Details

Time bar (total: 45.3s)

sample340.0ms

Algorithm
intervals
Results
231.0ms1638×body80nan
33.0ms257×body80valid

simplify394.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
394.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.2b
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b
(* (- a 0.5) (log t))
0.0b
(- (+ (log (+ x y)) (log z)) t)

rewrite279.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
19×log-prod
18×add-sqr-sqrt
15×pow1
14×add-log-exp
12×add-cube-cbrt
9×associate-+r+ log-pow distribute-lft-out
7×associate-+l+
6×distribute-rgt-in sum-log distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log flip-- distribute-lft-out--
5×associate-*l* associate-+l-
4×log-div flip3-+ diff-log associate-*r* frac-add flip-+ insert-posit16
2×associate--l- +-commutative sub-neg associate--l+ difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 106
Calls
4 calls:
Slowest
187.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
40.0ms
(- (+ (log (+ x y)) (log z)) t)
33.0ms
(* (- a 0.5) (log t))
17.0ms
(+ (log (+ x y)) (log z))

series757.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
313.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
237.0ms
(- (+ (log (+ x y)) (log z)) t)
119.0ms
(+ (log (+ x y)) (log z))
88.0ms
(* (- a 0.5) (log t))

simplify7.3s

Counts
79 → 118
Calls
79 calls:
Slowest
554.0ms
(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
427.0ms
(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ a 0.5)) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (* a a) (* 0.5 0.5)) (log t))))
413.0ms
(+ (* (- (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (* t t)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (+ (log (+ x y)) (log z)) t) (* (- (pow a 3) (pow 0.5 3)) (log t))))
406.0ms
(* (- (pow a 3) (pow 0.5 3)) (log t))
384.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))

prune1.8s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (log (+ x y)) (log z))
0.2b
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.1b
(* (- a 0.5) (log t))
0.0b
(- (+ (log (+ x y)) (log z)) t)

rewrite298.0ms

Algorithm
rewrite-expression-head
Rules
30×*-un-lft-identity
19×log-prod
18×add-sqr-sqrt
15×pow1
14×add-log-exp
12×add-cube-cbrt
9×associate-+r+ log-pow distribute-lft-out
7×associate-+l+
6×distribute-rgt-in sum-log distribute-lft-in flip3-- add-cbrt-cube associate-*l/ add-exp-log flip-- distribute-lft-out--
5×associate-*l* associate-+l-
4×log-div flip3-+ diff-log associate-*r* frac-add flip-+ insert-posit16
2×associate--l- +-commutative sub-neg associate--l+ difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 106
Calls
4 calls:
Slowest
218.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
54.0ms
(- (+ (log (+ x y)) (log z)) t)
16.0ms
(* (- a 0.5) (log t))
8.0ms
(+ (log (+ x y)) (log z))

series757.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
312.0ms
(- (+ (log (+ x y)) (log z)) t)
286.0ms
(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
81.0ms
(+ (log (+ x y)) (log z))
78.0ms
(* (- a 0.5) (log t))

simplify7.9s

Counts
79 → 118
Calls
79 calls:
Slowest
600.0ms
(* (+ (+ (log (+ x y)) (log z)) t) (+ a 0.5))
553.0ms
(+ (* (- (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (* t t)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (+ (log (+ x y)) (log z)) t) (* (- (pow a 3) (pow 0.5 3)) (log t))))
532.0ms
(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ (* a a) (+ (* 0.5 0.5) (* a 0.5)))) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (pow a 3) (pow 0.5 3)) (log t))))
446.0ms
(- (+ (* 0.5 (log (/ -1 t))) (* a (log -1))) (+ (* a (log (/ -1 t))) (* 0.5 (log -1))))
437.0ms
(+ (* (- (pow (+ (log (+ x y)) (log z)) 3) (pow t 3)) (+ a 0.5)) (* (+ (* (+ (log (+ x y)) (log z)) (+ (log (+ x y)) (log z))) (+ (* t t) (* (+ (log (+ x y)) (log z)) t))) (* (- (* a a) (* 0.5 0.5)) (log t))))

prune1.9s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(+ (log (+ x y)) (log z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
8×pow1
7×log-prod
5×distribute-lft-out
4×associate-+l+ add-cbrt-cube add-exp-log log-pow insert-posit16 add-log-exp
3×associate-+r+ pow1/3
2×log-div flip3-+ associate-+l- flip-+
1×+-commutative sum-log
Counts
4 → 61
Calls
4 calls:
Slowest
17.0ms
(+ (log (+ x y)) (log z))
8.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series939.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
279.0ms
(cbrt t)
268.0ms
(cbrt t)
268.0ms
(cbrt t)
124.0ms
(+ (log (+ x y)) (log z))

simplify1.1s

Counts
35 → 73
Calls
35 calls:
Slowest
291.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
142.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
140.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
128.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
79.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize107.0ms

Local error

Found 4 expressions with local error:

5.0b
(pow t 1/3)
0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(+ (log (+ x y)) (log z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
10×add-sqr-sqrt add-cube-cbrt
9×pow1
7×log-prod
6×cbrt-prod
5×add-exp-log distribute-lft-out
4×associate-+l+ add-cbrt-cube log-pow insert-posit16 add-log-exp
3×pow-unpow associate-+r+ unpow-prod-down
2×log-div flip3-+ pow1/3 associate-+l- flip-+
1×pow-to-exp +-commutative sum-log pow-pow unpow1/3 pow-exp sqr-pow
Counts
4 → 68
Calls
4 calls:
Slowest
15.0ms
(+ (log (+ x y)) (log z))
4.0ms
(pow t 1/3)
1.0ms
(cbrt t)
1.0ms
(cbrt t)

series916.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
283.0ms
(cbrt t)
268.0ms
(cbrt t)
258.0ms
(pow t 1/3)
108.0ms
(+ (log (+ x y)) (log z))

simplify1.6s

Counts
38 → 80
Calls
38 calls:
Slowest
619.0ms
(exp (* 1/3 (- (log -1) (log (/ -1 t)))))
289.0ms
(- (* 2 (log -1)) (+ (log (/ -1 x)) (log (/ -1 z))))
150.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
118.0ms
(* (pow (* t -1) 1/3) (cbrt -1))
82.0ms
(- (+ (log (/ 1 z)) (log (/ 1 x))))

prune1.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch7.0ms

end0.0ms

sample14.0s

Algorithm
intervals
Results
9.3s56347×body80nan
1.4s8030×body80valid