Details

sample153.0ms

Algorithm

intervals

Results

77.0ms	113×	body	1280	valid
32.0ms	75×	body	640	valid
13.0ms	270×	body	80	nan
9.0ms	40×	body	320	valid
3.0ms	23×	body	160	valid
1.0ms	5×	body	80	valid

simplify125.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	123
8	123
7	121
6	106
5	88
4	61
3	40
2	25
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
7.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/r*`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l*`
3×	`pow1`
2×	`flip3--` `div-exp` `rem-log-exp` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 82

Calls

2 calls:

45.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series231.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (+ 1.0 x) (- 1.0 x))
175.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1320
1	330
0	142

prune300.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (* x x)) (/ (* x x) (* 1.0 1.0)))
0.0b	(+ x (* x x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
5×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `sum-log` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `add-cube-cbrt` `flip-+` `difference-of-squares`
1×	`+-commutative` `sub-neg` `times-frac` `distribute-rgt-out` `flip3--` `distribute-rgt1-in` `associate--l+` `flip--` `distribute-lft-out--`

Counts

2 → 32

Calls

2 calls:

29.0ms	(- (+ x (* x x)) (/ (* x x) (* 1.0 1.0)))
4.0ms	(+ x (* x x))

series53.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(- (+ x (* x x)) (/ (* x x) (* 1.0 1.0)))
42.0ms	(+ x (* x x))

simplify796.0ms

Counts

38 → 38

Iterations

Iter	Nodes
done	5001
2	1220
1	214
0	68

prune161.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize52.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ x (* x x))) (cbrt (+ x (* x x))))
0.6b	(cbrt (+ x (* x x)))
0.6b	(cbrt (+ x (* x x)))
0.6b	(cbrt (+ x (* x x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`swap-sqr` `associate-r` `associate-l`
7×	`distribute-rgt-out` `distribute-rgt1-in`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

47.0ms	(* (cbrt (+ x (* x x))) (cbrt (+ x (* x x))))
4.0ms	(cbrt (+ x (* x x)))
4.0ms	(cbrt (+ x (* x x)))
4.0ms	(cbrt (+ x (* x x)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (cbrt (+ x (* x x))) (cbrt (+ x (* x x))))
37.0ms	(cbrt (+ x (* x x)))
62.0ms	(cbrt (+ x (* x x)))
56.0ms	(cbrt (+ x (* x x)))

simplify960.0ms

Counts

111 → 111

Iterations

Iter	Nodes
done	5000
2	1342
1	323
0	135

prune576.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize46.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x (* x x)))
0.6b	(cbrt (+ x (* x x)))
0.6b	(cbrt (+ x (* x x)))
17.4b	(log (exp (cbrt (+ x (* x x)))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
14×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`log-pow`
8×	`exp-prod`
6×	`cbrt-div`
5×	`pow1`
4×	`distribute-rgt-out` `add-cbrt-cube` `distribute-rgt1-in` `add-exp-log` `add-log-exp`
3×	`log-prod` `flip3-+` `pow1/3` `flip-+`
1×	`rem-log-exp`

Counts

4 → 65

Calls

4 calls:

2.0ms	(cbrt (+ x (* x x)))
2.0ms	(cbrt (+ x (* x x)))
2.0ms	(cbrt (+ x (* x x)))
10.0ms	(log (exp (cbrt (+ x (* x x)))))

series172.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (+ x (* x x)))
51.0ms	(cbrt (+ x (* x x)))
43.0ms	(cbrt (+ x (* x x)))
41.0ms	(log (exp (cbrt (+ x (* x x)))))

simplify1.5s

Counts

77 → 77

Iterations

Iter	Nodes
done	5001
3	2192
2	486
1	181
0	94

prune511.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes33.0ms

Accuracy

0% (0.4b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	17
1	17
0	13

end0.0ms

sample5.5s

Algorithm

intervals

Results

3.2s	3399×	body	1280	valid
1.1s	2511×	body	640	valid
480.0ms	7944×	body	80	nan
295.0ms	1259×	body	320	valid
92.0ms	632×	body	160	valid
13.0ms	199×	body	80	valid