Details

sample53.0ms

Algorithm

intervals

Results

20.0ms	106×	body	1280	valid
9.0ms	75×	body	640	valid
4.0ms	401×	pre	80	true
3.0ms	51×	body	320	valid
2.0ms	151×	body	80	valid
1.0ms	18×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize8.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (exp x) 1.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `*-un-lft-identity`
9×	`prod-diff`
8×	`add-cube-cbrt`
3×	`fma-neg` `add-log-exp`
1×	`expm1-log1p-u` `pow1` `sub-neg` `flip3--` `add-cbrt-cube` `diff-log` `add-exp-log` `log1p-expm1-u` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 28

Calls

1 calls:

16.0ms

(- (exp x) 1.0)

series21.0ms

Counts

1 → 3

Calls

1 calls:

21.0ms

(- (exp x) 1.0)

simplify1.7s

Counts

31 → 31

Iterations

Iter	Nodes
done	5000
3	2110
2	428
1	149
0	66

prune117.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune11.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0)) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
0.0b	(* (exp x) (exp x))
5.3b	(- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`add-cube-cbrt`
18×	`exp-prod`
11×	`pow1`
9×	`times-frac`
8×	`add-cbrt-cube` `add-log-exp`
6×	`add-exp-log`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`associate-/r` `fma-def` `fma-neg` `swap-sqr` `associate-r` `associate-l` `prod-diff` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `diff-log` `div-sub` `div-exp` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

10.0ms	(+ 1.0 (exp x))
33.0ms	(/ (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0)) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
26.0ms	(* (exp x) (exp x))
19.0ms	(- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))

series162.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+ 1.0 (exp x))
113.0ms	(/ (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0)) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
14.0ms	(* (exp x) (exp x))
20.0ms	(- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))

simplify2.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	5001
2	2577
1	470
0	180

prune623.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (log (exp (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0)))) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
0.0b	(* (exp x) (exp x))
5.3b	(log (exp (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))))
5.3b	(- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
35×	`*-un-lft-identity` `add-cube-cbrt`
33×	`exp-prod`
21×	`times-frac`
20×	`log-pow`
16×	`pow1`
8×	`log-prod` `add-cbrt-cube`
7×	`associate-/l*`
6×	`prod-diff` `add-exp-log` `add-log-exp`
5×	`exp-sum`
4×	`expm1-log1p-u` `pow-prod-down` `pow-sqr` `pow-prod-up` `log1p-expm1-u`
3×	`associate-/r` `fma-neg` `swap-sqr` `associate-r` `associate-l*`
2×	`log-div` `sub-neg` `exp-diff`
1×	`pow2` `cbrt-undiv` `clear-num` `frac-2neg` `pow-plus` `flip3--` `diff-log` `div-sub` `div-exp` `rem-log-exp` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Counts

4 → 125

Calls

4 calls:

83.0ms	(/ (log (exp (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0)))) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
27.0ms	(* (exp x) (exp x))
32.0ms	(log (exp (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))))
10.0ms	(- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))

series205.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(/ (log (exp (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0)))) (fma 1.0 (+ 1.0 (exp x)) (* (exp x) (exp x))))
24.0ms	(* (exp x) (exp x))
22.0ms	(log (exp (- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))))
30.0ms	(- (exp (* 3 x)) (* (* 1.0 1.0) 1.0))

simplify2.1s

Counts

137 → 137

Iterations

Iter	Nodes
done	5001
2	2120
1	443
0	208

prune749.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes153.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	6
0	6

end0.0ms

sample2.4s

Algorithm

intervals

Results

871.0ms	3428×	body	1280	valid
616.0ms	11984×	pre	80	true
370.0ms	2545×	body	640	valid
117.0ms	4188×	body	80	valid
112.0ms	1238×	body	320	valid
33.0ms	585×	body	160	valid