Details

sample175.0ms

Algorithm

intervals

Results

89.0ms	112×	body	1280	valid
39.0ms	83×	body	640	valid
17.0ms	241×	body	80	nan
11.0ms	34×	body	320	valid
4.0ms	20×	body	160	valid
1.0ms	7×	body	80	valid

simplify46.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

46.0ms

(log (/ (- 1 eps) (+ 1 eps)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize29.0ms

Local error

Found 2 expressions with local error:

5.3b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
25×	`add-cube-cbrt`
18×	`difference-of-squares`
13×	`distribute-lft-out`
9×	`distribute-lft-out--`
7×	`add-exp-log`
6×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

Slowest

31.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

88.0ms	(log (/ (- 1 eps) (+ 1 eps)))
35.0ms	(/ (- 1 eps) (+ 1 eps))

simplify8.5s

Counts

159 → 104

Calls

159 calls:

Slowest

588.0ms	(* (+ 1 eps) (+ (* 1 1) (+ (* eps eps) (* 1 eps))))
516.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
506.0ms	(* (* (log (/ (- 1 eps) (+ 1 eps))) (log (/ (- 1 eps) (+ 1 eps)))) (log (/ (- 1 eps) (+ 1 eps))))
422.0ms	(* (cbrt (/ (- 1 eps) (+ 1 eps))) (cbrt (/ (- 1 eps) (+ 1 eps))))
317.0ms	(* (* (/ (- 1 eps) (+ 1 eps)) (/ (- 1 eps) (+ 1 eps))) (/ (- 1 eps) (+ 1 eps)))

prune470.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)
0.0b	(* eps (- (* (* eps -2/3) eps) 2))
0.0b	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `fma-udef` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

79.0ms	(* eps (- (* (* eps -2/3) eps) 2))
16.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(* eps (- (* (* eps -2/3) eps) 2))
111.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
40.0ms	(* (* eps -2/3) eps)
16.0ms	(* eps -2/3)

simplify11.9s

Counts

107 → 98

Calls

107 calls:

Slowest

699.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
517.0ms	(sqrt (fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2))))
513.0ms	(expm1 (fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2))))
510.0ms	(sqrt (fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2))))
495.0ms	(* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps))

prune953.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)
0.1b	(* eps (* (* eps -2/3) eps))
0.0b	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

Slowest

50.0ms	(* eps (* (* eps -2/3) eps))
17.0ms	(* eps -2/3)
14.0ms	(* (* eps -2/3) eps)
0.0ms	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))

series223.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

111.0ms	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))
52.0ms	(* eps (* (* eps -2/3) eps))
34.0ms	(* (* eps -2/3) eps)
26.0ms	(* eps -2/3)

simplify10.6s

Counts

87 → 89

Calls

87 calls:

Slowest

685.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
594.0ms	(* (* (* eps eps) eps) (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)))
569.0ms	(* (* (fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps))) (fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))) (fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps))))
502.0ms	(real->posit16 (fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps))))
485.0ms	(* (cbrt (fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))) (cbrt (fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))))

prune777.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.3b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
5.3b	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
0.0b	(/ (- 1 eps) (+ 1 eps))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

158×	`*-un-lft-identity`
106×	`add-sqr-sqrt`
96×	`times-frac`
66×	`log-prod`
60×	`sqrt-prod`
52×	`add-cube-cbrt`
36×	`difference-of-squares`
26×	`distribute-lft-out`
18×	`distribute-lft-out--`
12×	`associate-/l*`
10×	`add-exp-log`
8×	`pow1` `associate-/r*` `add-cbrt-cube` `associate-/r/`
6×	`log-pow`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `rem-log-exp` `flip--`

Counts

4 → 204

Calls

4 calls:

Slowest

22.0ms	(/ (- 1 eps) (+ 1 eps))
19.0ms	(/ (- 1 eps) (+ 1 eps))
8.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
6.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))

series332.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
124.0ms	(log (sqrt (/ (- 1 eps) (+ 1 eps))))
29.0ms	(/ (- 1 eps) (+ 1 eps))
27.0ms	(/ (- 1 eps) (+ 1 eps))

simplify14.5s

Counts

334 → 216

Calls

334 calls:

Slowest

619.0ms	(* (+ 1 eps) (+ (* 1 1) (+ (* eps eps) (* 1 eps))))
592.0ms	(* (+ 1 eps) (+ (* 1 1) (+ (* eps eps) (* 1 eps))))
479.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
441.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
431.0ms	(log (* (cbrt (sqrt (/ (- 1 eps) (+ 1 eps)))) (cbrt (sqrt (/ (- 1 eps) (+ 1 eps))))))

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch2.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

3.4s	3431×	body	1280	valid
1.5s	2538×	body	640	valid
639.0ms	8062×	body	80	nan
388.0ms	1228×	body	320	valid
141.0ms	606×	body	160	valid
18.0ms	197×	body	80	valid