Details

Time bar (total: 9.0s)

sample110.0ms

Algorithm
intervals
Results
43.0ms839×body80nan
11.0ms25×body640valid
11.0ms187×body80valid
5.0ms25×body320valid
4.0ms6×body1280valid
1.0ms13×body160valid

simplify132.0ms

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))

rewrite35.0ms

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:
11.0ms
(* (- 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))

series301.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (- z 1.0) (log (- 1.0 y)))
156.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
60.0ms
(* (- x 1.0) (log y))
44.0ms
(log (- 1.0 y))

simplify47.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0498803
11805714
25001701

prune309.0ms

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))

rewrite67.0ms

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:
21.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
16.0ms
(* (- 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))

series341.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
69.0ms
(* (- 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)))))))
64.0ms
(* (- x 1.0) (log y))

simplify54.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
013322812
150012662

prune942.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

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)

series751.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (cbrt y) (cbrt y))
180.0ms
(cbrt y)
183.0ms
(cbrt y)
181.0ms
(cbrt y)

simplify88.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune454.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (- x 1.0) (log (exp (* 2/3 (log y))))) (+ (* (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)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
68×frac-add
58×flip3-- flip--
44×associate-*l/
42×log-prod
40×associate-*r/
21×distribute-rgt-in distribute-lft-in
19×add-sqr-sqrt
18×associate-+l+ exp-sum
17×add-cube-cbrt *-un-lft-identity
16×frac-times
11×add-log-exp
7×pow1
6×add-exp-log add-cbrt-cube
4×associate-*r*
3×cbrt-prod flip3-+ associate-*l* sum-log flip-+
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 → 119
Calls
4 calls:
19.0ms
(+ (* (- x 1.0) (log (exp (* 2/3 (log y))))) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
4.0ms
(* 2/3 (log y))
1.0ms
(cbrt y)
2.0ms
(exp (* 2/3 (log y)))

series781.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(+ (* (- x 1.0) (log (exp (* 2/3 (log y))))) (+ (* (log (cbrt y)) (- x 1.0)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))))
145.0ms
(* 2/3 (log y))
181.0ms
(cbrt y)
174.0ms
(exp (* 2/3 (log y)))

simplify72.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
015914481
150014405

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes437.0ms

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
331.0ms5938×body80valid
256.0ms820×body640valid
143.0ms233×body1280valid
123.0ms628×body320valid
48.0ms409×body160valid