Details

sample118.0ms

Algorithm

intervals

Results

57.0ms	78×	body	1280	valid
19.0ms	51×	body	640	valid
13.0ms	22×	body	2560	valid
7.0ms	75×	body	80	valid
5.0ms	18×	body	320	valid
2.0ms	12×	body	160	valid

simplify345.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

345.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.0b

localize15.0ms

Local error

Found 2 expressions with local error:

9.9b	(- (fma x y z) (+ 1 (+ (* x y) z)))
0.0b	(+ (* x y) z)

rewrite61.0ms

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-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3-+` `flip3--` `flip-+` `flip--` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

Slowest

54.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
7.0ms	(+ (* x y) z)

series80.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

48.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
32.0ms	(+ (* x y) z)

simplify2.5s

Counts

15 → 37

Calls

15 calls:

Slowest

460.0ms	(/ (exp (fma x y z)) (* (exp 1) (* (exp (* x y)) (exp z))))
298.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
297.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))
288.0ms	(- (fma x y z) (+ z (+ 1 (* x y))))
286.0ms	(- (fma x y z) (+ 1 (+ (* x y) z)))

prune382.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 13.4b

localize36.0ms

Local error

Found 3 expressions with local error:

9.9b	(- (fma x y z) (* x y))
0.7b	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
0.0b	(/ (exp (- (- (fma x y z) (* x y)) z)) E)

rewrite164.0ms

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

100.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
57.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
5.0ms	(- (fma x y z) (* x y))

series170.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

73.0ms	(log (/ (exp (- (- (fma x y z) (* x y)) z)) E))
60.0ms	(/ (exp (- (- (fma x y z) (* x y)) z)) E)
37.0ms	(- (fma x y z) (* x y))

simplify22.1s

Counts

93 → 106

Calls

93 calls:

Slowest

595.0ms	(log (/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) 1))
565.0ms	(/ (* (cbrt (exp (- (- (fma x y z) (* x y)) z))) (cbrt (exp (- (- (fma x y z) (* x y)) z)))) 1)
542.0ms	(/ (exp (- (- (* x y)) z)) (sqrt E))
533.0ms	(/ (exp (- (- (* x y)) z)) E)
530.0ms	(log (/ (sqrt (exp (- (- (fma x y z) (* x y)) z))) (sqrt E)))

prune1.6s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.9b

localize20.0ms

Local error

Found 2 expressions with local error:

7.9b	(- (fma x y z) (+ (* x y) z))
0.0b	(+ (* x y) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

Slowest

17.0ms	(+ (* x y) z)
13.0ms	(- (fma x y z) (+ (* x y) z))

series77.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

40.0ms	(+ (* x y) z)
37.0ms	(- (fma x y z) (+ (* x y) z))

simplify975.0ms

Counts

12 → 35

Calls

12 calls:

Slowest

286.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
269.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
94.0ms	(- (fma x y z) (+ (* x y) z))
86.0ms	(- (fma x y z) (+ z (* x y)))
73.0ms	(- (fma x y z) (+ z (* x y)))

prune413.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 7.9b

localize53.0ms

Local error

Found 2 expressions with local error:

7.9b	(- (fma x y z) (+ (* x y) z))
0.0b	(+ (* x y) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 29

Calls

2 calls:

Slowest

12.0ms	(- (fma x y z) (+ (* x y) z))
11.0ms	(+ (* x y) z)

series90.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

54.0ms	(- (fma x y z) (+ (* x y) z))
36.0ms	(+ (* x y) z)

simplify1.1s

Counts

12 → 35

Calls

12 calls:

Slowest

302.0ms	(/ (exp (fma x y z)) (* (exp (* x y)) (exp z)))
299.0ms	(/ (exp (fma x y z)) (exp (+ (* x y) z)))
97.0ms	(- (fma x y z) (+ (* x y) z))
92.0ms	(* (exp (* x y)) (exp z))
85.0ms	(- (fma x y z) (+ z (* x y)))

prune896.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 7.9b

regimes174.0ms

Accuracy

0% (0.1b remaining)

Error of 8.0b against oracle of 7.9b and baseline of 8.0b

bsearch4.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.3s	2596×	body	1280	valid
615.0ms	745×	body	320	valid
601.0ms	1559×	body	640	valid
413.0ms	608×	body	2560	valid
301.0ms	2134×	body	80	valid
55.0ms	358×	body	160	valid