Details

sample220.0ms

Algorithm

intervals

Results

88.0ms	97×	body	2560	valid
62.0ms	89×	body	1280	valid
31.0ms	241×	body	80	nan
16.0ms	31×	body	640	valid
6.0ms	15×	body	320	valid
3.0ms	16×	body	160	valid
1.0ms	8×	body	80	valid

simplify496.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0b	(- (* v v) 1)
0.0b	(fma -5 (* v v) 1)
0.0b	(/ (fma -5 (* v v) 1) (- (* v v) 1))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity`
18×	`times-frac`
16×	`add-cube-cbrt`
10×	`difference-of-squares`
9×	`add-exp-log`
6×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
5×	`difference-of-sqr-1`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff` `associate-/l*`
2×	`expm1-def` `flip3--` `associate-/r/` `flip--`
1×	`acos-asin` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `div-exp` `prod-exp` `fma-udef` `div-inv`

Counts

4 → 90

Calls

4 calls:

Slowest

14.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
7.0ms	(- (* v v) 1)
1.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0ms	(fma -5 (* v v) 1)

series224.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

81.0ms	(/ (fma -5 (* v v) 1) (- (* v v) 1))
80.0ms	(fma -5 (* v v) 1)
60.0ms	(- (* v v) 1)
3.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify364.0ms

Counts: 128 → 102

prune865.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize45.0ms

Local error

Found 4 expressions with local error:

1.0b	(expm1 (fma -5 (* v v) 1))
0.7b	(acos (/ (log1p (expm1 (fma -5 (* v v) 1))) (- (* v v) 1)))
0.0b	(log1p (expm1 (fma -5 (* v v) 1)))
0.0b	(- (* v v) 1)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt` `log1p-expm1-u`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `insert-posit16`
3×	`prod-diff`
2×	`expm1-def` `difference-of-squares`
1×	`acos-asin` `log1p-udef` `expm1-log1p` `sub-neg` `flip3--` `fma-neg` `diff-log` `difference-of-sqr-1` `prod-exp` `log1p-expm1` `flip--` `expm1-udef`

Counts

4 → 59

Calls

4 calls:

Slowest

16.0ms	(- (* v v) 1)
2.0ms	(acos (/ (log1p (expm1 (fma -5 (* v v) 1))) (- (* v v) 1)))
1.0ms	(expm1 (fma -5 (* v v) 1))
0.0ms	(log1p (expm1 (fma -5 (* v v) 1)))

series679.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

574.0ms	(log1p (expm1 (fma -5 (* v v) 1)))
56.0ms	(- (* v v) 1)
46.0ms	(expm1 (fma -5 (* v v) 1))
3.0ms	(acos (/ (log1p (expm1 (fma -5 (* v v) 1))) (- (* v v) 1)))

simplify464.0ms

Counts: 76 → 71

prune729.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.7b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0b	(expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
0.0b	(- (* v v) 1)
0.0b	(fma -5 (* v v) 1)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
5×	`add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u`
3×	`prod-diff`
2×	`expm1-def` `difference-of-squares`
1×	`acos-asin` `expm1-log1p` `sub-neg` `flip3--` `fma-neg` `diff-log` `difference-of-sqr-1` `prod-exp` `fma-udef` `flip--` `expm1-udef`

Counts

4 → 58

Calls

4 calls:

Slowest

14.0ms	(- (* v v) 1)
1.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0ms	(fma -5 (* v v) 1)
0.0ms	(expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))

series309.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

185.0ms	(expm1 (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
62.0ms	(fma -5 (* v v) 1)
57.0ms	(- (* v v) 1)
5.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify346.0ms

Counts: 76 → 70

prune801.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.7b

localize49.0ms

Local error

Found 4 expressions with local error:

0.7b	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))
0.0b	(- (exp (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) 1)
0.0b	(exp (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
0.0b	(- (* v v) 1)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
13×	`add-cube-cbrt`
12×	`prod-diff`
9×	`add-log-exp`
7×	`add-exp-log`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `fma-neg` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`expm1-def` `exp-prod`
2×	`sub-neg` `flip3--` `diff-log` `difference-of-sqr-1` `flip--` `rem-exp-log`
1×	`acos-asin` `log1p-udef` `prod-exp` `distribute-lft-out--`

Counts

4 → 82

Calls

4 calls:

Slowest

17.0ms	(- (exp (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) 1)
7.0ms	(- (* v v) 1)
2.0ms	(exp (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
2.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

series388.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

179.0ms	(- (exp (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1))))) 1)
143.0ms	(exp (log1p (acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))))
63.0ms	(- (* v v) 1)
3.0ms	(acos (/ (fma -5 (* v v) 1) (- (* v v) 1)))

simplify647.0ms

Counts: 112 → 94

prune1.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.7b

regimes62.0ms

Accuracy

0% (0.0b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch2.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.5s	2992×	body	2560	valid
1.9s	2546×	body	1280	valid
1.4s	8073×	body	80	nan
754.0ms	1263×	body	640	valid
319.0ms	589×	body	320	valid
143.0ms	410×	body	160	valid
26.0ms	200×	body	80	valid