Details

sample31.0ms

Algorithm

intervals

Results

13.0ms

310×

body

valid

simplify73.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (+ x 4.0) y) (* (/ x y) z))
0.0b	(/ (+ x 4.0) y)
3.4b	(* (/ x y) z)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
22×	`times-frac`
20×	`add-cube-cbrt`
13×	`associate-l`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `add-log-exp`
4×	`distribute-lft-out` `associate-/l*`
3×	`associate-r` `associate-l/` `associate-/r`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `*-commutative` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

3 → 79

Calls

3 calls:

113.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
26.0ms	(/ (+ x 4.0) y)
19.0ms	(* (/ x y) z)

series128.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (/ (+ x 4.0) y) (* (/ x y) z))
33.0ms	(/ (+ x 4.0) y)
34.0ms	(* (/ x y) z)

simplify2.0s

Counts: 88 → 88

prune315.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
0.0b	(+ (* 4.0 (/ 1 y)) (/ x y))
3.4b	(* (/ x y) z)

rewrite260.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

187.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
39.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
32.0ms	(* (/ x y) z)

series161.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(- (+ (* 4.0 (/ 1 y)) (/ x y)) (* (/ x y) z))
48.0ms	(+ (* 4.0 (/ 1 y)) (/ x y))
31.0ms	(* (/ x y) z)

simplify861.0ms

Counts: 73 → 73

prune291.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.2b	(* (/ (cbrt x) y) z)
3.4b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
30×	`add-sqr-sqrt`
29×	`associate-l`
23×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1`
10×	`cbrt-undiv`
6×	`1-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`frac-times` `associate-*r/`

Counts

4 → 109

Calls

4 calls:

1.0ms	(cbrt x)
2.0ms	(cbrt x)
34.0ms	(* (/ (cbrt x) y) z)
73.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series800.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt x)
294.0ms	(cbrt x)
176.0ms	(* (/ (cbrt x) y) z)
74.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify909.0ms

Counts: 121 → 121

prune594.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
1.0b	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
2.8b	(* (/ x y) (* (cbrt z) (cbrt z)))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-exp-log`
21×	`add-cbrt-cube`
18×	`pow1` `add-sqr-sqrt`
17×	`prod-exp` `cbrt-unprod`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`associate-l`
10×	`times-frac`
9×	`cbrt-prod` `pow-prod-down`
7×	`associate-r`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`associate-*l/`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 86

Calls

4 calls:

2.0ms	(cbrt z)
2.0ms	(cbrt z)
128.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
36.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

series871.0ms

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt z)
328.0ms	(cbrt z)
85.0ms	(* (* (/ x y) (* (cbrt z) (cbrt z))) (cbrt z))
163.0ms	(* (/ x y) (* (cbrt z) (cbrt z)))

simplify629.0ms

Counts: 98 → 98

prune301.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes150.0ms

Accuracy

-110.4% (3.4b remaining)

Error of 3.4b against oracle of 0.0b and baseline of 1.6b

bsearch90.0ms

Steps

Iters	Range		Point
6	6.466306288684335e-95	2.5948480189625455e-94	2.5573295651290014e-94
6	-1.492940796143681e-10	-2.9010716559439385e-11	-1.3888570802766273e-10

simplify4.4s

end0.0ms

sample1.0s

Algorithm

intervals

Results

618.0ms

10037×

body

valid