Details

sample42.0ms

Algorithm

intervals

Results

20.0ms	334×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify430.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (34.0ms)

Iter	Nodes	Cost
0	11	245
1	19	245
2	39	205
3	113	165
4	229	165
5	381	165
6	461	165
7	467	165
done	467	165

prune28.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ d3 5.0) 32.0)
0.0b	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

rewrite279.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

26.0ms	(+ (+ d3 5.0) 32.0)
252.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series86.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (+ d3 5.0) 32.0)
55.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify1.5s

Counts

46 → 46

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	79	8912
1	233	7786
2	951	7626
done	5003	7586

prune184.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ d3 5.0) d1)
0.0b	(+ (* d1 d2) (* (+ d3 5.0) d1))
0.0b	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

33.0ms	(* (+ d3 5.0) d1)
14.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
46.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series167.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* (+ d3 5.0) d1)
52.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
63.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify2.3s

Counts

54 → 54

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	94	13206
1	276	11672
2	1087	10432
done	5000	10032

prune273.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
0.8b	(cbrt (+ d3 5.0))
0.8b	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

3.0ms	(cbrt (+ d3 5.0))
3.0ms	(cbrt (+ d3 5.0))
4.0ms	(cbrt (+ d3 5.0))
47.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

series518.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(cbrt (+ d3 5.0))
114.0ms	(cbrt (+ d3 5.0))
115.0ms	(cbrt (+ d3 5.0))
157.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

simplify114.0ms

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	150	41340