Details

sample85.0ms

Algorithm

intervals

Results

55.0ms

264×

body

valid

simplify247.0ms

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize77.0ms

Local error

Found 4 expressions with local error:

27.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
0.1b	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
0.1b	(* (+ (* x y) z) y)
0.1b	(* (+ (* (+ y a) y) b) y)

rewrite251.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-cbrt-cube` `add-exp-log`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
6×	`associate-*l/`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `prod-exp` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 103

Calls

4 calls:

Slowest

124.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
51.0ms	(* (+ (* (+ y a) y) b) y)
40.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
33.0ms	(* (+ (* x y) z) y)

series655.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

471.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
74.0ms	(* (+ (* (+ (* x y) z) y) 27464.7644705) y)
58.0ms	(* (+ (* (+ y a) y) b) y)
52.0ms	(* (+ (* x y) z) y)

simplify817.0ms

Counts: 125 → 115

prune2.4s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 27.2b

localize76.0ms

Local error

Found 4 expressions with local error:

27.9b	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
19.9b	(cbrt (* (+ (* x y) z) y))
19.9b	(cbrt (* (+ (* x y) z) y))
19.9b	(cbrt (* (+ (* x y) z) y))

rewrite399.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`cbrt-div` `add-cbrt-cube` `associate-*l/` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 76

Calls

4 calls:

Slowest

373.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
9.0ms	(cbrt (* (+ (* x y) z) y))
8.0ms	(cbrt (* (+ (* x y) z) y))
8.0ms	(cbrt (* (+ (* x y) z) y))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

581.0ms	(/ (+ (* (+ (* (+ (* (* (cbrt (* (+ (* x y) z) y)) (cbrt (* (+ (* x y) z) y))) (cbrt (* (+ (* x y) z) y))) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (+ (* (+ y a) y) b) y) c) y) i))
197.0ms	(cbrt (* (+ (* x y) z) y))
187.0ms	(cbrt (* (+ (* x y) z) y))
176.0ms	(cbrt (* (+ (* x y) z) y))

simplify876.0ms

Counts: 104 → 88

prune2.2s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.2b

localize100.0ms

Local error

Found 4 expressions with local error:

27.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))
17.2b	(cbrt (+ (* (+ y a) y) b))
17.2b	(cbrt (+ (* (+ y a) y) b))
17.2b	(cbrt (+ (* (+ y a) y) b))

rewrite420.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 82

Calls

4 calls:

Slowest

390.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))
14.0ms	(cbrt (+ (* (+ y a) y) b))
8.0ms	(cbrt (+ (* (+ y a) y) b))
7.0ms	(cbrt (+ (* (+ y a) y) b))

series885.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

445.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))
161.0ms	(cbrt (+ (* (+ y a) y) b))
152.0ms	(cbrt (+ (* (+ y a) y) b))
126.0ms	(cbrt (+ (* (+ y a) y) b))

simplify609.0ms

Counts: 116 → 94

prune2.4s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 27.2b

localize133.0ms

Local error

Found 4 expressions with local error:

27.9b	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (* (cbrt (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b)))) (cbrt (cbrt (+ (* (+ y a) y) b))))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))
17.2b	(cbrt (+ (* (+ y a) y) b))
17.2b	(cbrt (+ (* (+ y a) y) b))
17.2b	(cbrt (+ (* (+ y a) y) b))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`cbrt-prod` `times-frac`
6×	`cbrt-div` `add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow1/3` `associate-/l`
2×	`associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 82

Calls

4 calls:

Slowest

1.5s	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (* (cbrt (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b)))) (cbrt (cbrt (+ (* (+ y a) y) b))))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))
13.0ms	(cbrt (+ (* (+ y a) y) b))
13.0ms	(cbrt (+ (* (+ y a) y) b))
7.0ms	(cbrt (+ (* (+ y a) y) b))

series949.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

457.0ms	(/ (+ (* (+ (* (+ (* (+ (* x y) z) y) 27464.7644705) y) 230661.510616) y) t) (+ (* (+ (* (* (cbrt (+ (* (+ y a) y) b)) (* (cbrt (* (cbrt (+ (* (+ y a) y) b)) (cbrt (+ (* (+ y a) y) b)))) (cbrt (cbrt (+ (* (+ y a) y) b))))) (* (cbrt (+ (* (+ y a) y) b)) y)) c) y) i))
177.0ms	(cbrt (+ (* (+ y a) y) b))
158.0ms	(cbrt (+ (* (+ y a) y) b))
157.0ms	(cbrt (+ (* (+ y a) y) b))

simplify784.0ms

Counts: 116 → 94

prune2.4s

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 27.2b

regimes2.0s

Accuracy

0% (0.8b remaining)

Error of 28.2b against oracle of 27.4b and baseline of 28.2b

bsearch7.0ms

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.5s

8220×

body

valid