Details

Time bar (total: 8.3s)

sample105.0ms

Algorithm
intervals
Results
31.0ms715×body80nan
12.0ms181×body80valid
12.0ms38×body640valid
4.0ms6×body1280valid
4.0ms20×body320valid
1.0ms13×body160valid

simplify131.0ms

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: 9.0b

localize12.0ms

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))
4.6b
(log (- 1.0 y))

rewrite84.0ms

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:
26.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
29.0ms
(* (- z 1.0) (log (- 1.0 y)))
21.0ms
(* (- x 1.0) (log y))
5.0ms
(log (- 1.0 y))

series244.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
40.0ms
(* (- z 1.0) (log (- 1.0 y)))
50.0ms
(* (- x 1.0) (log y))
41.0ms
(log (- 1.0 y))

simplify68.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0621970
12460896
25003883

prune382.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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))))))) t)
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))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt flip3-- flip--
25×*-un-lft-identity
24×log-prod associate-*l/
16×distribute-rgt-in add-cube-cbrt distribute-lft-in frac-add
13×associate--l+
12×frac-times
11×add-log-exp
10×pow1 associate-+r+ associate-*r* associate-*l*
8×add-exp-log add-cbrt-cube
6×associate-+l+ associate-*r/
5×sub-neg distribute-lft-out--
4×difference-of-squares
2×diff-log pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-+ flip-+
Counts
4 → 129
Calls
4 calls:
78.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
75.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
27.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
22.0ms
(* (- x 1.0) (log y))

series463.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
59.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
134.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
54.0ms
(* (- x 1.0) (log y))

simplify126.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
08882535
146742460
250012448

prune612.0ms

Pruning

8 alts after pruning (8 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)

rewrite15.0ms

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:
10.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series686.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(* (cbrt y) (cbrt y))
161.0ms
(cbrt y)
170.0ms
(cbrt y)
166.0ms
(cbrt y)

simplify103.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune468.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* 1 (pow y 1/3)) (cbrt y))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.1b
(pow y 1/3)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
13×prod-exp
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×cbrt-prod
8×add-cbrt-cube
7×pow1
6×associate-*r*
5×cbrt-unprod
4×add-log-exp
3×pow-to-exp unpow-prod-down pow-unpow 1-exp pow-exp
2×unpow1/3 pow1/3
1×pow-pow associate-*l* pow-prod-down *-commutative sqr-pow
Counts
4 → 66
Calls
4 calls:
21.0ms
(* (* 1 (pow y 1/3)) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series708.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (* 1 (pow y 1/3)) (cbrt y))
170.0ms
(cbrt y)
168.0ms
(cbrt y)
174.0ms
(pow y 1/3)

simplify96.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0228250
1803170
24001158
35001151

prune358.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes273.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04324
14524
24524

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.1s23747×body80nan
304.0ms5960×body80valid
219.0ms743×body640valid
154.0ms260×body1280valid
113.0ms654×body320valid
45.0ms414×body160valid