Details

Time bar (total: 10.7s)

sample59.0ms

Algorithm
intervals
Results
21.0ms82×body1280valid
10.0ms43×body640valid
7.0ms22×body2560valid
4.0ms69×body80valid
4.0ms28×body320valid
1.0ms12×body160valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0912
11812
24312
38712
418112
529712
638912
745912
852112
done52112

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.5b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.1b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×*-un-lft-identity
4×add-sqr-sqrt sum-log
3×diff-log
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out--
1×+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
2 → 29
Calls
2 calls:
16.0ms
(+ (* x y) z)
74.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series118.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ (* x y) z)
75.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.8s

Counts
35 → 35
Iterations

Useful iterations: 3 (655.0ms)

IterNodesCost
065500
1176483
2564449
32547447
done5000447

prune167.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 44.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) z)
10.1b
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
13×add-log-exp
7×*-un-lft-identity
4×add-sqr-sqrt sum-log
3×diff-log
2×pow1 add-exp-log add-cube-cbrt add-cbrt-cube distribute-lft-out--
1×+-commutative sub-neg flip3-- flip3-+ flip-- flip-+ distribute-lft-out associate--r+ difference-of-squares
Counts
2 → 29
Calls
2 calls:
9.0ms
(+ (* x y) z)
102.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

series107.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* x y) z)
63.0ms
(- (fma x y z) (+ 1.0 (+ (* x y) z)))

simplify1.7s

Counts
35 → 35
Iterations

Useful iterations: 3 (640.0ms)

IterNodesCost
065500
1176483
2564449
32547447
done5000447

prune173.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 44.0b

localize17.0ms

Local error

Found 4 expressions with local error:

8.0b
(cbrt (+ (* x y) z))
8.0b
(cbrt (+ (* x y) z))
8.0b
(cbrt (+ (* x y) z))
32.2b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 55
Calls
4 calls:
6.0ms
(cbrt (+ (* x y) z))
6.0ms
(cbrt (+ (* x y) z))
7.0ms
(cbrt (+ (* x y) z))
33.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

series555.0ms

Counts
4 → 12
Calls
4 calls:
159.0ms
(cbrt (+ (* x y) z))
191.0ms
(cbrt (+ (* x y) z))
160.0ms
(cbrt (+ (* x y) z))
45.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (cbrt (+ (* x y) z)))))

simplify1.5s

Counts
67 → 67
Iterations

Useful iterations: done (1.4s)

IterNodesCost
0951308
12401261
2621916
31739835
done5000823

prune458.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 43.8b

localize61.0ms

Local error

Found 4 expressions with local error:

8.0b
(cbrt (+ (* x y) z))
8.0b
(cbrt (+ (* x y) z))
8.0b
(cbrt (+ (* x y) z))
34.4b
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt *-un-lft-identity add-log-exp
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+
2×diff-log
1×sub-neg flip3-- sum-log flip-- associate--r+ distribute-lft-out-- difference-of-squares
Counts
4 → 55
Calls
4 calls:
11.0ms
(cbrt (+ (* x y) z))
12.0ms
(cbrt (+ (* x y) z))
11.0ms
(cbrt (+ (* x y) z))
30.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

series552.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (+ (* x y) z))
176.0ms
(cbrt (+ (* x y) z))
174.0ms
(cbrt (+ (* x y) z))
60.0ms
(- (fma x y z) (+ 1.0 (* (* (cbrt (+ (* x y) z)) (cbrt (+ (* x y) z))) (* (* (cbrt (cbrt (+ (* x y) z))) (cbrt (cbrt (+ (* x y) z)))) (cbrt (cbrt (+ (* x y) z)))))))

simplify1.6s

Counts
67 → 67
Iterations

Useful iterations: done (1.6s)

IterNodesCost
0971716
12481652
26731231
32069835
done5001817

prune424.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 43.8b

regimes21.0ms