Details

sample225.0ms

Algorithm

intervals

Results

48.0ms	10×	body	160	valid
39.0ms	43×	body	1280	valid
31.0ms	42×	body	640	valid
21.0ms	143×	body	80	valid
8.0ms	18×	body	320	valid

simplify94.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))
0.2b	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.1b	(- 1 (* (tan x) (tan x)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`pow1`
15×	`times-frac`
10×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
8×	`tan-quot`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
5×	`associate-/l*`
4×	`insert-posit16`
3×	`associate-/r*`
2×	`pow2` `frac-times` `pow-plus` `flip3--` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `unswap-sqr` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `flip-+` `div-inv`

Counts

4 → 114

Calls

4 calls:

Slowest

26.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
26.0ms	(* (tan x) (tan x))
15.0ms	(* (tan x) (tan x))
9.0ms	(- 1 (* (tan x) (tan x)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

128.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
81.0ms	(* (tan x) (tan x))
62.0ms	(- 1 (* (tan x) (tan x)))
57.0ms	(* (tan x) (tan x))

simplify1.1s

Counts: 126 → 126

prune1.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (tan x) (tan x))
0.2b	(* (+ 1 (tan x)) (/ (- 1 (tan x)) (+ 1 (* (tan x) (tan x)))))
0.2b	(+ 1 (tan x))
0.2b	(- 1 (tan x))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
27×	`associate-r`
19×	`times-frac` `add-cube-cbrt`
13×	`pow1`
11×	`add-cbrt-cube` `add-exp-log`
8×	`add-log-exp` `difference-of-squares`
7×	`associate-l`
4×	`flip3-+` `tan-quot` `flip-+` `insert-posit16` `distribute-lft-out--`
3×	`frac-times` `swap-sqr` `associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
2×	`pow-prod-down` `associate-r/` `associate-/r/` `-commutative` `distribute-lft-out`
1×	`pow2` `cbrt-undiv` `+-commutative` `sum-log` `sub-neg` `pow-plus` `flip3--` `diff-log` `div-exp` `pow-sqr` `pow-prod-up` `div-inv` `flip--`

Counts

4 → 107

Calls

4 calls:

Slowest

34.0ms	(* (+ 1 (tan x)) (/ (- 1 (tan x)) (+ 1 (* (tan x) (tan x)))))
23.0ms	(* (tan x) (tan x))
8.0ms	(- 1 (tan x))
6.0ms	(+ 1 (tan x))

series245.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

140.0ms	(* (+ 1 (tan x)) (/ (- 1 (tan x)) (+ 1 (* (tan x) (tan x)))))
57.0ms	(* (tan x) (tan x))
26.0ms	(+ 1 (tan x))
22.0ms	(- 1 (tan x))

simplify564.0ms

Counts: 119 → 119

prune969.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

136×	`pow1`
44×	`tan-quot`
39×	`pow-prod-up`
26×	`pow-prod-down`
25×	`pow-sqr`
22×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
21×	`pow-plus`
20×	`frac-times`
16×	`pow2` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-l/` `associate-r/`
11×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr` `associate-r` `associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 166

Calls

4 calls:

Slowest

88.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
26.0ms	(* (tan x) (tan x))
23.0ms	(* (tan x) (tan x))
13.0ms	(* (tan x) (tan x))

series241.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

65.0ms	(* (tan x) (tan x))
62.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
57.0ms	(* (tan x) (tan x))
57.0ms	(* (tan x) (tan x))

simplify2.6s

Counts: 178 → 178

prune1.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

136×	`pow1`
44×	`tan-quot`
39×	`pow-prod-up`
26×	`pow-prod-down`
25×	`pow-sqr`
22×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
21×	`pow-plus`
20×	`frac-times`
16×	`pow2` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-l/` `associate-r/`
11×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr` `associate-r` `associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 166

Calls

4 calls:

Slowest

122.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
26.0ms	(* (tan x) (tan x))
25.0ms	(* (tan x) (tan x))
14.0ms	(* (tan x) (tan x))

series234.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

71.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
67.0ms	(* (tan x) (tan x))
50.0ms	(* (tan x) (tan x))
46.0ms	(* (tan x) (tan x))

simplify2.2s

Counts: 178 → 178

prune1.6s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes313.0ms

Accuracy

0% (0.3b remaining)

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

bsearch3.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.4s	1548×	body	1280	valid
1.3s	1227×	body	640	valid
1.3s	4259×	body	80	valid
413.0ms	651×	body	320	valid
159.0ms	315×	body	160	valid