Details

sample55.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
16.0ms	254×	body	80	nan

simplify66.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 3.0 (* v v))
0.3b	(* PI t)
0.4b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite194.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
16×	`pow1`
13×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`flip3--` `sqrt-div` `associate-r` `associate-/r/` `flip--`
7×	`associate-l` `pow-prod-down`
4×	`cbrt-undiv` `frac-times` `div-exp` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`associate-*l/` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `clear-num` `associate-/r*` `sqrt-prod` `div-inv`

Counts

4 → 94

Calls

4 calls:

17.0ms	(* 3.0 (* v v))
7.0ms	(* PI t)
36.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
131.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series862.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* 3.0 (* v v))
22.0ms	(* PI t)
199.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
613.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify106.0ms

Counts: 106 → 106

prune335.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI t)
0.4b	(* (* PI t) (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))
0.5b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))) (- 1.0 (* v v))))
3.1b	(log (exp (* 3.0 (* v v))))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
18×	`associate-*r/`
12×	`pow1` `add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`flip3--` `sqrt-div` `associate-/r/` `flip--`
7×	`associate-r`
5×	`add-log-exp`
4×	`cbrt-undiv` `frac-times` `div-exp` `associate-l` `pow-prod-down`
3×	`log-prod` `times-frac` `log-pow` `associate-/l*`
2×	`associate-l/` `-commutative` `associate-/l/`
1×	`exp-prod` `exp-to-pow` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/r*` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

7.0ms	(* PI t)
45.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))
168.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))) (- 1.0 (* v v))))
5.0ms	(log (exp (* 3.0 (* v v))))

series857.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI t)
199.0ms	(* (* PI t) (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))
605.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))) (- 1.0 (* v v))))
28.0ms	(log (exp (* 3.0 (* v v))))

simplify99.0ms

Counts: 101 → 101

prune379.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.3b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))))
0.4b	(* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))
0.5b	(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))) (- 1.0 (* v v))))
3.1b	(log (exp (* 3.0 (* v v))))

rewrite474.0ms

Algorithm

rewrite-expression-head

Rules

30×	`associate-*r/`
25×	`add-exp-log` `add-cbrt-cube`
12×	`pow1` `add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-div` `prod-exp` `cbrt-unprod`
9×	`flip3--` `flip--`
8×	`associate-/r/`
6×	`associate-l`
5×	`associate-r` `add-log-exp`
4×	`cbrt-undiv` `frac-times` `div-exp` `pow-prod-down`
3×	`log-prod` `times-frac` `log-pow` `associate-/l*`
2×	`associate-l/` `-commutative` `associate-/l/`
1×	`exp-prod` `exp-to-pow` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/r*` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

94.0ms	(* PI (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))))
35.0ms	(* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))
336.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))) (- 1.0 (* v v))))
5.0ms	(log (exp (* 3.0 (* v v))))

series1.0s

Counts

4 → 12

Calls

4 calls:

203.0ms	(* PI (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))))
163.0ms	(* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))
622.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v))))))))) (- 1.0 (* v v))))
33.0ms	(log (exp (* 3.0 (* v v))))

simplify97.0ms

Counts: 103 → 103

prune405.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.3b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (- 1.0 (* 5.0 (* v v))) (* (* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))))) (- 1.0 (* v v))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
3.1b	(log (exp (* 3.0 (* v v))))

rewrite963.0ms

Algorithm

rewrite-expression-head

Rules

26×	`associate-*r/`
24×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
10×	`prod-exp` `cbrt-unprod`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
7×	`pow1` `flip3--` `flip--`
6×	`sqrt-div` `sqrt-prod`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`frac-times`
3×	`log-prod` `times-frac` `log-pow` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-*l/` `associate-/l/`
1×	`exp-prod` `exp-to-pow` `frac-2neg` `div-sub` `rem-log-exp` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 78

Calls

4 calls:

953.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))))) (- 1.0 (* v v))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
5.0ms	(log (exp (* 3.0 (* v v))))

series634.0ms

Counts

4 → 8

Calls

4 calls:

607.0ms	(/ (- 1.0 (* 5.0 (* v v))) (* (* (sqrt PI) (* (sqrt PI) (* t (sqrt (* 2.0 (- 1.0 (log (exp (* 3.0 (* v v)))))))))) (- 1.0 (* v v))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
27.0ms	(log (exp (* 3.0 (* v v))))

simplify88.0ms

Counts: 86 → 86

prune317.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes188.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

959.0ms	8073×	body	80	nan
768.0ms	8000×	body	80	valid