Details

Time bar (total: 7.9s)

sample95.0ms

Algorithm
intervals
Results
35.0ms746×body80nan
10.0ms193×body80valid
9.0ms28×body640valid
4.0ms21×body320valid
3.0ms5×body1280valid
1.0ms11×body160valid

simplify129.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- x 1.0) (log y))
6.4b
(log (- 1.0 y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×log-prod *-un-lft-identity
7×add-cube-cbrt
6×pow1
5×add-exp-log associate-*l*
4×associate-*r* add-cbrt-cube
3×distribute-rgt-in distribute-lft-in
2×log-div flip3-- associate-*l/ log-pow flip-- distribute-lft-out-- add-log-exp difference-of-squares
1×rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 45
Calls
2 calls:
10.0ms
(* (- x 1.0) (log y))
2.0ms
(log (- 1.0 y))

series106.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* (- x 1.0) (log y))
44.0ms
(log (- 1.0 y))

simplify90.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0264282
1871252
24173240
35002240

prune174.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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
(* 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)))))))
0.2b
(* (- x 1.0) (log y))

rewrite236.0ms

Algorithm
rewrite-expression-head
Rules
94×add-sqr-sqrt
80×times-frac
78×associate-*r*
57×*-un-lft-identity
56×unpow-prod-down
50×add-cube-cbrt
31×add-exp-log
27×flip3-- flip--
24×log-prod associate-*l/ unpow2 sqr-pow
19×unswap-sqr
16×distribute-rgt-in distribute-lft-in frac-add
13×associate-*l* add-cbrt-cube
12×pow1 frac-times prod-exp associate--l+
10×associate-+r+
9×div-exp
7×associate-*r/
6×pow-to-exp associate-+l+ pow-exp add-log-exp
4×sub-neg cbrt-unprod distribute-lft-out--
3×pow-prod-down *-commutative difference-of-squares
2×log-pow
1×cbrt-undiv +-commutative flip3-+ sum-log flip-+ div-inv
Counts
4 → 223
Calls
4 calls:
173.0ms
(* (- z 1.0) (- (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)))
11.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
15.0ms
(* (- x 1.0) (log y))

series332.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
156.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
56.0ms
(* (- x 1.0) (log y))

simplify61.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013322812
150012662

prune962.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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

series757.0ms

Counts
4 → 12
Calls
4 calls:
213.0ms
(* (cbrt y) (cbrt y))
186.0ms
(cbrt y)
179.0ms
(cbrt y)
179.0ms
(cbrt y)

simplify90.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (85.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune467.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- z 1.0))
0.3b
(cbrt (- z 1.0))
0.3b
(cbrt (- z 1.0))
0.3b
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
2.0ms
(cbrt (- z 1.0))
2.0ms
(cbrt (- z 1.0))
2.0ms
(cbrt (- z 1.0))
19.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

series438.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(cbrt (- z 1.0))
101.0ms
(cbrt (- z 1.0))
103.0ms
(cbrt (- z 1.0))
131.0ms
(* (cbrt (- z 1.0)) (cbrt (- z 1.0)))

simplify49.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0368838
11230798
25001733

prune556.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes291.0ms

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
03523
13523

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.2s24277×body80nan
324.0ms5914×body80valid
230.0ms760×body640valid
156.0ms255×body1280valid
123.0ms659×body320valid
50.0ms446×body160valid