Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
1	15	12
2	22	12
done	22	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.5b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 59

Calls

3 calls:

16.0ms	(* 1.1283791670955126 (exp z))
17.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
36.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* 1.1283791670955126 (exp z))
61.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
105.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify2.9s

Counts

68 → 68

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	119	886
1	281	858
2	966	792
3	4968	786
done	5000	786

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.1b	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.5b	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

84×	`times-frac`
58×	`add-sqr-sqrt`
56×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-exp-log`
16×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `flip3--` `frac-2neg` `1-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `pow-flip` `diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 136

Calls

4 calls:

17.0ms	(* 1.1283791670955126 (exp z))
30.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
18.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
28.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

series275.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* 1.1283791670955126 (exp z))
77.0ms	(/ 1 (/ (- (* 1.1283791670955126 (exp z)) (* x y)) y))
77.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
95.0ms	(/ (- (* 1.1283791670955126 (exp z)) (* x y)) y)

simplify1.8s

Counts

148 → 148

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	223	2616
1	581	2379
2	2697	2249
done	5001	2049

prune432.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (/ 1.1283791670955126 y) (exp z)) x)
0.0b	(* (/ 1.1283791670955126 y) (exp z))
0.1b	(/ (* (cbrt 1) (cbrt 1)) (- (* (/ 1.1283791670955126 y) (exp z)) x))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

23.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
29.0ms	(* (/ 1.1283791670955126 y) (exp z))
57.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* (/ 1.1283791670955126 y) (exp z)) x))

series206.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* (/ 1.1283791670955126 y) (exp z)) x)
37.0ms	(* (/ 1.1283791670955126 y) (exp z))
102.0ms	(/ (* (cbrt 1) (cbrt 1)) (- (* (/ 1.1283791670955126 y) (exp z)) x))

simplify1.3s

Counts

76 → 76

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	152	1030
1	391	895
2	1887	792
done	5001	786

prune215.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.0b	(- (* (exp z) 1.1283791670955126) (* x y))
2.1b	(/ (cbrt y) (- (* (exp z) 1.1283791670955126) (* x y)))
3.5b	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* (exp z) 1.1283791670955126) (* x y))))

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

1.0ms	(cbrt y)
19.0ms	(- (* (exp z) 1.1283791670955126) (* x y))
37.0ms	(/ (cbrt y) (- (* (exp z) 1.1283791670955126) (* x y)))
113.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* (exp z) 1.1283791670955126) (* x y))))

series772.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(cbrt y)
85.0ms	(- (* (exp z) 1.1283791670955126) (* x y))
299.0ms	(/ (cbrt y) (- (* (exp z) 1.1283791670955126) (* x y)))
141.0ms	(* (* (cbrt y) (cbrt y)) (/ (cbrt y) (- (* (exp z) 1.1283791670955126) (* x y))))

simplify3.6s

Counts

123 → 123

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	206	2269
1	606	2206
2	4118	1888
done	5000	1790

prune498.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes169.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	13	16
1	17	14
2	18	12
done	18	12

end0.0ms

sample913.0ms

Algorithm

intervals

Results

553.0ms

8000×

body

valid