Details

sample82.0ms

Algorithm

intervals

Results

37.0ms

430×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	805
3	287
2	93
1	37
0	18

prune36.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* x 9.0) y) b)
0.2b	(* (* x 9.0) y)
2.5b	(/ (+ (* (* x 9.0) y) b) z)
8.8b	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

rewrite331.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
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` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `flip3--` `div-sub` `associate-l` `*-commutative` `flip--`

Counts

4 → 88

Calls

4 calls:

25.0ms	(+ (* (* x 9.0) y) b)
26.0ms	(* (* x 9.0) y)
51.0ms	(/ (+ (* (* x 9.0) y) b) z)
224.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

series747.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (* x 9.0) y) b)
22.0ms	(* (* x 9.0) y)
71.0ms	(/ (+ (* (* x 9.0) y) b) z)
616.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

simplify1.2s

Counts

100 → 100

Iterations

Iter	Nodes
done	5002
2	2120
1	445
0	180

prune809.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.5b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (* y 9.0)) b)
0.2b	(* x (* y 9.0))
2.5b	(/ (+ (* x (* y 9.0)) b) z)
8.8b	(/ (- (/ (+ (* x (* y 9.0)) b) z) (* (* 4.0 a) t)) c)

rewrite360.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

20.0ms	(+ (* x (* y 9.0)) b)
23.0ms	(* x (* y 9.0))
61.0ms	(/ (+ (* x (* y 9.0)) b) z)
253.0ms	(/ (- (/ (+ (* x (* y 9.0)) b) z) (* (* 4.0 a) t)) c)

series446.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (* x (* y 9.0)) b)
36.0ms	(* x (* y 9.0))
113.0ms	(/ (+ (* x (* y 9.0)) b) z)
238.0ms	(/ (- (/ (+ (* x (* y 9.0)) b) z) (* (* 4.0 a) t)) c)

simplify859.0ms

Counts

100 → 100

Iterations

Iter	Nodes
done	5000
2	1835
1	432
0	177

prune795.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.8b

localize36.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (* (* 4.0 a) t) c)
4.9b	(/ b (* z c))
5.9b	(/ (* z c) x)
7.0b	(/ (* 9.0 y) (/ (* z c) x))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-cbrt-cube` `add-exp-log`
22×	`times-frac`
17×	`cbrt-undiv` `div-exp`
14×	`add-sqr-sqrt` `associate-/r` `-un-lft-identity` `add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
6×	`div-inv` `associate-/l*`
4×	`pow1` `clear-num` `frac-2neg` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 103

Calls

4 calls:

15.0ms	(/ (* (* 4.0 a) t) c)
6.0ms	(/ b (* z c))
21.0ms	(/ (* z c) x)
12.0ms	(/ (* 9.0 y) (/ (* z c) x))

series188.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (* (* 4.0 a) t) c)
38.0ms	(/ b (* z c))
34.0ms	(/ (* z c) x)
65.0ms	(/ (* 9.0 y) (/ (* z c) x))

simplify1.6s

Counts

115 → 115

Iterations

Iter	Nodes
done	5000
2	3796
1	567
0	202

prune990.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

4.3b	(/ (* (* 4.0 a) t) c)
4.6b	(* (/ y (* c z)) x)
4.9b	(/ b (* z c))
6.1b	(/ y (* c z))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

15.0ms	(/ (* (* 4.0 a) t) c)
36.0ms	(* (/ y (* c z)) x)
11.0ms	(/ b (* z c))
11.0ms	(/ y (* c z))

series144.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (* (* 4.0 a) t) c)
35.0ms	(* (/ y (* c z)) x)
29.0ms	(/ b (* z c))
36.0ms	(/ y (* c z))

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2975
1	461
0	179

prune694.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes2.0s

Accuracy

20.7% (9.0b remaining)

Error of 9.1b against oracle of 0.1b and baseline of 11.5b

bsearch498.0ms

Steps

Iters	Range		Point
4	7.402143164576525e+84	1.4525457372641167e+85	9.14069261998511e+84
7	4.705283001367584e+44	3.4032918240060695e+46	3.128028375703178e+46
7	5.003098711698454e-41	3.828250452816874e-39	6.006078099253248e-41
7	-5141.611441376281	-22.8286883066892	-2677.341884202244

simplify7.0ms

Iterations

Iter	Nodes
done	75
1	75
0	59

end0.0ms

sample3.2s

Algorithm

intervals

Results

2.0s

12798×

body

valid