Details

sample70.0ms

Algorithm

intervals

Results

31.0ms	105×	body	1280	valid
8.0ms	40×	body	640	valid
7.0ms	174×	body	80	valid
2.0ms	16×	body	320	valid
1.0ms	11×	body	160	valid

simplify153.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(exp (* a x))
3.3b	(- (exp (* a x)) 1.0)

rewrite18.0ms

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

series66.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(exp (* a x))
43.0ms	(- (exp (* a x)) 1.0)

simplify117.0ms

Counts: 30 → 30

prune78.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp (* a x))) (sqrt (exp (* a x))))
0.1b	(exp (* a x))
0.1b	(exp (* a x))
3.3b	(- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) 1.0)

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

32×	`sqrt-pow1`
25×	`add-sqr-sqrt`
22×	`add-log-exp`
19×	`pow1`
18×	`sqrt-prod`
14×	`exp-prod` `exp-to-pow`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`pow-prod-up`
8×	`pow1/2` `swap-sqr`
7×	`pow-prod-down` `pow-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
4×	`unswap-sqr`
2×	`rem-exp-log`
1×	`pow2` `sub-neg` `flip3--` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `flip--` `cbrt-unprod` `difference-of-squares`

Counts

4 → 94

Calls

4 calls:

48.0ms	(* (sqrt (exp (* a x))) (sqrt (exp (* a x))))
7.0ms	(exp (* a x))
8.0ms	(exp (* a x))
30.0ms	(- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) 1.0)

series111.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (sqrt (exp (* a x))) (sqrt (exp (* a x))))
27.0ms	(exp (* a x))
14.0ms	(exp (* a x))
52.0ms	(- (* (sqrt (exp (* a x))) (sqrt (exp (* a x)))) 1.0)

simplify79.0ms

Counts: 106 → 106

prune292.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 9.6b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b	(exp (* a x))
0.1b	(exp (* a x))
0.1b	(exp (* a x))
3.3b	(- (* (sqrt (exp (* a x))) (sqrt (* (pow (sqrt (cbrt (exp (* a x)))) 4) (cbrt (exp (* a x)))))) 1.0)

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`exp-prod` `exp-to-pow` `rem-exp-log`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

4 → 42

Calls

4 calls:

4.0ms	(exp (* a x))
8.0ms	(exp (* a x))
8.0ms	(exp (* a x))
98.0ms	(- (* (sqrt (exp (* a x))) (sqrt (* (pow (sqrt (cbrt (exp (* a x)))) 4) (cbrt (exp (* a x)))))) 1.0)

series91.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(exp (* a x))
14.0ms	(exp (* a x))
14.0ms	(exp (* a x))
48.0ms	(- (* (sqrt (exp (* a x))) (sqrt (* (pow (sqrt (cbrt (exp (* a x)))) 4) (cbrt (exp (* a x)))))) 1.0)

simplify171.0ms

Counts: 54 → 54

prune307.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 9.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (cbrt (sqrt (exp (* a x)))) 5)
0.1b	(exp (* a x))
0.1b	(exp (* a x))
3.3b	(- (* (pow (cbrt (sqrt (exp (* a x)))) 5) (cbrt (sqrt (exp (* a x))))) 1.0)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`unpow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube`
3×	`pow-unpow` `sqrt-prod`
2×	`exp-prod` `exp-to-pow` `pow-pow` `rem-exp-log`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow1/3` `diff-log` `pow-exp` `flip--` `sqr-pow`

Counts

4 → 56

Calls

4 calls:

15.0ms	(pow (cbrt (sqrt (exp (* a x)))) 5)
8.0ms	(exp (* a x))
8.0ms	(exp (* a x))
55.0ms	(- (* (pow (cbrt (sqrt (exp (* a x)))) 5) (cbrt (sqrt (exp (* a x))))) 1.0)

series177.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow (cbrt (sqrt (exp (* a x)))) 5)
19.0ms	(exp (* a x))
14.0ms	(exp (* a x))
63.0ms	(- (* (pow (cbrt (sqrt (exp (* a x)))) 5) (cbrt (sqrt (exp (* a x))))) 1.0)

simplify133.0ms

Counts: 68 → 68

prune259.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 9.6b

regimes364.0ms

Accuracy

94.1% (1.2b remaining)

Error of 9.2b against oracle of 8.0b and baseline of 28.9b

bsearch2.0ms

simplify102.0ms

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	2625×	body	1280	valid
244.0ms	5469×	body	80	valid
222.0ms	1318×	body	640	valid
124.0ms	741×	body	320	valid
60.0ms	404×	body	160	valid