Details

analyze266.0ms (10.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample33.0ms (1.3%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	256	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 45 to 38 computations (15.6% saved)

simplify248.0ms (10.1%)

Algorithm

1×	egg-herbie

Rules

821×	`unsub-neg_binary64`
715×	`distribute-rgt-neg-in_binary64`
694×	`distribute-neg-in_binary64`
613×	`sub-neg_binary64`
525×	`distribute-lft-neg-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	34	25
2	92	22
3	242	19
4	615	7
5	1524	7
6	2445	7
7	3083	7
8	3763	7
9	4076	7
10	4021	7
11	4034	7
12	4045	7
13	3887	7
14	4080	7
15	4314	7
16	4439	7
17	4654	7
18	4858	7
19	4985	7
20	4827	7

prune7.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite38.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`
5×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
4×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64`

Counts

2 → 36

Calls

2 calls:

4.0ms

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

3.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 322 to 207 computations (35.7% saved)

series15.0ms (0.6%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

8.0ms

(*.f64 t (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

5.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 83 to 62 computations (25.3% saved)

simplify98.0ms (4%)

Algorithm

1×	egg-herbie

Rules

430×	`log-div_binary64`
331×	`associate-l_binary64`
300×	`distribute-rgt-in_binary64`
286×	`distribute-lft-in_binary64`
261×	`sqr-pow_binary64` `associate-*r/_binary64`

Counts

42 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	349
1	108	301
2	323	292
3	595	290
4	906	290
5	1662	290
6	3660	290
7	4761	290
8	4929	290

prune25.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

0.0b

Counts

32 → 6

Alt Table

Status	Error	Program
	0.5b	(.f64 (sqrt.f64 t) (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))
	0.6b	(.f64 (sqrt.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))) (sqrt.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))))
▶	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(.f64 t (.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (sqrt.f64 t))))
	0.3b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))
✓	0.3b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 303 to 195 computations (35.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

0.2b

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

rewrite46.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
7×	`associate-r_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`associate-l_binary64`

Counts

2 → 42

Calls

2 calls:

8.0ms

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

6.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 533 to 414 computations (22.3% saved)

series13.0ms (0.5%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

6.0ms

(*.f64 t (*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

5.0ms

(*.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 83 to 62 computations (25.3% saved)

simplify107.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

649×	`unswap-sqr_binary64`
431×	`log-div_binary64`
279×	`*-commutative_binary64`
268×	`associate-*r/_binary64`
234×	`associate-*l/_binary64`

Counts

48 → 38

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	452
1	150	353
2	524	341
3	794	331
4	1208	331
5	1739	331
6	4556	331
7	4973	331
8	5075	331

prune21.0ms (0.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	37	1	38
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Error

0.0b

Counts

44 → 5

Alt Table

Status	Error	Program
✓	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.4b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))
	0.6b	(.f64 t (.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (sqrt.f64 t))))
▶	0.3b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))
✓	0.3b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 259 to 182 computations (29.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `add-sqr-sqrt_binary64` `associate-l_binary64`
2×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
1×	`add-log-exp_binary64` `unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

5.0ms

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))

Compiler

Compiled 173 to 101 computations (41.6% saved)

series8.0ms (0.3%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

7.0ms

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))

Compiler

Compiled 42 to 35 computations (16.7% saved)

simplify77.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-/l/_binary64`
559×	`associate-/r/_binary64`
350×	`distribute-rgt-in_binary64`
315×	`distribute-lft-in_binary64`
211×	`log-prod_binary64`

Counts

22 → 11

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	219
1	75	183
2	174	174
3	416	174
4	624	174
5	1005	174
6	1913	174
7	4654	174
8	4852	174

prune11.0ms (0.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	10	6	16

Error

0.0b

Counts

16 → 6

Alt Table

Status	Error	Program
✓	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.4b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))
	0.6b	(.f64 t (.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (sqrt.f64 t))))
▶	0.3b	(.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))
✓	0.3b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))
✓	0.3b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

Compiler

Compiled 121 to 86 computations (28.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))

0.3b

(*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))

rewrite43.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `associate-r_binary64` `*-commutative_binary64`

Counts

2 → 42

Calls

2 calls:

8.0ms

(*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))

4.0ms

(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))

Compiler

Compiled 514 to 384 computations (25.3% saved)

series18.0ms (0.7%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

9.0ms

(*.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))

7.0ms

(*.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008))

Compiler

Compiled 104 to 90 computations (13.5% saved)

simplify62.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

480×	`unswap-sqr_binary64`
473×	`associate-*r/_binary64`
465×	`associate-*l/_binary64`
264×	`associate-+l+_binary64`
258×	`associate-/l/_binary64`

Counts

48 → 41

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	520
1	132	415
2	470	394
3	648	386
4	910	386
5	1405	386
6	4892	386

prune21.0ms (0.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	40	7	47

Error

Counts

47 → 7

Alt Table

Status	Error	Program
	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.4b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))
	0.6b	(.f64 t (.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (sqrt.f64 t))))
	0.3b	(.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))
	0.3b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))
	0.3b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
	0.7b	(.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (cbrt.f64 (.f64 8343699359066054486150202998521431101588112463/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 (pow.f64 t 6))))

Compiler

Compiled 299 to 209 computations (30.1% saved)

regimes152.0ms (6.2%)

Accuracy

Total 0.3b remaining (94.5%)

Threshold costs 0.3b (94.5%)

Compiler

Compiled 1607 to 1172 computations (27.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	10	10

end1.0ms (0%)

Compiler: Compiled 8 to 6 computations (25% saved)

sample1.1s (45.3%)

Algorithm

1×

intervals

Results

660.0ms	8000×	body	256	valid
107.0ms	8000×	pre	128	true

Compiler

Compiled 91 to 70 computations (23.1% saved)

Details

analyze266.0ms (10.8%)

sample33.0ms (1.3%)

simplify248.0ms (10.1%)

prune7.0ms (0.3%)

localize3.0ms (0.1%)

rewrite38.0ms (1.5%)

series15.0ms (0.6%)

simplify98.0ms (4%)

prune25.0ms (1%)

localize5.0ms (0.2%)

rewrite46.0ms (1.9%)

series13.0ms (0.5%)

simplify107.0ms (4.3%)

prune21.0ms (0.9%)

localize3.0ms (0.1%)

rewrite17.0ms (0.7%)

series8.0ms (0.3%)

simplify77.0ms (3.1%)

prune11.0ms (0.4%)

localize5.0ms (0.2%)

rewrite43.0ms (1.7%)

series18.0ms (0.7%)

simplify62.0ms (2.5%)

prune21.0ms (0.8%)

regimes152.0ms (6.2%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.1s (45.3%)

Profiling