Details

sample44.0ms

Algorithm

intervals

Results

20.0ms

755×

body

valid

simplify5.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	18	8
2	41	8
3	102	8
4	224	8
5	377	8
6	592	8
7	1228	8
8	3476	8
done	5000	8

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
5.1b	(/ (* (cosh x) (/ y x)) z)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/`
2×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 64

Calls

2 calls:

14.0ms	(* (cosh x) (/ y x))
13.0ms	(/ (* (cosh x) (/ y x)) z)

series204.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(* (cosh x) (/ y x))
119.0ms	(/ (* (cosh x) (/ y x)) z)

simplify1.1s

Counts

70 → 70

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	141	739
1	338	701
2	1303	600
done	5000	600

prune159.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ (exp x) (exp (- x))) (/ y x))
0.0b	(+ (exp x) (exp (- x)))
5.1b	(/ (/ (* (+ (exp x) (exp (- x))) (/ y x)) 2) z)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

43×	`times-frac`
33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
28×	`add-cube-cbrt`
22×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
9×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`pow1` `add-log-exp`
4×	`associate-l` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-/r*` `flip-+` `log1p-expm1-u`
2×	`frac-times` `associate-*l/` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `associate-/l/`

Counts

3 → 108

Calls

3 calls:

53.0ms	(* (+ (exp x) (exp (- x))) (/ y x))
12.0ms	(+ (exp x) (exp (- x)))
27.0ms	(/ (/ (* (+ (exp x) (exp (- x))) (/ y x)) 2) z)

series190.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(* (+ (exp x) (exp (- x))) (/ y x))
29.0ms	(+ (exp x) (exp (- x)))
102.0ms	(/ (/ (* (+ (exp x) (exp (- x))) (/ y x)) 2) z)

simplify1.3s

Counts

117 → 117

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	234	1956
1	594	1860
2	2197	1651
done	5000	1646

prune334.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ (exp x) (exp (- x))) (/ y x))
0.0b	(+ (exp x) (exp (- x)))
5.2b	(* (/ (* (+ (exp x) (exp (- x))) (/ y x)) 2) (/ 1 z))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-exp-log`
40×	`add-cbrt-cube`
33×	`add-sqr-sqrt`
26×	`-un-lft-identity` `associate-r*` `prod-exp`
25×	`div-exp`
24×	`times-frac`
21×	`add-cube-cbrt`
14×	`cbrt-unprod`
13×	`cbrt-undiv`
11×	`associate-l`
7×	`pow1`
5×	`add-log-exp` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `frac-times` `fma-def` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u` `div-inv`
2×	`associate-r/` `pow-prod-down` `-commutative` `distribute-lft-out`
1×	`+-commutative` `sum-log` `un-div-inv`

Counts

3 → 118

Calls

3 calls:

51.0ms	(* (+ (exp x) (exp (- x))) (/ y x))
12.0ms	(+ (exp x) (exp (- x)))
75.0ms	(* (/ (* (+ (exp x) (exp (- x))) (/ y x)) 2) (/ 1 z))

series188.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* (+ (exp x) (exp (- x))) (/ y x))
24.0ms	(+ (exp x) (exp (- x)))
100.0ms	(* (/ (* (+ (exp x) (exp (- x))) (/ y x)) 2) (/ 1 z))

simplify1.3s

Counts

127 → 127

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	243	2241
1	656	2014
2	2409	1648
done	5000	1644

prune308.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (cosh x) (/ (/ y x) z))
5.1b	(/ (/ y x) z)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
89×	`add-sqr-sqrt`
80×	`add-cube-cbrt` `*-un-lft-identity`
43×	`associate-r`
16×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
9×	`div-inv`
6×	`cbrt-undiv` `div-exp`
4×	`pow1`
3×	`associate-l` `prod-exp` `associate-/r*` `cbrt-unprod` `unswap-sqr`
2×	`expm1-log1p-u` `cosh-def` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `associate-/l/`

Counts

2 → 141

Calls

2 calls:

33.0ms	(* (cosh x) (/ (/ y x) z))
11.0ms	(/ (/ y x) z)

series148.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(* (cosh x) (/ (/ y x) z))
23.0ms	(/ (/ y x) z)

simplify1.2s

Counts

147 → 147

Iterations

Useful iterations: 2 (322.0ms)

Iter	Nodes	Cost
0	248	1781
1	588	1662
2	2050	1554
done	5001	1554

prune355.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes151.0ms

Accuracy

93.6% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 8.3b

bsearch80.0ms

Steps

Iters	Range		Point
8	9.866767616182859e-17	3.793880355858457e-14	3.366351636300589e-14
6	-1.67874309321221e-74	-2.0221048783164653e-75	-1.6151316048368026e-74

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	46
1	37	46
done	37	46

end0.0ms

sample1.2s

Algorithm

intervals

Results

577.0ms

22296×

body

valid