Details

Time bar (total: 8.3s)

sample100.0ms

Algorithm
intervals
Results
39.0ms826×body80nan
11.0ms199×body80valid
6.0ms9×body1280valid
4.0ms24×body320valid
4.0ms14×body640valid
2.0ms13×body160valid

simplify127.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0269
1499
21189
32569
45339
512509
626379
742979
845739
945889
1045889

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize15.0ms

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))
5.5b
(log (- 1.0 y))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×log-prod
13×add-cube-cbrt
11×pow1
10×associate-*l*
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×distribute-lft-out-- difference-of-squares
4×flip3-- associate-*l/ flip--
3×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 → 94
Calls
4 calls:
14.0ms
(* (- z 1.0) (log (- 1.0 y)))
36.0ms
(- (+ (* (- 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))

series302.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (- z 1.0) (log (- 1.0 y)))
153.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
58.0ms
(* (- x 1.0) (log y))
44.0ms
(log (- 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0498803
11805714
25001701

prune302.0ms

Filtered
106 candidates to 75 candidates (70.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

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

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×distribute-rgt-in add-cube-cbrt distribute-lft-in frac-add
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-+r+ associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 129
Calls
4 calls:
12.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
39.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
38.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
11.0ms
(* (- x 1.0) (log y))

series517.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
239.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
69.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
58.0ms
(* (- x 1.0) (log y))

simplify119.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
08882535
146742460
250012448

prune646.0ms

Filtered
141 candidates to 107 candidates (75.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
0.7b
(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×add-cbrt-cube 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 → 73
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series713.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt y) (cbrt y))
171.0ms
(cbrt y)
177.0ms
(cbrt y)
169.0ms
(cbrt y)

simplify86.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (81.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune442.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.0b
(pow y 1/3)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×cbrt-prod
16×add-cube-cbrt *-un-lft-identity
12×pow1
8×pow1/3
7×add-exp-log
6×swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 80
Calls
4 calls:
6.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series729.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt y) (cbrt y))
175.0ms
(cbrt y)
174.0ms
(cbrt y)
173.0ms
(pow y 1/3)

simplify147.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0173288
1778209
24922194
35003194

prune433.0ms

Filtered
92 candidates to 65 candidates (70.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

regimes343.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04227
14227

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s24591×body80nan
321.0ms5861×body80valid
241.0ms780×body640valid
175.0ms288×body1280valid
128.0ms698×body320valid
48.0ms407×body160valid