Details

sample18.0ms

Algorithm

intervals

Results

9.0ms	289×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid

simplify108.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	9	11
1	19	9
2	45	7
3	72	7
4	83	7
5	84	7
done	84	7

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
7×	`add-sqr-sqrt` `add-log-exp`
6×	`distribute-lft-out`
5×	`add-cube-cbrt` `associate-r`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`fma-def` `associate-l` `sum-log`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `associate-+r+` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

28.0ms	(+ 20.0 (+ 10.0 d2))
98.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ 20.0 (+ 10.0 d2))
61.0ms	(* d1 (+ 20.0 (+ 10.0 d2)))

simplify2.3s

Counts

52 → 52

Iterations

Useful iterations: 3 (991.0ms)

Iter	Nodes	Cost
0	69	420
1	191	402
2	662	364
3	3203	361
done	5000	361

prune128.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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×	`expm1-log1p-u` `flip3-+` `associate-*l/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 38

Calls

2 calls:

38.0ms	(* (+ 10.0 d2) d1)
9.0ms	(+ (* 20.0 d1) (* (+ 10.0 d2) d1))

series99.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(* (+ 10.0 d2) d1)
64.0ms	(+ (* 20.0 d1) (* (+ 10.0 d2) d1))

simplify3.1s

Counts

44 → 44

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	73	423
1	204	364
2	754	332
3	3130	331
done	5000	330

prune145.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite324.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity`
16×	`associate-r`
15×	`add-sqr-sqrt`
14×	`sqrt-div` `add-log-exp`
12×	`distribute-lft-out`
11×	`pow1` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `add-cbrt-cube`
10×	`associate-*r/`
9×	`flip3-+` `flip-+`
6×	`fma-def` `sum-log`
4×	`expm1-log1p-u` `frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
2×	`+-commutative` `associate-+r+` `associate-l/` `-commutative` `unswap-sqr`

Counts

4 → 101

Calls

4 calls:

17.0ms	(+ 20.0 (+ 10.0 d2))
25.0ms	(+ 20.0 (+ 10.0 d2))
87.0ms	(* d1 (sqrt (+ 20.0 (+ 10.0 d2))))
192.0ms	(* (* d1 (sqrt (+ 20.0 (+ 10.0 d2)))) (sqrt (+ 20.0 (+ 10.0 d2))))

series60.0ms

Calls

1 calls:

44.0ms

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