Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	80×	body	1280	valid
3.0ms	36×	body	640	valid
3.0ms	158×	body	80	valid
2.0ms	31×	body	320	valid
1.0ms	12×	body	160	valid

simplify60.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3
done	5001	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
4.7b	(- (exp (* a x)) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
4×	`add-sqr-sqrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
1×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `flip--` `rem-exp-log` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 24

Calls

2 calls:

4.0ms	(exp (* a x))
12.0ms	(- (exp (* a x)) 1.0)

series52.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(exp (* a x))
39.0ms	(- (exp (* a x)) 1.0)

simplify43.0ms

Counts

30 → 30

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125
done	5001	125

prune73.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 7.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.0b	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.0b	(pow (exp (* a x)) 3)
4.7b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

161×	`add-sqr-sqrt`
91×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
39×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
9×	`add-cbrt-cube`
7×	`pow1` `add-exp-log` `add-log-exp`
5×	`difference-cubes`
4×	`associate-r`
3×	`pow-unpow` `pow-pow` `associate-l` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-*r/` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `exp-prod` `exp-to-pow` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 202

Calls

4 calls:

40.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
103.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
7.0ms	(pow (exp (* a x)) 3)
38.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series243.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
127.0ms	(/ (- (pow (exp (* a x)) 3) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
26.0ms	(pow (exp (* a x)) 3)
55.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify118.0ms

Counts

214 → 214

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	677	3771
1	3048	3688
2	5002	3611
done	5002	3611

prune650.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.0b	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
0.3b	(* (* a x) 3)
4.7b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
33×	`times-frac`
23×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`difference-cubes`
13×	`add-cbrt-cube`
12×	`add-exp-log`
11×	`pow1` `associate-/l*` `add-log-exp`
7×	`associate-r`
5×	`unpow-prod-down` `exp-lft-cube` `exp-prod` `exp-to-pow` `cube-prod` `distribute-lft-out--` `sqr-pow`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`associate-/r*`
2×	`flip3--` `flip3-+` `associate-r/` `associate-/r/` `-commutative` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

41.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
66.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
17.0ms	(* (* a x) 3)
19.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series214.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
111.0ms	(/ (- (exp (* (* a x) 3)) (pow 1.0 3)) (+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0)))
22.0ms	(* (* a x) 3)
44.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify87.0ms

Counts

137 → 137

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	599	2104
1	2643	2000
2	5002	1995
done	5002	1995

prune348.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 7.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* a x) 3)
0.3b	(* (* a x) 3)
0.3b	(* (* a x) 3)
4.7b	(- (* (exp (* (* a x) 3)) (exp (* (* a x) 3))) (* (pow 1.0 3) (pow 1.0 3)))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow-prod-down`
19×	`pow1` `add-exp-log` `add-cbrt-cube`
12×	`add-log-exp`
9×	`difference-cubes` `associate-r` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`exp-lft-cube` `exp-prod` `exp-to-pow`
3×	`associate-l` `*-commutative`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

17.0ms	(* (* a x) 3)
19.0ms	(* (* a x) 3)
17.0ms	(* (* a x) 3)
23.0ms	(- (* (exp (* (* a x) 3)) (exp (* (* a x) 3))) (* (pow 1.0 3) (pow 1.0 3)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (* a x) 3)
19.0ms	(* (* a x) 3)
19.0ms	(* (* a x) 3)
60.0ms	(- (* (exp (* (* a x) 3)) (exp (* (* a x) 3))) (* (pow 1.0 3) (pow 1.0 3)))

simplify48.0ms

Counts

88 → 88

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	273	668
1	1264	555
2	5001	490
done	5001	490

prune220.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 7.1b

regimes206.0ms

Accuracy

93.2% (1.4b remaining)

Error of 9.7b against oracle of 8.3b and baseline of 28.8b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	39
1	50	39
done	50	39

end0.0ms

sample980.0ms

Algorithm

intervals

Results

410.0ms	2631×	body	1280	valid
130.0ms	1269×	body	640	valid
109.0ms	5623×	body	80	valid
52.0ms	771×	body	320	valid
17.0ms	390×	body	160	valid