Details

Time bar (total: 8.2s)

sample110.0ms

Algorithm
intervals
Results
41.0ms818×body80nan
10.0ms181×body80valid
8.0ms25×body640valid
8.0ms11×body1280valid
5.0ms28×body320valid
2.0ms14×body160valid

simplify130.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.8b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b
(* (- z 1.0) (log (- 1.0 y)))
0.1b
(* (- x 1.0) (log y))
7.8b
(log (- 1.0 y))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
37×log-prod
35×add-sqr-sqrt
31×*-un-lft-identity
17×add-cube-cbrt
16×distribute-rgt-in distribute-lft-in
12×associate-*l/
11×pow1
10×associate-+r+ associate-*l*
9×add-exp-log
8×associate-*r* add-cbrt-cube
7×flip3-- flip-- distribute-lft-out-- difference-of-squares
6×associate-+l+ add-log-exp
4×frac-add
3×log-pow
2×log-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ rem-log-exp sum-log flip-+
Counts
4 → 109
Calls
4 calls:
11.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
8.0ms
(* (- z 1.0) (log (- 1.0 y)))
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series268.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
46.0ms
(* (- z 1.0) (log (- 1.0 y)))
52.0ms
(* (- x 1.0) (log y))
46.0ms
(log (- 1.0 y))

simplify69.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0621970
12460896
25003883

prune346.0ms

Filtered
121 candidates to 91 candidates (75.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1138121
Fresh000
Picked101
Done000
Total1148122

Merged error: 0.0b

Counts
122 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
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)))))))
0.1b
(* (- x 1.0) (log y))

rewrite65.0ms

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:
23.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
12.0ms
(* (- 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)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
7.0ms
(* (- x 1.0) (log y))

series315.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
64.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
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)))))))
53.0ms
(* (- x 1.0) (log y))

simplify63.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013322812
150012662

prune817.0ms

Filtered
235 candidates to 163 candidates (69.4%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New2314235
Fresh437
Picked101
Done000
Total2367243

Merged error: 0.0b

Counts
243 → 7

localize27.0ms

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)

rewrite11.0ms

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

series717.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt y) (cbrt y))
178.0ms
(cbrt y)
169.0ms
(cbrt y)
177.0ms
(cbrt y)

simplify89.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (84.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune404.0ms

Filtered
85 candidates to 64 candidates (75.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New83285
Fresh066
Picked101
Done000
Total84892

Merged error: 0.0b

Counts
92 → 8

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)

rewrite12.0ms

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:
5.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series724.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt y) (cbrt y))
177.0ms
(cbrt y)
179.0ms
(cbrt y)
168.0ms
(pow y 1/3)

simplify146.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0173288
1778209
24921194
35002194

prune394.0ms

Filtered
92 candidates to 66 candidates (71.7%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh077
Picked011
Done000
Total928100

Merged error: 0.0b

Counts
100 → 8

regimes345.0ms

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
03723
13723

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s23888×body80nan
336.0ms5906×body80valid
235.0ms745×body640valid
169.0ms272×body1280valid
131.0ms662×body320valid
55.0ms451×body160valid