Details

sample65.0ms

Algorithm

intervals

Results

28.0ms	83×	body	1280	valid
11.0ms	53×	body	640	valid
7.0ms	22×	body	2560	valid
4.0ms	73×	body	80	valid
2.0ms	15×	body	320	valid
1.0ms	10×	body	160	valid

simplify638.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

638.0ms

(- (fma x y z) (+ 1 (+ (* x y) z)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.5b

localize18.0ms

Local error

Found 1 expressions with local error:

10.6b

(- (fma x y z) (+ 1 (+ (* x y) z)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`*-un-lft-identity`
3×	`add-sqr-sqrt` `sum-log` `diff-log`
2×	`distribute-lft-out--`
1×	`pow1` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

1 → 19

Calls

1 calls:

Slowest

39.0ms

(- (fma x y z) (+ 1 (+ (* x y) z)))

series48.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

48.0ms

(- (fma x y z) (+ 1 (+ (* x y) z)))

simplify2.3s

Counts

11 → 22

Calls

11 calls:

Slowest

456.0ms	(/ (exp (fma x y z)) (* (exp 1) (* (exp (* x y)) (exp z))))
315.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
290.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
268.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
262.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))

prune249.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.4b

localize32.0ms

Local error

Found 3 expressions with local error:

10.9b	(- (fma x y z) (* x y))
0.2b	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
0.0b	(/ (exp (- (- (fma x y z) (* x y)) z)) E)

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`exp-sum`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
25×	`log-prod`
15×	`sub-neg`
14×	`associate--l+`
7×	`associate-/l*`
6×	`add-exp-log`
5×	`add-cbrt-cube` `add-log-exp`
4×	`pow1` `div-exp`
3×	`associate-/r*` `rem-log-exp` `insert-posit16`
2×	`e-exp-1` `div-inv`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `exp-diff` `diff-log` `log-pow` `flip--` `associate-/l/`

Counts

3 → 97

Calls

3 calls:

Slowest

96.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
67.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
5.0ms	(- (fma x y z) (* x y))

series162.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

83.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
49.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
30.0ms	(- (fma x y z) (* x y))

simplify19.8s

Counts

93 → 106

Calls

93 calls:

Slowest

561.0ms	(log (/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) (sqrt E)))
525.0ms	(/ (exp (- (- (* x y)) z)) E)
512.0ms	(/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) E)
509.0ms	(/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) 1)
500.0ms	(/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) 1)

prune1.2s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize23.0ms

Local error

Found 1 expressions with local error:

8.9b	(- (fma x y z) (+ (* x y) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`diff-log`
1×	`pow1` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 17

Calls

1 calls:

Slowest

17.0ms

(- (fma x y z) (+ (* x y) z))

series47.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

47.0ms

(- (fma x y z) (+ (* x y) z))

simplify1.3s

Counts

8 → 20

Calls

8 calls:

Slowest

664.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
295.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
78.0ms	(- (fma x y z) (+ z (* x y)))
73.0ms	(- (fma x y z) (+ z (* x y)))
68.0ms	(- (fma x y z) (+ (* x y) z))

prune215.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize44.0ms

Local error

Found 1 expressions with local error:

8.9b	(- (fma x y z) (+ (* x y) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
3×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`diff-log`
1×	`pow1` `sum-log` `sub-neg` `flip3--` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `flip--` `associate--r+` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 17

Calls

1 calls:

Slowest

16.0ms

(- (fma x y z) (+ (* x y) z))

series56.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

56.0ms

(- (fma x y z) (+ (* x y) z))

simplify848.0ms

Counts

8 → 20

Calls

8 calls:

Slowest

289.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
258.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
80.0ms	(- (fma x y z) (+ z (* x y)))
71.0ms	(- (fma x y z) (+ (* x y) z))
61.0ms	(- (fma x y z) (+ z (* x y)))

prune496.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 9.0b

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.2s	2639×	body	1280	valid
751.0ms	1569×	body	640	valid
645.0ms	2138×	body	80	valid
319.0ms	605×	body	2560	valid
160.0ms	711×	body	320	valid
52.0ms	338×	body	160	valid