Details

sample150.0ms

Algorithm

intervals

Results

79.0ms

525×

body

valid

simplify79.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.3b

localize24.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
5.2b	(* (* (* w w) r) r)
6.8b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
10.3b	(* (* w w) r)

rewrite521.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

203.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
64.0ms	(* (* (* w w) r) r)
223.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
23.0ms	(* (* w w) r)

series249.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
35.0ms	(* (* (* w w) r) r)
85.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
32.0ms	(* (* w w) r)

simplify95.0ms

Counts: 131 → 131

prune311.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.9b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(/ 2.0 (* r r))
5.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
5.2b	(* (* (* w w) r) r)
10.3b	(* (* w w) r)

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log` `add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
23×	`pow1`
17×	`associate-r`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `pow-prod-down`
10×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
8×	`times-frac`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`flip3--` `associate-l` `-commutative` `flip--` `associate-/l`
2×	`frac-times` `associate-*l/` `associate-/r/` `div-inv`
1×	`frac-2neg` `clear-num` `associate-/r*` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 108

Calls

4 calls:

9.0ms	(/ 2.0 (* r r))
187.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
64.0ms	(* (* (* w w) r) r)
28.0ms	(* (* w w) r)

series166.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ 2.0 (* r r))
84.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (* (* w w) r) r) (- 1.0 v)))
35.0ms	(* (* (* w w) r) r)
20.0ms	(* (* w w) r)

simplify92.0ms

Counts: 120 → 120

prune331.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.3b	(* (fabs (* w r)) (fabs (* w r)))
0.6b	(/ 2.0 (* r r))
5.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
22×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
16×	`pow1`
14×	`add-cube-cbrt` `associate-r` `prod-exp` `cbrt-unprod`
13×	`times-frac`
8×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`associate-*r/`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r/` `flip--` `associate-/l*` `add-log-exp`
3×	`swap-sqr` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 112

Calls

4 calls:

18.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
9.0ms	(/ 2.0 (* r r))
60.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
10.0ms	(* (fabs (* w r)) (fabs (* w r)))
27.0ms	(/ 2.0 (* r r))
75.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify74.0ms

Counts: 124 → 124

prune455.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
0.2b	(/ (/ 2.0 r) r)
0.3b	(* (fabs (* w r)) (fabs (* w r)))
5.0b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
62×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
54×	`add-cube-cbrt`
37×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
14×	`associate-r` `associate-/l*`
13×	`prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
7×	`div-inv`
5×	`associate-*r/`
4×	`flip3--` `associate-l` `pow-prod-down` `associate-/r/` `flip--` `add-log-exp`
3×	`swap-sqr` `distribute-lft-out--` `difference-of-squares`
2×	`frac-times` `frac-2neg` `associate-l/` `clear-num` `-commutative`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `associate-/l/` `unswap-sqr`

Counts

4 → 161

Calls

4 calls:

20.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
12.0ms	(/ (/ 2.0 r) r)
8.0ms	(* (fabs (* w r)) (fabs (* w r)))
61.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

series165.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v))
33.0ms	(/ (/ 2.0 r) r)
10.0ms	(* (fabs (* w r)) (fabs (* w r)))
71.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (* (fabs (* w r)) (fabs (* w r))) (- 1.0 v)))

simplify94.0ms

Counts: 173 → 173

prune596.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.3s

17052×

body

valid