Details

Time bar (total: 12.0s)

sample141.0ms

Algorithm
intervals
Results
57.0ms747×body80nan
13.0ms37×body640valid
12.0ms182×body80valid
8.0ms10×body1280valid
3.0ms15×body320valid
2.0ms14×body160valid

simplify113.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.0b

localize15.0ms

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))
5.6b
(log (- 1.0 y))

rewrite168.0ms

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:
33.0ms
(* (- z 1.0) (log (- 1.0 y)))
86.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
41.0ms
(* (- x 1.0) (log y))
5.0ms
(log (- 1.0 y))

series318.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (- z 1.0) (log (- 1.0 y)))
167.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
61.0ms
(* (- x 1.0) (log y))
44.0ms
(log (- 1.0 y))

simplify45.0ms

Counts
106 → 106

prune329.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

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)))))))
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))))))
0.1b
(* (- x 1.0) (log y))

rewrite247.0ms

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:
32.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
91.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
92.0ms
(* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))
25.0ms
(* (- x 1.0) (log y))

series548.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2)))))))
259.0ms
(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (- (log 1.0) (+ (* 1.0 y) (* 1/2 (/ (pow y 2) (pow 1.0 2))))))) t)
70.0ms
(* (- 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))

simplify121.0ms

Counts
141 → 141

prune726.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite24.0ms

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:
19.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series853.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (cbrt y) (cbrt y))
208.0ms
(cbrt y)
209.0ms
(cbrt y)
204.0ms
(cbrt y)

simplify83.0ms

Counts
85 → 85

prune496.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
0.2b
(+ (* (log (* (cbrt 1) (pow y 2/3))) (- 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))))))))
0.6b
(cbrt y)
6.0b
(pow y 2/3)

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
78×associate-*r/
68×frac-add
59×flip3-- flip--
16×frac-times
13×add-sqr-sqrt
11×*-un-lft-identity
9×add-cube-cbrt add-log-exp
8×pow1 associate-*l/
7×add-exp-log
6×add-cbrt-cube
5×associate-*r*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in associate-*l*
3×cbrt-prod unpow-prod-down pow-unpow flip3-+ sum-log flip-+
1×+-commutative pow-to-exp associate-+r+ pow-pow pow1/3 pow-prod-down pow-exp prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr sqr-pow
Counts
4 → 108
Calls
4 calls:
41.0ms
(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
60.0ms
(+ (* (log (* (cbrt 1) (pow y 2/3))) (- 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))))))))
1.0ms
(cbrt y)
3.0ms
(pow y 2/3)

series815.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(* (log (* (cbrt 1) (pow y 2/3))) (- x 1.0))
261.0ms
(+ (* (log (* (cbrt 1) (pow y 2/3))) (- 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))))))))
202.0ms
(cbrt y)
197.0ms
(pow y 2/3)

simplify73.0ms

Counts
120 → 120

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes403.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample5.2s

Algorithm
intervals
Results
2.3s24307×body80nan
760.0ms5855×body80valid
305.0ms793×body640valid
213.0ms235×body1280valid
203.0ms668×body320valid
65.0ms473×body160valid