Details

sample42.0ms

Algorithm

intervals

Results

25.0ms	256×	body	80	valid
6.0ms	256×	pre	80	true

simplify237.0ms

Calls

1 calls:

Slowest

237.0ms

(/ (/ (* (* i i) (* i i)) (* (* 2 i) (* 2 i))) (- (* (* 2 i) (* 2 i)) 1.0))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize15.0ms

Local error

Found 2 expressions with local error:

17.8b	(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
0.0b	(* 4 (* i i))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

519×	`add-sqr-sqrt`
300×	`times-frac`
261×	`associate-l`
225×	`*-un-lft-identity`
161×	`add-cube-cbrt`
140×	`unswap-sqr`
129×	`associate-r`
96×	`difference-of-squares`
83×	`swap-sqr`
56×	`*-commutative`
32×	`distribute-lft-out--`
20×	`associate-/r*`
19×	`add-cbrt-cube` `add-exp-log`
15×	`associate-/l*`
7×	`pow1` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp`
3×	`pow-prod-down`
2×	`expm1-log1p-u` `associate-*l/` `associate-/r/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`clear-num` `frac-2neg` `flip3--` `div-inv` `flip--`

Calls

2 calls:

Slowest

358.0ms	(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
30.0ms	(* 4 (* i i))

series180.0ms

Calls

2 calls:

Slowest

128.0ms	(/ (* i i) (* (- (* 4 (* i i)) 1.0) 4))
52.0ms	(* 4 (* i i))

simplify1.0m

Calls

675 calls:

Slowest

659.0ms	(/ (* (* (* i i) (* i i)) (* i i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
621.0ms	(/ (* (* (* i i) i) (* (* i i) i)) (* (* (* (- (* 4 (* i i)) 1.0) 4) (* (- (* 4 (* i i)) 1.0) 4)) (* (- (* 4 (* i i)) 1.0) 4)))
523.0ms	(/ (* (sqrt i) (sqrt i)) (* (- (* 4 (* i i)) 1.0) (sqrt 4)))
499.0ms	(/ (* 1 1) (* (- (* 4 (* i i)) 1.0) (* (cbrt 4) (cbrt 4))))
477.0ms	(/ (* i (* (cbrt i) (cbrt i))) (* (sqrt (- (* 4 (* i i)) 1.0)) (sqrt 4)))

prune3.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ i (fma (/ 1.0 i) -4 (* i 16)))
0.0b	(fma (/ 1.0 i) -4 (* i 16))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`add-cbrt-cube` `add-exp-log`
3×	`associate-/r` `associate-/l`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `fma-udef` `div-inv`

Calls

2 calls:

Slowest

4.0ms	(/ i (fma (/ 1.0 i) -4 (* i 16)))
0.0ms	(fma (/ 1.0 i) -4 (* i 16))

series211.0ms

Calls

2 calls:

Slowest

106.0ms	(/ i (fma (/ 1.0 i) -4 (* i 16)))
105.0ms	(fma (/ 1.0 i) -4 (* i 16))

simplify2.4s

Calls

31 calls:

Slowest

560.0ms	(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))
307.0ms	(/ (* (* i i) i) (* (* (fma (/ 1.0 i) -4 (* i 16)) (fma (/ 1.0 i) -4 (* i 16))) (fma (/ 1.0 i) -4 (* i 16))))
220.0ms	(- (+ (* 0.25 (pow i 2)) (+ (* 1.0 (pow i 4)) (* 4.0 (pow i 6)))))
199.0ms	(+ (* 0.015625 (/ 1 (pow i 2))) (+ 1/16 (* 0.00390625 (/ 1 (pow i 4)))))
106.0ms	(- (* 16 i) (* 4.0 (/ 1 i)))

prune433.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample1.4s

Algorithm

intervals

Results

914.0ms	8000×	body	80	valid
279.0ms	8000×	pre	80	true