Details

sample155.0ms

Algorithm

intervals

Results

75.0ms	108×	body	1280	valid
31.0ms	79×	body	640	valid
13.0ms	250×	body	80	nan
11.0ms	43×	body	320	valid
3.0ms	21×	body	160	valid
0.0ms	5×	body	80	valid

simplify177.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	273
1	18	273
2	25	273
3	40	273
4	61	273
5	88	273
6	106	273
7	121	273
8	123	273
done	123	273

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ 1.0 x) (- 1.0 x))
5.3b	(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite30.0ms

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:

19.0ms	(/ (+ 1.0 x) (- 1.0 x))
8.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series207.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (+ 1.0 x) (- 1.0 x))
162.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.1s

Counts

88 → 88

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	142	30501
1	330	27326
2	1320	26804
done	5000	26645

prune368.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
2×	`*-un-lft-identity`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `distribute-lft1-in` `flip3-+` `distribute-rgt-out` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+`

Counts

1 → 13

Calls

1 calls:

11.0ms

(+ (* x x) x)

series54.0ms

Counts

1 → 3

Calls

1 calls:

54.0ms

(+ (* x x) x)

simplify594.0ms

Counts

16 → 16

Iterations

Useful iterations: done (591.0ms)

Iter	Nodes	Cost
0	28	3033
1	89	2149
2	514	2109
done	5001	2069

prune125.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))
0.7b	(cbrt (+ (* x x) x))
0.7b	(cbrt (+ (* x x) x))
0.7b	(cbrt (+ (* x x) x))

rewrite88.0ms

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-lft1-in` `distribute-rgt-out`
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:

60.0ms	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))
9.0ms	(cbrt (+ (* x x) x))
8.0ms	(cbrt (+ (* x x) x))
4.0ms	(cbrt (+ (* x x) x))

series273.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* (cbrt (+ (* x x) x)) (cbrt (+ (* x x) x)))
62.0ms	(cbrt (+ (* x x) x))
65.0ms	(cbrt (+ (* x x) x))
71.0ms	(cbrt (+ (* x x) x))

simplify1.2s

Counts

111 → 111

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	132	45938
1	320	37071
2	1314	36751
done	5001	35831

prune618.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize54.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ (* x x) x))
0.7b	(cbrt (+ (* x x) x))
0.7b	(cbrt (+ (* x x) x))
16.6b	(log (exp (cbrt (+ (* x x) x))))

rewrite51.0ms

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-lft1-in` `distribute-rgt-out` `add-cbrt-cube` `add-exp-log` `add-log-exp`
3×	`log-prod` `flip3-+` `pow1/3` `flip-+`
1×	`rem-log-exp`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (+ (* x x) x))
8.0ms	(cbrt (+ (* x x) x))
8.0ms	(cbrt (+ (* x x) x))
29.0ms	(log (exp (cbrt (+ (* x x) x))))

series213.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(cbrt (+ (* x x) x))
51.0ms	(cbrt (+ (* x x) x))
66.0ms	(cbrt (+ (* x x) x))
51.0ms	(log (exp (cbrt (+ (* x x) x))))

simplify1.8s

Counts

77 → 77

Iterations

Useful iterations: 3 (620.0ms)

Iter	Nodes	Cost
0	92	34117
1	180	26684
2	474	25112
3	2094	24352
done	5000	24352

prune525.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes53.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	433
1	17	433
done	17	433

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.8s	3461×	body	1280	valid
1.3s	2422×	body	640	valid
382.0ms	1242×	body	320	valid
379.0ms	8142×	body	80	nan
139.0ms	664×	body	160	valid
13.0ms	211×	body	80	valid