
(cbrt y)

simplify86.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune519.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
0.5b
(cbrt (* (- x 1.0) (log y)))
0.5b
(cbrt (* (- x 1.0) (log y)))
0.5b
(cbrt (* (- x 1.0) (log y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
12.0ms
(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
4.0ms
(cbrt (* (- x 1.0) (log y)))
4.0ms
(cbrt (* (- x 1.0) (log y)))
4.0ms
(cbrt (* (- x 1.0) (log y)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (* (- x 1.0) (log y))) (cbrt (* (- x 1.0) (log y))))
105.0ms
(cbrt (* (- x 1.0) (log y)))
105.0ms
(cbrt (* (- x 1.0) (log y)))
111.0ms
(cbrt (* (- x 1.0) (log y)))

simplify43.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03651042
11190977
25001938

prune493.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes255.0ms

Accuracy

0% (0.3b 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
03222
13222

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s24371×body80nan
332.0ms5863×body80valid
238.0ms765×body640valid
168.0ms274×body1280valid
134.0ms702×body320valid
49.0ms419×body160valid