Details

sample111.0ms

Algorithm

intervals

Results

55.0ms	113×	body	1280	valid
21.0ms	75×	body	640	valid
10.0ms	270×	body	80	nan
8.0ms	40×	body	320	valid
2.0ms	23×	body	160	valid
0.0ms	5×	body	80	valid

simplify127.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	149
8	149
7	145
6	122
5	96
4	65
3	40
2	25
1	18
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.4b

localize19.0ms

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)))

rewrite63.0ms

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×	`expm1-log1p-u` `flip3--` `div-exp` `rem-log-exp` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3-+` `log-pow` `flip-+`

Counts

2 → 86

Calls

2 calls:

36.0ms	(/ (+ 1.0 x) (- 1.0 x))
21.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

series217.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (+ 1.0 x) (- 1.0 x))
172.0ms	(log (/ (+ 1.0 x) (- 1.0 x)))

simplify1.3s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	1377
1	347
0	146

prune410.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`*-un-lft-identity` `fma-neg` `prod-diff` `add-cube-cbrt` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `associate--l+` `add-exp-log` `fma-udef` `log1p-expm1-u` `flip--` `difference-of-squares`

Counts

1 → 22

Calls

1 calls:

5.0ms

(- (fma x x x) (* (/ x 1.0) (/ x 1.0)))

series150.0ms

Counts

1 → 3

Calls

1 calls:

150.0ms

(- (fma x x x) (* (/ x 1.0) (/ x 1.0)))

simplify2.4s

Counts

25 → 25

Iterations

Iter	Nodes
done	5001
3	2314
2	329
1	102
0	42

prune133.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

9.0ms	(* (cbrt (fma x x x)) (cbrt (fma x x x)))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))

series269.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* (cbrt (fma x x x)) (cbrt (fma x x x)))
57.0ms	(cbrt (fma x x x))
65.0ms	(cbrt (fma x x x))
61.0ms	(cbrt (fma x x x))

simplify4.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
3	4645
2	855
1	245
0	100

prune757.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize42.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma x x x))
0.6b	(cbrt (fma x x x))
0.6b	(cbrt (fma x x x))
17.4b	(log (exp (cbrt (fma x x x))))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`log-pow`
6×	`exp-prod`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `pow1/3`
1×	`rem-log-exp`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
1.0ms	(cbrt (fma x x x))
4.0ms	(log (exp (cbrt (fma x x x))))

series225.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (fma x x x))
56.0ms	(cbrt (fma x x x))
67.0ms	(cbrt (fma x x x))
50.0ms	(log (exp (cbrt (fma x x x))))

simplify1.4s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
4	2115
3	765
2	291
1	140
0	74

prune551.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

regimes42.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample5.8s

Algorithm

intervals

Results

3.0s	3399×	body	1280	valid
1.1s	2511×	body	640	valid
941.0ms	7944×	body	80	nan
361.0ms	1259×	body	320	valid
98.0ms	632×	body	160	valid
14.0ms	199×	body	80	valid