Details

Time bar (total: 34.2s)

sample289.0ms

Algorithm
intervals
Results
104.0ms857×body80nan
40.0ms290×body80valid

simplify15.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02021
13821
29921
338821
4123121
5312721
6465621
done500021

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.0b
(+ (* x (log y)) z)
0.1b
(* (- b 0.5) (log c))
0.3b
(* x (log y))

rewrite961.0ms

Algorithm
rewrite-expression-head
Rules
24×log-prod
22×add-sqr-sqrt
20×add-log-exp
18×*-un-lft-identity
16×add-cube-cbrt
12×distribute-rgt-in distribute-lft-in
11×sum-log
10×pow1
8×add-exp-log associate-*r* associate-*l* add-cbrt-cube
7×associate-+l+
6×associate-+r+ associate-*l/
4×flip3-+ frac-add flip-+
3×flip3-- flip--
2×+-commutative pow-prod-down prod-exp log-pow *-commutative cbrt-unprod unswap-sqr
1×distribute-lft-out-- difference-of-squares
Counts
4 → 96
Calls
4 calls:
900.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms
(+ (* x (log y)) z)
40.0ms
(* (- b 0.5) (log c))
9.0ms
(* x (log y))

series641.0ms

Counts
4 → 12
Calls
4 calls:
417.0ms
(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
96.0ms
(+ (* x (log y)) z)
80.0ms
(* (- b 0.5) (log c))
48.0ms
(* x (log y))

simplify1.4s

Counts
108 → 108
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02411624
16111546
221211434
done50001414

prune742.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt y))) x)
0.3b
(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative distribute-rgt-out flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 52
Calls
4 calls:
34.0ms
(* (* 2 (log (cbrt y))) x)
26.0ms
(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
9.0ms
(cbrt y)
1.0ms
(cbrt y)

series1.0s

Counts
4 → 12
Calls
4 calls:
183.0ms
(* (* 2 (log (cbrt y))) x)
232.0ms
(+ (* (* 2 (log (cbrt y))) x) (* (log (cbrt y)) x))
274.0ms
(cbrt y)
319.0ms
(cbrt y)

simplify6.1s

Counts
64 → 64
Iterations

Useful iterations: 3 (2.7s)

IterNodesCost
093644
1247518
2969425
34950353
done5000353

prune576.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z)
0.1b
(* (- b 0.5) (log c))
0.4b
(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
0.5b
(cbrt (- y))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×pow1
14×*-un-lft-identity
12×add-cube-cbrt
11×add-exp-log add-cbrt-cube
10×cbrt-prod log-prod associate-*r*
6×associate-*l* pow-prod-down add-log-exp
5×distribute-rgt-in distribute-lft-in
4×prod-exp log-pow cbrt-unprod
3×distribute-lft-neg-in distribute-rgt-neg-in pow1/3
2×associate-+l+ associate-*l/ *-commutative
1×+-commutative neg-mul-1 flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 83
Calls
4 calls:
41.0ms
(+ (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z)
31.0ms
(* (- b 0.5) (log c))
40.0ms
(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
2.0ms
(cbrt (- y))

series935.0ms

Counts
4 → 12
Calls
4 calls:
337.0ms
(+ (* (* 3 x) (log (* (cbrt -1) (cbrt (- y))))) z)
81.0ms
(* (- b 0.5) (log c))
226.0ms
(* (* 3 x) (log (* (cbrt -1) (cbrt (- y)))))
290.0ms
(cbrt (- y))

simplify1.7s

Counts
95 → 95
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01961151
14141085
21328957
done5001930

prune604.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
0.3b
(* x (log y))
0.6b
(cbrt c)
0.6b
(cbrt c)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
8×associate-*r/
7×pow1 distribute-rgt-in distribute-lft-in
6×add-exp-log cbrt-prod log-prod add-cbrt-cube add-log-exp
4×sub-neg associate-+l+ associate-+r+ flip3-- associate-*r* frac-add flip--
3×associate-*l*
2×pow1/3
1×+-commutative distribute-rgt-out flip3-+ pow-prod-down prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 71
Calls
4 calls:
36.0ms
(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
9.0ms
(* x (log y))
1.0ms
(cbrt c)
2.0ms
(cbrt c)

series1.2s

Counts
4 → 12
Calls
4 calls:
477.0ms
(+ (* (* 2 (log (cbrt c))) (- b 0.5)) (* (log (cbrt c)) (- b 0.5)))
62.0ms
(* x (log y))
312.0ms
(cbrt c)
313.0ms
(cbrt c)

simplify1.1s

Counts
83 → 83
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01641074
1433918
21539786
done5000747

prune1.1s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes10.0ms