Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

318×

body

valid

simplify1.1s

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ (- y z) 1.0))
10.5b	(/ (* x (+ (- y z) 1.0)) z)

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
5×	`associate-r`
4×	`pow1` `associate-*r/`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `distribute-lft-out--` `unswap-sqr`

Counts

2 → 47

Calls

2 calls:

128.0ms	(* x (+ (- y z) 1.0))
47.0ms	(/ (* x (+ (- y z) 1.0)) z)

series110.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* x (+ (- y z) 1.0))
67.0ms	(/ (* x (+ (- y z) 1.0)) z)

simplify604.0ms

Counts: 53 → 53

prune99.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ (- y z) 1.0))
2.2b	(/ x (/ z (+ (- y z) 1.0)))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
138×	`times-frac`
70×	`add-sqr-sqrt` `add-cube-cbrt`
32×	`distribute-lft-out`
26×	`associate-/r*`
16×	`distribute-lft-out--`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 139

Calls

2 calls:

41.0ms	(/ z (+ (- y z) 1.0))
64.0ms	(/ x (/ z (+ (- y z) 1.0)))

series102.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ z (+ (- y z) 1.0))
48.0ms	(/ x (/ z (+ (- y z) 1.0)))

simplify706.0ms

Counts: 145 → 145

prune286.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
2.2b	(/ x (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ (cbrt z) (cbrt (+ (- y z) 1.0)))))

rewrite242.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
31×	`add-cbrt-cube`
24×	`cbrt-undiv` `div-exp`
18×	`prod-exp` `cbrt-unprod`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/r/` `associate-/l*`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
235.0ms	(/ x (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ (cbrt z) (cbrt (+ (- y z) 1.0)))))

series977.0ms

Counts

4 → 12

Calls

4 calls:

291.0ms	(cbrt z)
294.0ms	(cbrt z)
288.0ms	(cbrt z)
104.0ms	(/ x (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ (- y z) 1.0)) (cbrt (+ (- y z) 1.0)))) (/ (cbrt z) (cbrt (+ (- y z) 1.0)))))

simplify859.0ms

Counts: 87 → 87

prune205.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
0.0b	(+ (/ (* x y) z) (* 1.0 (/ x z)))
7.0b	(/ (* x y) z)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

120.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
28.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
14.0ms	(/ (* x y) z)

series151.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(- (+ (/ (* x y) z) (* 1.0 (/ x z))) x)
63.0ms	(+ (/ (* x y) z) (* 1.0 (/ x z)))
28.0ms	(/ (* x y) z)

simplify453.0ms

Counts: 58 → 58

prune119.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes77.0ms

Accuracy

-119% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 1.6b

bsearch94.0ms

Steps

Iters	Range		Point
8	4.0631869905280416e-53	1.85971938241073e-48	8.931640994224886e-49
9	-1.8152232105286475e+59	-2.8580099105571822e+51	-2.4335967943887723e+55

simplify675.0ms

end0.0ms

sample862.0ms

Algorithm

intervals

Results

471.0ms

10113×

body

valid