Details

Time bar (total: 7.8s)

sample105.0ms

Algorithm
intervals
Results
42.0ms823×body80nan
11.0ms196×body80valid
6.0ms19×body640valid
6.0ms9×body1280valid
4.0ms20×body320valid
1.0ms13×body160valid

simplify132.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 5.6b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b
(* (- x 1.0) (log y))
5.2b
(log (- 1.0 y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×*-un-lft-identity
11×log-prod
8×add-cube-cbrt add-log-exp
7×pow1
6×add-exp-log
5×associate-*l* add-cbrt-cube
4×associate-*r*
3×distribute-rgt-in flip3-- distribute-lft-in flip-- distribute-lft-out-- difference-of-squares
2×log-div diff-log associate-*l/ log-pow
1×sub-neg rem-log-exp pow-prod-down prod-exp associate--l+ sum-log *-commutative cbrt-unprod unswap-sqr
Counts
3 → 61
Calls
3 calls:
36.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
10.0ms
(* (- x 1.0) (log y))
2.0ms
(log (- 1.0 y))

series255.0ms

Counts
3 → 9
Calls
3 calls:
153.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
59.0ms
(* (- x 1.0) (log y))
43.0ms
(log (- 1.0 y))

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0387535
11306476
25002456

prune232.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 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)))))))
0.1b
(* (- x 1.0) (log y))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
27×flip3-- flip--
25×add-sqr-sqrt
24×log-prod associate-*l/
22×*-un-lft-identity
16×distribute-rgt-in distribute-lft-in frac-add
15×add-cube-cbrt
12×frac-times associate--l+
10×associate-+r+ associate-*r* associate-*l*
9×pow1
7×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×add-log-exp
4×sub-neg distribute-lft-out--
3×difference-of-squares
2×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
3 → 113
Calls
3 calls:
33.0ms
(* (- 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)))))))
11.0ms
(* (- x 1.0) (log y))

series278.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
153.0ms
(+ (* (- x 1.0) (log y)) (* (- 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))

simplify117.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08332174
144572102
250012093

prune598.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

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

series724.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
184.0ms
(cbrt y)
169.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify87.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (82.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune462.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.2b
(pow (/ 1 y) -1/3)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
22×cbrt-prod add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down
11×add-exp-log
9×times-frac
8×pow1/3
6×swap-sqr associate-*r* associate-*l*
4×pow-exp add-cbrt-cube add-log-exp unswap-sqr
3×pow-unpow pow-pow
2×div-exp pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp rec-exp pow-flip pow-plus 1-exp prod-exp *-commutative cbrt-unprod div-inv inv-pow sqr-pow
Counts
4 → 94
Calls
4 calls:
9.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
4.0ms
(pow (/ 1 y) -1/3)

series718.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt y) (cbrt y))
176.0ms
(cbrt y)
173.0ms
(cbrt y)
172.0ms
(pow (/ 1 y) -1/3)

simplify45.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0276402
11209361
25002320

prune539.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes320.0ms

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
03723
13723

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s24472×body80nan
311.0ms5804×body80valid
256.0ms833×body640valid
162.0ms265×body1280valid
128.0ms695×body320valid
48.0ms434×body160valid