Details

sample28.0ms

Algorithm

intervals

Results

14.0ms	334×	body	80	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid

simplify633.0ms

Counts

1 → 1

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	11	245
1	20	220
2	49	180
3	138	165
4	287	165
5	495	165
6	613	165
7	617	165
done	617	165

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite272.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

28.0ms	(+ (+ d3 5.0) 32.0)
241.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ (+ d3 5.0) 32.0)
43.0ms	(* d1 (+ d2 (+ (+ d3 5.0) 32.0)))

simplify1.5s

Counts

54 → 54

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	83	9728
1	241	8502
2	956	8412
done	5000	8327

prune273.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 55

Calls

3 calls:

32.0ms	(* (+ d3 5.0) d1)
14.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
44.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

series151.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(* (+ d3 5.0) d1)
55.0ms	(+ (* d1 d2) (* (+ d3 5.0) d1))
46.0ms	(+ (+ (* d1 d2) (* (+ d3 5.0) d1)) (* d1 32.0))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	100	14670
1	297	12246
2	1106	11271
done	5002	11231

prune364.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize48.0ms

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)))

rewrite81.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 103

Calls

4 calls:

3.0ms	(cbrt (+ d3 5.0))
6.0ms	(cbrt (+ d3 5.0))
6.0ms	(cbrt (+ d3 5.0))
63.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

series529.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (+ d3 5.0))
133.0ms	(cbrt (+ d3 5.0))
130.0ms	(cbrt (+ d3 5.0))
142.0ms	(* (cbrt (+ d3 5.0)) (cbrt (+ d3 5.0)))

simplify91.0ms

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	154	43036