Details

sample27.0ms

Algorithm

intervals

Results

13.0ms	289×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify37.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	9	11
1	18	9
2	34	7
3	51	7
4	59	7
done	59	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(* d1 (+ (+ 10.0 d2) 20.0))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity`
7×	`add-log-exp`
6×	`add-sqr-sqrt` `distribute-lft-out`
5×	`associate-r`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-l` `sum-log`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `associate-+l+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

56.0ms	(+ (+ 10.0 d2) 20.0)
90.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

series73.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(+ (+ 10.0 d2) 20.0)
48.0ms	(* d1 (+ (+ 10.0 d2) 20.0))

simplify2.5s

Counts

45 → 45

Iterations

Useful iterations: 3 (945.0ms)

Iter	Nodes	Cost
0	65	392
1	177	380
2	610	342
3	3072	334
done	5001	334

prune111.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ 10.0 d2) d1)
0.2b	(+ (* (+ 10.0 d2) d1) (* 20.0 d1))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`flip3-+` `associate-*l/` `flip-+`
1×	`+-commutative` `distribute-rgt-out` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

24.0ms	(* (+ 10.0 d2) d1)
19.0ms	(+ (* (+ 10.0 d2) d1) (* 20.0 d1))

series81.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* (+ 10.0 d2) d1)
45.0ms	(+ (* (+ 10.0 d2) d1) (* 20.0 d1))

simplify2.2s

Counts

39 → 39

Iterations

Useful iterations: 3 (946.0ms)

Iter	Nodes	Cost
0	69	391
1	192	345
2	683	307
3	2679	305
done	5000	305

prune90.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ 10.0 d2) 20.0)
0.0b	(+ (+ 10.0 d2) 20.0)
0.1b	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
0.2b	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

rewrite392.0ms

Algorithm

rewrite-expression-head

Rules

29×	`*-un-lft-identity`
16×	`associate-r`
14×	`sqrt-div` `add-log-exp`
13×	`add-sqr-sqrt`
12×	`distribute-lft-out`
11×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube`
10×	`associate-*r/`
9×	`add-cube-cbrt` `flip3-+` `flip-+`
6×	`sum-log`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`+-commutative` `associate-+l+` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

27.0ms	(+ (+ 10.0 d2) 20.0)
36.0ms	(+ (+ 10.0 d2) 20.0)
114.0ms	(* d1 (sqrt (+ (+ 10.0 d2) 20.0)))
211.0ms	(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))

series78.0ms

Calls

1 calls:

53.0ms

(* (* d1 (sqrt (+ (+ 10.0 d2) 20.0))) (sqrt (+ (+ 10.0 d2) 20.0)))