Details

Time bar (total: 9.5s)

sample134.0ms

Algorithm
intervals
Results
56.0ms705×body80nan
17.0ms192×body80valid
12.0ms27×body640valid
8.0ms18×body320valid
7.0ms9×body1280valid
2.0ms11×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

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
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b
(* (- x 1.0) (log y))
4.4b
(log (- 1.0 y))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
27×log-prod
25×add-sqr-sqrt
23×*-un-lft-identity
13×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in add-log-exp
10×associate-+r+ associate-*l/
8×pow1
7×add-exp-log flip3-- flip--
6×associate-+l+ add-cbrt-cube
5×associate-*l* distribute-lft-out-- difference-of-squares
4×associate-*r* frac-add
2×log-div diff-log sum-log log-pow
1×+-commutative sub-neg flip3-+ rem-log-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 92
Calls
4 calls:
12.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
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))

series380.0ms

Counts
4 → 12
Calls
4 calls:
122.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
157.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
54.0ms
(* (- x 1.0) (log y))
47.0ms
(log (- 1.0 y))

simplify69.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0629947
12391888
25001883

prune340.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 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))))))) t)
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))

rewrite100.0ms

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:
33.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
39.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
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)))))))
10.0ms
(* (- x 1.0) (log y))

series524.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
243.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
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)))))))
59.0ms
(* (- x 1.0) (log y))

simplify125.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
08882535
146742460
250012448

prune629.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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)

series730.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(* (cbrt y) (cbrt y))
175.0ms
(cbrt y)
182.0ms
(cbrt y)
176.0ms
(cbrt y)

simplify94.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune427.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
12×cbrt-prod add-cube-cbrt *-un-lft-identity
10×add-exp-log
8×unpow-prod-down
7×associate-*l*
6×associate-*r* unswap-sqr
5×pow1 pow1/3 add-cbrt-cube
4×add-log-exp sqr-pow
3×pow-unpow prod-exp
2×pow-to-exp unpow1/3 pow-exp cbrt-unprod
1×pow-pow pow-prod-down pow-sqr *-commutative pow-prod-up
Counts
4 → 75
Calls
4 calls:
7.0ms
(* (pow y 1/3) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(pow y 1/3)

series727.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* (pow y 1/3) (cbrt y))
183.0ms
(cbrt y)
178.0ms
(cbrt y)
170.0ms
(pow y 1/3)

simplify112.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0185299
1684224
23894205
35001197

prune428.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes229.0ms

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
03823
13823

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.9s23922×body80nan
523.0ms5863×body80valid
354.0ms811×body640valid
201.0ms701×body320valid
190.0ms243×body1280valid
77.0ms416×body160valid