Details

sample153.0ms

Algorithm

intervals

Results

57.0ms	107×	body	1280	valid
43.0ms	282×	body	80	valid
26.0ms	79×	body	640	valid
8.0ms	36×	body	320	valid
2.0ms	19×	body	160	valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	14	8
2	24	8
3	30	8
4	34	8
done	34	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize16.0ms

Local error

Found 1 expressions with local error:

6.3b	(- (exp x) (exp (- x)))

rewrite30.0ms

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:

30.0ms

(- (exp x) (exp (- x)))

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(- (exp x) (exp (- x)))

simplify2.2s

Counts

17 → 17

Iterations

Useful iterations: 3 (164.0ms)

Iter	Nodes	Cost
0	46	185
1	100	176
2	231	158
3	532	157
4	1593	157
done	5000	157

prune75.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(+ (* 1/60 (pow x 5)) (* 2 x))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sum-log` `sqr-pow`
2×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult` `associate-+r+` `unpow3`

Counts

4 → 80

Calls

4 calls:

23.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
10.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
30.0ms	(* 1/60 (pow x 5))
28.0ms	(* 1/3 (pow x 3))

series443.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
245.0ms	(+ (* 1/60 (pow x 5)) (* 2 x))
63.0ms	(* 1/60 (pow x 5))
57.0ms	(* 1/3 (pow x 3))

simplify999.0ms

Counts

92 → 92

Iterations

Useful iterations: done (995.0ms)

Iter	Nodes	Cost
0	137	1055
1	359	917
2	1157	873
done	5001	872

prune293.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.1b	(* 1/60 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

10.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
24.0ms	(* 1/60 (pow x 5))
26.0ms	(* 1/3 (pow x 3))

series309.0ms

Counts

3 → 9

Calls

3 calls:

192.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
73.0ms	(* 1/60 (pow x 5))
45.0ms	(* 1/3 (pow x 3))

simplify3.3s

Counts

76 → 76

Iterations

Useful iterations: 3 (931.0ms)

Iter	Nodes	Cost
0	113	734
1	273	633
2	771	597
3	3519	596
done	5001	596

prune268.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
6.5b	(- (exp (+ x x)) (exp (* x -2)))

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
24×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`exp-sum` `associate-/l*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/r*`
3×	`pow1`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 78

Calls

3 calls:

13.0ms	(+ (exp x) (exp (- x)))
215.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
67.0ms	(- (exp (+ x x)) (exp (* x -2)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (exp x) (exp (- x)))
98.0ms	(/ (- (exp (+ x x)) (exp (* x -2))) (+ (exp x) (exp (- x))))
56.0ms	(- (exp (+ x x)) (exp (* x -2)))

simplify2.6s

Counts

87 → 87

Iterations

Useful iterations: 3 (1.3s)

Iter	Nodes	Cost
0	149	1819
1	359	1763
2	913	1613
3	2809	1576
done	5000	1576

prune300.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

Details

sample153.0ms

simplify37.0ms

prune4.0ms

localize16.0ms

rewrite30.0ms

series83.0ms

simplify2.2s

prune75.0ms

localize27.0ms

rewrite95.0ms

series443.0ms

simplify999.0ms

prune293.0ms

localize25.0ms

rewrite62.0ms

series309.0ms

simplify3.3s

prune268.0ms

localize37.0ms

rewrite297.0ms

series200.0ms

simplify2.6s

prune300.0ms

regimes30.0ms

bsearch1.0ms