Details

Time bar (total: 8.9s)

sample110.0ms

Algorithm
intervals
Results
45.0ms839×body80nan
10.0ms187×body80valid
8.0ms25×body640valid
5.0ms25×body320valid
4.0ms6×body1280valid
1.0ms13×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: 7.1b

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))
5.2b
(log (- 1.0 y))

rewrite32.0ms

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:
9.0ms
(* (- z 1.0) (log (- 1.0 y)))
11.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series305.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(* (- z 1.0) (log (- 1.0 y)))
153.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
59.0ms
(* (- x 1.0) (log y))
46.0ms
(log (- 1.0 y))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0498803
11805714
25001701

prune331.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

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))

rewrite69.0ms

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:
25.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
13.0ms
(* (- 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)) (* (- 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))

series330.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
66.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
154.0ms
(+ (* (- 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))

simplify58.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013322812
150012662

prune948.0ms

Pruning

10 alts after pruning (9 fresh and 1 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)

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:
6.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series749.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt y) (cbrt y))
188.0ms
(cbrt y)
178.0ms
(cbrt y)
181.0ms
(cbrt y)

simplify85.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (80.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune457.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (log (exp (* 2/3 (log y)))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
0.4b
(* 2/3 (log y))
0.7b
(cbrt y)
5.1b
(exp (* 2/3 (log y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
76×associate-*r/
68×frac-add
58×flip3-- flip--
16×frac-times
13×add-sqr-sqrt
12×log-prod
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*l/
7×pow1
6×add-exp-log exp-sum add-cbrt-cube
4×associate-+l+ associate-*r*
3×cbrt-prod flip3-+ associate-*l* sum-log flip-+
2×sub-neg
1×+-commutative associate-+r+ exp-prod exp-to-pow pow1/3 pow-prod-down prod-exp log-pow *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
4 → 105
Calls
4 calls:
17.0ms
(+ (* (log (exp (* 2/3 (log y)))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
5.0ms
(* 2/3 (log y))
1.0ms
(cbrt y)
3.0ms
(exp (* 2/3 (log y)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(+ (* (log (exp (* 2/3 (log y)))) (- x 1.0)) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
140.0ms
(* 2/3 (log y))
181.0ms
(cbrt y)
176.0ms
(exp (* 2/3 (log y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015454136
150034063

prune866.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes459.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02815
12815

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.2s24011×body80nan
339.0ms5938×body80valid
264.0ms820×body640valid
145.0ms233×body1280valid
124.0ms628×body320valid
49.0ms409×body160valid