Details

Time bar (total: 17.3s)

sample159.0ms

Algorithm
intervals
Results
67.0ms818×body80nan
12.0ms189×body80valid
8.0ms11×body1280valid
8.0ms24×body640valid
4.0ms19×body320valid
2.0ms13×body160valid

simplify478.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
23013
33813
44413
55913
69013
718713
861113
done500013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* z (log (- 1.0 y)))
0.0b
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b
(* x (log y))
4.2b
(log (- 1.0 y))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
21×log-prod *-un-lft-identity
13×add-cube-cbrt
11×pow1
9×add-exp-log add-log-exp
8×distribute-rgt-in distribute-lft-in associate-*r* add-cbrt-cube
6×associate-*l*
4×distribute-lft-out-- difference-of-squares
3×log-pow
2×log-div flip3-- diff-log pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×sub-neg rem-log-exp associate--l+ sum-log
Counts
4 → 86
Calls
4 calls:
29.0ms
(* z (log (- 1.0 y)))
41.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
15.0ms
(* x (log y))
5.0ms
(log (- 1.0 y))

series345.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* z (log (- 1.0 y)))
114.0ms
(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
57.0ms
(* x (log y))
77.0ms
(log (- 1.0 y))

simplify920.0ms

Counts
98 → 98
Iterations

Useful iterations: done (916.0ms)

IterNodesCost
02091141
14701103
21490987
done5000966

prune424.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.0b
(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
0.3b
(* x (log y))
5.8b
(* z (pow y 2))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
51×add-exp-log
29×add-sqr-sqrt
26×prod-exp
24×associate-*r*
19×add-cube-cbrt *-un-lft-identity
18×log-prod
17×add-cbrt-cube
16×associate--l+
12×associate-+r+ div-exp
11×distribute-rgt-in distribute-lft-in
9×pow1 associate-*l* add-log-exp
8×pow-to-exp times-frac pow-exp
7×unpow-prod-down
6×associate-+l+ cbrt-unprod unswap-sqr
3×sub-neg *-commutative unpow2 sqr-pow
2×cbrt-undiv pow-prod-down sum-log
1×+-commutative associate-+r- flip3-+ diff-log associate-*r/ log-pow flip-+ div-inv
Counts
4 → 125
Calls
4 calls:
34.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
39.0ms
(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
11.0ms
(* x (log y))
18.0ms
(* z (pow y 2))

series393.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
187.0ms
(+ (* x (log y)) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
56.0ms
(* x (log y))
36.0ms
(* z (pow y 2))

simplify1.3s

Counts
137 → 137
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02381902
15961762
222661595
done50011588

prune823.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x (log (sqrt y))) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
0.3b
(* (log (sqrt y)) x)
0.3b
(* x (log (sqrt y)))
5.8b
(* z (pow y 2))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
30×log-prod
21×add-cube-cbrt *-un-lft-identity
17×distribute-rgt-in distribute-lft-in associate-*r*
16×associate--l+
13×add-exp-log
12×pow1 associate-+l+ associate-+r+ associate-*l* sqrt-prod
10×add-cbrt-cube
9×add-log-exp
6×log-pow unswap-sqr
5×prod-exp
4×unpow-prod-down
3×sub-neg *-commutative cbrt-unprod
2×sqrt-pow1 pow1/2 pow-prod-down sum-log unpow2 sqr-pow
1×+-commutative pow-to-exp associate-+r- flip3-+ diff-log pow-exp flip-+
Counts
4 → 118
Calls
4 calls:
33.0ms
(+ (* x (log (sqrt y))) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
13.0ms
(* (log (sqrt y)) x)
27.0ms
(* x (log (sqrt y)))
12.0ms
(* z (pow y 2))

series572.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(+ (* x (log (sqrt y))) (- (* z (- (log 1.0) (* y 1.0))) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))
188.0ms
(* (log (sqrt y)) x)
133.0ms
(* x (log (sqrt y)))
47.0ms
(* z (pow y 2))

simplify1.3s

Counts
130 → 130
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02171852
15201757
219151609
done50011593

prune988.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (log (fabs (cbrt y))) x) (* (log (sqrt (cbrt y))) x))
0.7b
(cbrt y)
0.7b
(cbrt y)
5.8b
(* z (pow y 2))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
9×add-exp-log add-cube-cbrt *-un-lft-identity
8×associate-*r*
6×cbrt-prod add-cbrt-cube add-log-exp
4×pow1 unpow-prod-down unswap-sqr
3×associate-*l* prod-exp
2×pow1/3 unpow2 sqr-pow
1×+-commutative pow-to-exp distribute-rgt-out flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
4 → 61
Calls
4 calls:
9.0ms
(+ (* (log (fabs (cbrt y))) x) (* (log (sqrt (cbrt y))) x))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
25.0ms
(* z (pow y 2))

series830.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(+ (* (log (fabs (cbrt y))) x) (* (log (sqrt (cbrt y))) x))
297.0ms
(cbrt y)
244.0ms
(cbrt y)
36.0ms
(* z (pow y 2))

simplify731.0ms

Counts
73 → 73
Iterations

Useful iterations: done (728.0ms)

IterNodesCost
0119673
1304599
21128529
done5000518

prune686.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03142
14142
done4142

end0.0ms

sample6.4s

Algorithm
intervals
Results
2.5s25077×body80nan
858.0ms5562×body80valid
508.0ms851×body640valid
383.0ms406×body1280valid
298.0ms766×body320valid
71.0ms439×body160valid