Details

sample77.0ms

Algorithm

intervals

Results

33.0ms

430×

body

valid

simplify148.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 9.0) y)
0.5b	(* (* z 4.0) t)
5.3b	(* (* (* z 4.0) t) a)
17.7b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

26.0ms	(* (* x 9.0) y)
27.0ms	(* (* z 4.0) t)
66.0ms	(* (* (* z 4.0) t) a)
201.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series344.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (* x 9.0) y)
20.0ms	(* (* z 4.0) t)
33.0ms	(* (* (* z 4.0) t) a)
271.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify76.0ms

Counts: 95 → 95

prune383.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.8b	(/ b (* z c))
6.0b	(/ (* x y) (* z c))
7.8b	(/ (* a t) c)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
12.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))
15.0ms	(/ (* a t) c)

series153.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* 9.0 (/ (* x y) (* z c)))
30.0ms	(/ b (* z c))
42.0ms	(/ (* x y) (* z c))
26.0ms	(/ (* a t) c)

simplify59.0ms

Counts: 104 → 104

prune364.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.8b	(/ b (* z c))
5.7b	(/ a (/ c t))
6.0b	(/ (* x y) (* z c))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 141

Calls

4 calls:

40.0ms	(* 9.0 (/ (* x y) (* z c)))
19.0ms	(/ b (* z c))
12.0ms	(/ a (/ c t))
14.0ms	(/ (* x y) (* z c))

series160.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* 9.0 (/ (* x y) (* z c)))
29.0ms	(/ b (* z c))
35.0ms	(/ a (/ c t))
42.0ms	(/ (* x y) (* z c))

simplify74.0ms

Counts: 153 → 153

prune557.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.8b	(/ b (* z c))
4.8b	(* (/ a c) t)
6.0b	(/ (* x y) (* z c))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `-un-lft-identity` `associate-l*` `prod-exp` `cbrt-unprod`
15×	`times-frac`
11×	`cbrt-undiv` `div-exp`
8×	`pow1` `associate-r`
4×	`div-inv` `associate-/l*` `add-log-exp`
3×	`unswap-sqr`
2×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative`
1×	`associate-r/` `associate-l/`

Counts

4 → 103

Calls

4 calls:

39.0ms	(* 9.0 (/ (* x y) (* z c)))
12.0ms	(/ b (* z c))
29.0ms	(* (/ a c) t)
19.0ms	(/ (* x y) (* z c))

series153.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* 9.0 (/ (* x y) (* z c)))
29.0ms	(/ b (* z c))
23.0ms	(* (/ a c) t)
44.0ms	(/ (* x y) (* z c))

simplify62.0ms

Counts: 115 → 115

prune342.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes816.0ms

Accuracy

4.1% (10.8b remaining)

Error of 10.9b against oracle of 0.1b and baseline of 11.3b

bsearch707.0ms

Steps

Iters	Range		Point
8	7.759688750150442e+242	3.599683376691976e+245	3.486647258756959e+245
6	8.849150669944113e-72	5.183189942596373e-71	1.2672421849506084e-71
10	3.869972697275229e-117	3.41637984719367e-106	1.1736273432612786e-111
8	3.302236451040711e-292	1.6903208464864615e-288	1.598096783313447e-291
8	-8.661777218326707e-285	-1.2412543441267e-288	-5.034624607544584e-288
7	-5.040021281575196e-125	-2.644020604702261e-127	-3.778332531109497e-126

simplify6.6s

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.7s

12773×

body

valid