Details

Time bar (total: 28.0s)

sample366.0ms

Algorithm
intervals
Results
224.0ms1715×body80nan
29.0ms257×body80valid

simplify9.9s

Counts
1 → 1
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
01516
12716
26115
315515
435615
585815
6159815
7219415
8261815
9263015
done263015

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (log (+ x y)) (log z)) t)
0.2b
(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
0.7b
(+ (log (+ x y)) (log z))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
49×*-un-lft-identity
28×pow1
25×log-pow distribute-lft-out
21×prod-diff
19×add-sqr-sqrt
17×add-cube-cbrt
7×log-prod fma-neg
6×add-log-exp
5×distribute-lft-out--
4×associate-+l- log-div associate-+l+ fma-def
3×add-exp-log expm1-log1p-u associate-+r+ flip3-+ add-cbrt-cube flip-+ log1p-expm1-u
2×associate--l- diff-log sum-log
1×+-commutative sub-neg flip3-- associate--l+ flip-- fma-udef difference-of-squares
Counts
3 → 92
Calls
3 calls:
145.0ms
(- (+ (log (+ x y)) (log z)) t)
1.0ms
(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
15.0ms
(+ (log (+ x y)) (log z))

series524.0ms

Counts
3 → 9
Calls
3 calls:
260.0ms
(- (+ (log (+ x y)) (log z)) t)
148.0ms
(fma (- a 0.5) (log t) (- (+ (log (+ x y)) (log z)) t))
115.0ms
(+ (log (+ x y)) (log z))

simplify2.7s

Counts
101 → 101
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
01701568
13881337
210001146
339211059
done50001059

prune437.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
0.5b
(cbrt z)
0.5b
(cbrt z)
0.6b
(fma 2 (log (cbrt z)) (log (+ x y)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
9×cbrt-prod add-sqr-sqrt add-cube-cbrt
6×associate-+r+ log-prod
5×pow1 add-log-exp
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×fma-def
2×pow1/3 fma-udef distribute-lft-out
1×+-commutative associate-+l+ flip3-+ sum-log log-pow flip-+
Counts
4 → 61
Calls
4 calls:
9.0ms
(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
0.0ms
(fma 2 (log (cbrt z)) (log (+ x y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
283.0ms
(+ (fma 2 (log (cbrt z)) (log (+ x y))) (log (cbrt z)))
296.0ms
(cbrt z)
284.0ms
(cbrt z)
203.0ms
(fma 2 (log (cbrt z)) (log (+ x y)))

simplify3.3s

Counts
73 → 73
Iterations

Useful iterations: done (3.3s)

IterNodesCost
099750
1205706
2525648
31954517
done5000495

prune540.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize55.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (log (cbrt z)) (log (+ x y)))
0.5b
(+ (* 2 (log (cbrt z))) (+ (log (cbrt z)) (log (+ x y))))
0.5b
(cbrt z)
0.5b
(cbrt z)

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×*-un-lft-identity
18×associate-+l+
15×cbrt-prod
14×add-sqr-sqrt add-cube-cbrt
9×pow1
7×add-log-exp
6×distribute-rgt-in associate-+r- fma-def distribute-lft-in log-pow
5×associate-+r+ distribute-lft-out
4×add-exp-log expm1-log1p-u log-div flip3-+ sum-log add-cbrt-cube flip-+ log1p-expm1-u
3×pow1/3
2×+-commutative
Counts
4 → 90
Calls
4 calls:
20.0ms
(+ (log (cbrt z)) (log (+ x y)))
40.0ms
(+ (* 2 (log (cbrt z))) (+ (log (cbrt z)) (log (+ x y))))
2.0ms
(cbrt z)
2.0ms
(cbrt z)

series962.0ms

Counts
4 → 12
Calls
4 calls:
212.0ms
(+ (log (cbrt z)) (log (+ x y)))
174.0ms
(+ (* 2 (log (cbrt z))) (+ (log (cbrt z)) (log (+ x y))))
272.0ms
(cbrt z)
303.0ms
(cbrt z)

simplify3.5s

Counts
102 → 102
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01381073
1363928
2987845
33923775
done5000775

prune745.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t)
0.2b
(fma (- a 0.5) (log t) (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t))
0.5b
(+ (log (+ x y)) (log (sqrt z)))
0.5b
(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))

rewrite687.0ms

Algorithm
rewrite-expression-head
Rules
140×*-un-lft-identity
117×distribute-lft-out
91×pow1
87×log-pow
39×prod-diff
30×add-sqr-sqrt
28×add-cube-cbrt
16×log-prod
13×fma-neg
12×associate-+r+
11×fma-def distribute-lft-out--
10×associate-+l- add-log-exp
7×sum-log
6×log-div sqrt-prod
5×associate-+l+ flip3-+ flip-+
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u
3×diff-log
2×+-commutative associate--l-
1×sub-neg flip3-- associate--l+ flip-- fma-udef difference-of-squares
Counts
4 → 166
Calls
4 calls:
544.0ms
(- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t)
1.0ms
(fma (- a 0.5) (log t) (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t))
31.0ms
(+ (log (+ x y)) (log (sqrt z)))
90.0ms
(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))

series890.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t)
185.0ms
(fma (- a 0.5) (log t) (- (+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z))) t))
230.0ms
(+ (log (+ x y)) (log (sqrt z)))
244.0ms
(+ (+ (log (+ x y)) (log (sqrt z))) (log (sqrt z)))

simplify1.3s

Counts
178 → 178
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02303321
15882630
216872243
done50012051

prune707.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.1b

regimes3.0ms