Details

sample510.0ms

Algorithm

intervals

Results

357.0ms	126×	body	2560	valid
87.0ms	66×	body	1280	valid
33.0ms	41×	body	640	valid
10.0ms	256×	pre	80	true
9.0ms	16×	body	320	valid
3.0ms	7×	body	160	valid

simplify15.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.9b

localize10.0ms

Local error

Found 2 expressions with local error:

1.8b	(- (/ 1 x) (/ 1 (tan x)))
0.0b	(/ 1 (tan x))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
208×	`add-cube-cbrt`
182×	`prod-diff`
33×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`difference-of-squares`
7×	`distribute-lft-out--`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow1` `associate-/r` `associate-/l`
2×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
1×	`cbrt-undiv` `rec-exp` `clear-num` `sub-neg` `frac-2neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

2 → 262

Calls

2 calls:

Slowest

38.0ms	(- (/ 1 x) (/ 1 (tan x)))
6.0ms	(/ 1 (tan x))

series111.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

82.0ms	(- (/ 1 x) (/ 1 (tan x)))
29.0ms	(/ 1 (tan x))

simplify1.5s

Counts: 268 → 268

prune2.2s

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (+ (* x (* x 1/45)) 1/3))
0.2b	(* x 1/45)
0.1b	(* x (* x 1/45))
0.0b	(+ (* x (* x 1/45)) 1/3)

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

Slowest

54.0ms	(* x (+ (* x (* x 1/45)) 1/3))
14.0ms	(+ (* x (* x 1/45)) 1/3)
14.0ms	(* x (* x 1/45))
8.0ms	(* x 1/45)

series277.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

129.0ms	(* x (+ (* x (* x 1/45)) 1/3))
93.0ms	(+ (* x (* x 1/45)) 1/3)
30.0ms	(* x (* x 1/45))
24.0ms	(* x 1/45)

simplify1.5s

Counts: 94 → 94

prune877.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x (fma (* (* x (* x 1/45)) (* x (* x 1/45))) (* x (* x 1/45)) 1/27))
0.4b	(/ (* x (fma (* (* x (* x 1/45)) (* x (* x 1/45))) (* x (* x 1/45)) 1/27)) (+ (* (* x (* x 1/45)) (* x (* x 1/45))) (- (* 1/3 1/3) (* (* x (* x 1/45)) 1/3))))
0.2b	(* x 1/45)
0.2b	(* x 1/45)

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

Slowest

178.0ms	(/ (* x (fma (* (* x (* x 1/45)) (* x (* x 1/45))) (* x (* x 1/45)) 1/27)) (+ (* (* x (* x 1/45)) (* x (* x 1/45))) (- (* 1/3 1/3) (* (* x (* x 1/45)) 1/3))))
6.0ms	(* x (fma (* (* x (* x 1/45)) (* x (* x 1/45))) (* x (* x 1/45)) 1/27))
5.0ms	(* x 1/45)
5.0ms	(* x 1/45)

series907.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

529.0ms	(/ (* x (fma (* (* x (* x 1/45)) (* x (* x 1/45))) (* x (* x 1/45)) 1/27)) (+ (* (* x (* x 1/45)) (* x (* x 1/45))) (- (* 1/3 1/3) (* (* x (* x 1/45)) 1/3))))
318.0ms	(* x (fma (* (* x (* x 1/45)) (* x (* x 1/45))) (* x (* x 1/45)) 1/27))
30.0ms	(* x 1/45)
29.0ms	(* x 1/45)

simplify3.7s

Counts: 103 → 103

prune1.4s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x 1/45)
0.2b	(* x 1/45)
0.2b	(* x 1/45)
0.2b	(* x 1/45)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
12×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

Slowest

15.0ms	(* x 1/45)
10.0ms	(* x 1/45)
5.0ms	(* x 1/45)
5.0ms	(* x 1/45)

series75.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

22.0ms	(* x 1/45)
21.0ms	(* x 1/45)
16.0ms	(* x 1/45)
16.0ms	(* x 1/45)

simplify1.5s

Counts: 96 → 96

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample16.7s

Algorithm

intervals

Results

10.1s	3274×	body	2560	valid
3.8s	2463×	body	1280	valid
1.6s	1297×	body	640	valid
465.0ms	586×	body	320	valid
347.0ms	8000×	pre	80	true
162.0ms	325×	body	160	valid
9.0ms	55×	body	80	valid