Details

Time bar (total: 32.1s)

sample50.0ms

Algorithm
intervals
Results
13.0ms260×body80valid
11.0ms272×body80nan

simplify17.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01012
12112
26112
318512
443112
587512
6152812
7185312
8208212
9209812
10229212
11232712
12238612
13242212
14249012
15249412
done249412

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
0.0b
(- x (* (+ y 0.5) (log y)))
0.1b
(+ (- x (* (+ y 0.5) (log y))) y)
0.1b
(* (+ y 0.5) (log y))

rewrite263.0ms

Algorithm
rewrite-expression-head
Rules
20×add-log-exp
19×*-un-lft-identity
14×add-sqr-sqrt
12×log-prod
10×add-cube-cbrt
7×pow1
6×add-exp-log distribute-rgt-in distribute-lft-in diff-log add-cbrt-cube associate--r+
4×associate-*r* associate-*l* sum-log
3×sub-neg distribute-lft-out
2×associate-+l- associate-+l+ flip3-- flip3-+ associate-*l/ flip-- flip-+ distribute-lft-out--
1×+-commutative associate--l- pow-prod-down prod-exp associate--l+ log-pow *-commutative cbrt-unprod difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
165.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
7.0ms
(- x (* (+ y 0.5) (log y)))
31.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
57.0ms
(* (+ y 0.5) (log y))

series637.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- (+ (- x (* (+ y 0.5) (log y))) y) z)
46.0ms
(- x (* (+ y 0.5) (log y)))
68.0ms
(+ (- x (* (+ y 0.5) (log y))) y)
429.0ms
(* (+ y 0.5) (log y))

simplify924.0ms

Counts
93 → 93
Iterations

Useful iterations: done (919.0ms)

IterNodesCost
01721294
14451175
214181094
done50011058

prune355.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (+ y 0.5) (log (cbrt y)))
0.4b
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
18×cbrt-prod add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
13×distribute-rgt-in distribute-lft-in
12×associate-+r+
7×pow1
6×add-exp-log flip3-+ associate-*l/ add-cbrt-cube flip-+ add-log-exp
5×associate-*r*
4×associate-*r/ associate-*l* frac-add
3×pow1/3
2×associate-+l+ log-pow
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
4 → 86
Calls
4 calls:
50.0ms
(* (+ y 0.5) (log (cbrt y)))
49.0ms
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series2.6s

Counts
4 → 12
Calls
4 calls:
629.0ms
(* (+ y 0.5) (log (cbrt y)))
1.3s
(+ (* (* 2 (log (cbrt y))) (+ y 0.5)) (* (+ y 0.5) (log (cbrt y))))
361.0ms
(cbrt y)
306.0ms
(cbrt y)

simplify1.3s

Counts
98 → 98
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01671466
14751331
219451102
done50011096

prune479.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
0.1b
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
0.3b
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
0.4b
(* (sqrt (+ y 0.5)) (log y))

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
30×log-prod
27×distribute-rgt-in distribute-lft-in
25×*-un-lft-identity
23×add-sqr-sqrt
19×add-cube-cbrt
14×sqrt-div associate-*l*
12×pow1 associate--r+
11×add-exp-log add-cbrt-cube add-log-exp
10×associate-*l/
9×sqrt-prod
8×flip3-+ flip-+
5×associate-*r*
4×frac-times pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out
2×sub-neg associate-+l+ diff-log associate-*r/ sum-log *-commutative unswap-sqr
1×+-commutative associate-+l- flip3-- log-pow flip--
Counts
4 → 114
Calls
4 calls:
9.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
30.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
69.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
40.0ms
(* (sqrt (+ y 0.5)) (log y))

series670.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y))))
59.0ms
(+ (- x (* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))) y)
432.0ms
(* (sqrt (+ y 0.5)) (* (sqrt (+ y 0.5)) (log y)))
121.0ms
(* (sqrt (+ y 0.5)) (log y))

simplify1.2s

Counts
126 → 126
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02472380
15991630
217701455
done50001417

prune819.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (log (cbrt y)) (sqrt (+ y 0.5)))
0.4b
(* (* 2 (log (cbrt y))) (sqrt (+ y 0.5)))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
14×associate-*r*
12×pow1
11×add-exp-log add-cube-cbrt add-cbrt-cube
9×sqrt-prod
6×cbrt-prod associate-*l*
4×sqrt-div associate-*r/ pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×flip3-+ log-pow *-commutative flip-+ distribute-lft-out unswap-sqr
Counts
4 → 73
Calls
4 calls:
45.0ms
(* (log (cbrt y)) (sqrt (+ y 0.5)))
47.0ms
(* (* 2 (log (cbrt y))) (sqrt (+ y 0.5)))
2.0ms
(cbrt y)
2.0ms
(cbrt y)

series895.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (log (cbrt y)) (sqrt (+ y 0.5)))
161.0ms
(* (* 2 (log (cbrt y))) (sqrt (+ y 0.5)))
341.0ms
(cbrt y)
289.0ms
(cbrt y)

simplify1.5s

Counts
85 → 85
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0145994
1347890
21245785
done5000747

prune457.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01012
11312
done1312

end0.0ms

sample2.0s

Algorithm
intervals
Results
737.0ms8038×body80valid
502.0ms7987×body80nan
1.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid