Details

sample43.0ms

Algorithm

intervals

Results

22.0ms

261×

body

valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	17
1	26	17
2	38	17
3	46	17
4	48	17
done	48	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.8b

localize43.0ms

Local error

Found 3 expressions with local error:

6.5b	(/ (* y b) t)
7.3b	(/ (* y z) t)
11.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`times-frac`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow1` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 89

Calls

3 calls:

10.0ms	(/ (* y b) t)
11.0ms	(/ (* y z) t)
119.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series206.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (* y b) t)
21.0ms	(/ (* y z) t)
150.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify973.0ms

Counts

98 → 98

Iterations

Useful iterations: done (968.0ms)

Iter	Nodes	Cost
0	171	1630
1	431	1565
2	1537	1447
done	5000	1443

prune410.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.2b

localize20.0ms

Local error

Found 3 expressions with local error:

4.3b	(* y (/ b t))
7.3b	(/ (* y z) t)
11.6b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

rewrite130.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
27×	`add-sqr-sqrt`
25×	`times-frac`
22×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
6×	`associate-/r*`
5×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `distribute-lft-out`
3×	`flip3-+` `associate-r/` `associate-l*` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 90

Calls

3 calls:

23.0ms	(* y (/ b t))
20.0ms	(/ (* y z) t)
82.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

series211.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* y (/ b t))
34.0ms	(/ (* y z) t)
143.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (* y (/ b t))))

simplify1.0s

Counts

99 → 99

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	196	1493
1	489	1438
2	1634	1320
done	5000	1316

prune515.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.3b

localize29.0ms

Local error

Found 3 expressions with local error:

4.3b	(* y (/ b t))
6.2b	(/ y (/ t z))
11.6b	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
70×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
16×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
7×	`div-inv` `associate-/l*`
5×	`pow1` `cbrt-undiv` `div-exp` `associate-/r/`
4×	`distribute-lft-out`
3×	`flip3-+` `associate-r/` `associate-l*` `flip-+` `add-log-exp`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative`

Counts

3 → 139

Calls

3 calls:

14.0ms	(* y (/ b t))
14.0ms	(/ y (/ t z))
151.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

series409.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* y (/ b t))
29.0ms	(/ y (/ t z))
345.0ms	(/ (+ x (/ y (/ t z))) (+ (+ a 1.0) (* y (/ b t))))

simplify1.3s

Counts

148 → 148

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	290	2181
1	676	2068
2	2167	1940
done	5001	1934

prune698.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 10.2b

localize24.0ms

Local error

Found 3 expressions with local error:

4.3b	(* y (/ b t))
5.9b	(* (/ y t) z)
11.6b	(/ (+ x (* (/ y t) z)) (+ (+ a 1.0) (* y (/ b t))))

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
29×	`times-frac`
27×	`add-cube-cbrt` `*-un-lft-identity`
16×	`associate-r` `associate-l`
15×	`add-exp-log` `add-cbrt-cube`
7×	`pow1`
4×	`prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
3×	`cbrt-undiv` `flip3-+` `associate-r/` `div-exp` `associate-/r` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
2×	`pow-prod-down` `frac-add` `*-commutative` `associate-/l/`
1×	`frac-2neg` `associate-*l/` `clear-num`

Counts

3 → 97

Calls

3 calls:

15.0ms	(* y (/ b t))
19.0ms	(* (/ y t) z)
88.0ms	(/ (+ x (* (/ y t) z)) (+ (+ a 1.0) (* y (/ b t))))

series438.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* y (/ b t))
31.0ms	(* (/ y t) z)
370.0ms	(/ (+ x (* (/ y t) z)) (+ (+ a 1.0) (* y (/ b t))))

simplify1.2s

Counts

106 → 106

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	210	1454
1	519	1405
2	1653	1291
done	5000	1281

prune308.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.2b

regimes383.0ms

Accuracy

50% (2.9b remaining)

Error of 13.4b against oracle of 10.6b and baseline of 16.3b

bsearch93.0ms

Steps

Iters	Range		Point
8	4.356670346919433e+91	2.379330129613037e+95	4.435895604434966e+91
3	-7.195184683822542e-28	-6.0695810582136045e-28	-7.124834457221984e-28

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	31	65
1	44	47
done	44	47

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

8273×

body

valid