Details

sample17.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify2.0ms

Counts: 1 → 1

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.2b	(* (/ 841.0 108.0) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

15.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 108.0) x)

series65.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
18.0ms	(* (/ 841.0 108.0) x)

simplify76.0ms

Counts: 50 → 50

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
0.3b	(* 841.0 (/ x 108.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

20.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
18.0ms	(* 841.0 (/ x 108.0))

series68.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
26.0ms	(* 841.0 (/ x 108.0))

simplify48.0ms

Counts: 50 → 50

prune108.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
0.7b	(/ (* 841.0 x) 108.0)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `frac-add` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 34

Calls

2 calls:

22.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
12.0ms	(/ (* 841.0 x) 108.0)

series67.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
22.0ms	(/ (* 841.0 x) 108.0)

simplify77.0ms

Counts: 40 → 40

prune75.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
0.1b	(* (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))
0.2b	(* (/ 841.0 108.0) x)
0.2b	(* (/ 841.0 108.0) x)

rewrite235.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
32×	`associate-l`
29×	`add-cube-cbrt` `*-un-lft-identity`
27×	`sqrt-div`
24×	`pow1`
21×	`sqrt-prod`
20×	`times-frac`
16×	`add-exp-log` `add-cbrt-cube`
14×	`associate-*l/`
12×	`associate-r`
9×	`frac-times` `sqrt-pow1` `flip3-+` `pow1/2` `frac-add` `flip-+`
8×	`swap-sqr` `unswap-sqr`
5×	`pow-prod-down` `prod-exp` `pow-prod-up` `cbrt-unprod`
4×	`add-log-exp`
3×	`associate-r/` `pow-sqr` `-commutative`
2×	`cbrt-undiv` `div-exp` `div-inv`
1×	`pow2` `rem-sqrt-square` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 144

Calls

4 calls:

33.0ms	(sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
144.0ms	(* (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))
23.0ms	(* (/ 841.0 108.0) x)
28.0ms	(* (/ 841.0 108.0) x)

series127.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
47.0ms	(* (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))
17.0ms	(* (/ 841.0 108.0) x)
22.0ms	(* (/ 841.0 108.0) x)

simplify39.0ms

Counts: 156 → 156

prune408.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

end0.0ms

sample533.0ms

Algorithm

intervals

Results

335.0ms	8012×	body	80	valid
0.0ms	1×	body	320	valid