Details

sample82.0ms

Algorithm

intervals

Results

36.0ms	124×	body	1280	valid
13.0ms	72×	body	640	valid
6.0ms	382×	pre	80	true
5.0ms	40×	body	320	valid
3.0ms	132×	body	80	valid
1.0ms	14×	body	160	valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	6	4
2	7	4
done	7	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize4.0ms

Local error

Found 1 expressions with local error:

4.1b	(- (exp x) 1.0)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

10.0ms

(- (exp x) 1.0)

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(- (exp x) 1.0)

simplify2.2s

Counts

17 → 17

Iterations

Useful iterations: 3 (141.0ms)

Iter	Nodes	Cost
0	39	132
1	83	127
2	224	119
3	690	117
4	2920	117
done	5000	117

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ 1/2 (* x 1/6))) x)
0.0b	(+ 1/2 (* x 1/6))
0.0b	(* (pow x 2) (+ 1/2 (* x 1/6)))
0.3b	(* x 1/6)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`add-exp-log` `associate-l`
9×	`add-cube-cbrt` `*-un-lft-identity`
8×	`add-cbrt-cube` `add-log-exp`
6×	`pow1` `associate-r`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `sum-log` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-prod-down` `pow-exp`

Counts

4 → 73

Calls

4 calls:

19.0ms	(+ (* (pow x 2) (+ 1/2 (* x 1/6))) x)
9.0ms	(+ 1/2 (* x 1/6))
24.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
15.0ms	(* x 1/6)

series193.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (* (pow x 2) (+ 1/2 (* x 1/6))) x)
47.0ms	(+ 1/2 (* x 1/6))
85.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
21.0ms	(* x 1/6)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: 2 (433.0ms)

Iter	Nodes	Cost
0	121	940
1	355	862
2	1829	775
done	5001	775

prune257.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 2) (+ 1/2 (* x 1/6)))
0.0b	(pow (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x) 3)
0.3b	(* x 1/6)
41.7b	(cbrt (pow (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x) 3))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `cbrt-prod`
11×	`associate-l`
10×	`unpow-prod-down`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`cube-prod` `associate-r`
5×	`unswap-sqr`
4×	`cube-div` `prod-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `unpow3` `associate-r/` `pow-exp` `-commutative` `cbrt-unprod` `unpow2`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `pow1/3` `pow-prod-down` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 97

Calls

4 calls:

40.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
19.0ms	(pow (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x) 3)
7.0ms	(* x 1/6)
19.0ms	(cbrt (pow (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x) 3))

series196.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(* (pow x 2) (+ 1/2 (* x 1/6)))
51.0ms	(pow (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x) 3)
24.0ms	(* x 1/6)
30.0ms	(cbrt (pow (+ (* (pow x 2) (+ 1/2 (* x 1/6))) x) 3))

simplify2.7s

Counts

109 → 109

Iterations

Useful iterations: 2 (740.0ms)

Iter	Nodes	Cost
0	176	1806
1	535	1585
2	3165	1394
done	5001	1394

prune344.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) 1.0) 3)
0.5b	(cbrt (pow (- (exp x) 1.0) 3))
4.1b	(- (exp x) 1.0)

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

28.0ms	(pow (- (exp x) 1.0) 3)
27.0ms	(cbrt (pow (- (exp x) 1.0) 3))
15.0ms	(- (exp x) 1.0)

series97.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(pow (- (exp x) 1.0) 3)
16.0ms	(cbrt (pow (- (exp x) 1.0) 3))
23.0ms	(- (exp x) 1.0)

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: 2 (314.0ms)

Iter	Nodes	Cost
0	99	883
1	285	693
2	1546	644
done	5000	644

prune198.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

928.0ms	3374×	body	1280	valid
719.0ms	2583×	body	640	valid
194.0ms	11914×	pre	80	true
157.0ms	1254×	body	320	valid
128.0ms	4088×	body	80	valid
37.0ms	615×	body	160	valid