Details

Time bar (total: 10.2s)

sample148.0ms

Algorithm
intervals
Results
69.0ms819×body80nan
18.0ms195×body80valid
10.0ms21×body640valid
7.0ms8×body1280valid
5.0ms16×body320valid
3.0ms17×body160valid

simplify136.0ms

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: 6.5b

localize14.0ms

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)
0.2b
(* (- x 1.0) (log y))
5.6b
(log (- 1.0 y))

rewrite65.0ms

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:
14.0ms
(* (- z 1.0) (log (- 1.0 y)))
35.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
11.0ms
(* (- x 1.0) (log y))
3.0ms
(log (- 1.0 y))

series312.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (- z 1.0) (log (- 1.0 y)))
163.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
63.0ms
(* (- x 1.0) (log y))
44.0ms
(log (- 1.0 y))

simplify48.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0498803
11805714
25001701

prune314.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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

rewrite98.0ms

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)))
34.0ms
(* (- 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)))))))
14.0ms
(* (- x 1.0) (log y))

series339.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* 1/2 (/ (pow y 2) (pow 1.0 2)))
71.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
159.0ms
(+ (* (- 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))

simplify65.0ms

Algorithm
egg-herbie
Counts
235 → 235
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
013322881
150022658

prune974.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
0.1b
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
0.2b
(* (- x 1.0) (log y))
0.4b
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
29×add-sqr-sqrt
26×*-un-lft-identity
22×flip3-- flip--
20×associate-*r*
18×associate-*l/
17×pow1
15×sqrt-prod
13×add-exp-log flip3-+ add-cbrt-cube flip-+
12×add-cube-cbrt
11×associate-*l*
10×associate-*r/
6×distribute-rgt-in log-prod distribute-lft-in difference-of-squares
5×pow-prod-down prod-exp cbrt-unprod distribute-lft-out--
4×add-log-exp
3×log-pow *-commutative distribute-lft-out
2×sub-neg sqrt-div unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 132
Calls
4 calls:
3.0ms
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
44.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
10.0ms
(* (- x 1.0) (log y))
78.0ms
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

series563.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))
161.0ms
(* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
64.0ms
(* (- x 1.0) (log y))
275.0ms
(* (* (- z 1.0) (+ (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) (- (sqrt (log 1.0)) (sqrt (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))

simplify135.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
09322873
148942520
250012519

prune749.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- x 1.0) (log (cbrt y)))
0.3b
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.7b
(cbrt y)
0.7b
(cbrt y)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
20×add-sqr-sqrt
18×cbrt-prod *-un-lft-identity
16×add-cube-cbrt
14×distribute-rgt-in distribute-lft-in
12×associate-+r+
7×pow1
6×add-exp-log associate-*l/ add-cbrt-cube add-log-exp
5×flip3-- associate-*r* associate-*l* flip--
4×associate-+l+ associate-*r/ frac-add
3×pow1/3
2×sub-neg log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 89
Calls
4 calls:
11.0ms
(* (- x 1.0) (log (cbrt y)))
13.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series799.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (- x 1.0) (log (cbrt y)))
304.0ms
(+ (* (* 2 (log (cbrt y))) (- x 1.0)) (* (- x 1.0) (log (cbrt y))))
188.0ms
(cbrt y)
178.0ms
(cbrt y)

simplify67.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0450835
12041746
25002703

prune520.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes303.0ms

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
04431
14431

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.0s24353×body80nan
543.0ms5853×body80valid
373.0ms817×body640valid
201.0ms660×body320valid
195.0ms245×body1280valid
89.0ms464×body160valid