Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

436×

body

valid

simplify3.7s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.2s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	91	19
3	267	19
4	704	19
5	1606	19
6	3641	17
done	5000	17

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.7b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.2b	(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
3.2b	(/ (+ b (* (* x 9.0) y)) z)
8.3b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

7.0ms	(* (* x 9.0) y)
22.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
8.0ms	(/ (+ b (* (* x 9.0) y)) z)
46.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

series375.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (* x 9.0) y)
144.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
60.0ms	(/ (+ b (* (* x 9.0) y)) z)
151.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

simplify815.0ms

Counts

101 → 101

Iterations

Useful iterations: 2 (197.0ms)

Iter	Nodes	Cost
0	182	1845
1	440	1785
2	1548	1639
done	5000	1639

prune323.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.5b	(/ (* a t) c)
5.4b	(/ b (* z c))
10.5b	(/ (* x y) (* z c))

rewrite26.0ms

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:

11.0ms	(* 9.0 (/ (* x y) (* z c)))
3.0ms	(/ (* a t) c)
5.0ms	(/ b (* z c))
5.0ms	(/ (* x y) (* z c))

series109.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(/ (* a t) c)
20.0ms	(/ b (* z c))
28.0ms	(/ (* x y) (* z c))

simplify713.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	160	1082
1	420	1049
2	1932	811
done	5000	811

prune285.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.4b

localize16.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ (* a t) c)
4.3b	(* z (/ c y))
5.4b	(/ b (* z c))
6.5b	(/ x (* z (/ c y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
6×	`pow1` `prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `associate-/r/` `*-commutative`

Counts

4 → 98

Calls

4 calls:

4.0ms	(/ (* a t) c)
10.0ms	(* z (/ c y))
3.0ms	(/ b (* z c))
5.0ms	(/ x (* z (/ c y)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (* a t) c)
19.0ms	(* z (/ c y))
20.0ms	(/ b (* z c))
32.0ms	(/ x (* z (/ c y)))

simplify671.0ms

Counts

110 → 110

Iterations

Useful iterations: 2 (163.0ms)

Iter	Nodes	Cost
0	184	932
1	447	899
2	1557	753
done	5000	753

prune364.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ (* a t) c)
4.3b	(* z (/ c y))
6.4b	(* (/ 1 z) (/ b c))
6.5b	(/ x (* z (/ c y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

52×	`add-sqr-sqrt`
45×	`add-exp-log`
41×	`times-frac`
35×	`add-cbrt-cube`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt`
26×	`associate-r`
16×	`associate-l`
15×	`div-exp`
13×	`prod-exp`
11×	`cbrt-undiv`
9×	`cbrt-unprod`
8×	`pow1` `unswap-sqr`
5×	`div-inv`
4×	`associate-/r` `associate-/l` `add-log-exp`
3×	`associate-*r/`
2×	`rec-exp` `frac-2neg` `1-exp` `pow-prod-down` `clear-num` `*-commutative`
1×	`frac-times` `associate-*l/` `associate-/r/`

Counts

4 → 133

Calls

4 calls:

3.0ms	(/ (* a t) c)
8.0ms	(* z (/ c y))
14.0ms	(* (/ 1 z) (/ b c))
5.0ms	(/ x (* z (/ c y)))

series94.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* a t) c)
19.0ms	(* z (/ c y))
19.0ms	(* (/ 1 z) (/ b c))
35.0ms	(/ x (* z (/ c y)))

simplify796.0ms

Counts

145 → 145

Iterations

Useful iterations: 2 (258.0ms)

Iter	Nodes	Cost
0	247	1380
1	669	1234
2	2091	1024
done	5001	1024

prune446.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes725.0ms

Accuracy

45.6% (6.5b remaining)

Error of 6.6b against oracle of 0.0b and baseline of 12.1b

bsearch220.0ms

Steps

Iters	Range		Point
10	1.0628806253940829e+263	1.7560299906749362e+274	1.7277971702575536e+274
6	7.964485787414721	38.74833267440093	10.564941264529791
7	-7.970522167051466e-50	-2.5672855418394862e-51	-2.1285760666251394e-50

simplify8.0ms

Iterations

Useful iterations: done (7.0ms)

Iter	Nodes	Cost
0	39	96
1	55	78
2	58	56
3	61	56
done	61	55

end0.0ms

sample1.1s

Algorithm

intervals

Results

590.0ms

12800×

body

valid