Details

analyze237.0ms (9%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample39.0ms (1.5%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 45 to 38 computations (15.6% saved)

simplify226.0ms (8.6%)

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

prune3.0ms (0.1%)

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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.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:

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

0.3b

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

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`

Counts

2 → 36

Calls

2 calls:

3.0ms

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

3.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 322 to 207 computations (35.7% saved)

series9.0ms (0.3%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

4.0ms

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

3.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 83 to 62 computations (25.3% saved)

simplify91.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

426×	`log-div_binary64`
382×	`distribute-rgt-in_binary64`
337×	`associate-l_binary64`
261×	`associate-*r/_binary64`
261×	`sqr-pow_binary64`

Counts

42 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	349
1	108	301
2	323	292
3	589	290
4	839	290
5	1391	290
6	3232	290
7	4939	290
8	5041	290

prune20.0ms (0.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	23	8	31
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	8	32

Error

0.0b

Counts

32 → 8

Alt Table

Status	Error	Program
	0.5b	(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))
▶	0.4b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))
	0.4b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(.f64 t (.f64 (sqrt.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 t)) (sqrt.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 t))))
	0.6b	(.f64 t (cbrt.f64 (.f64 (pow.f64 t 3) 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144)))
	0.5b	(.f64 (sqrt.f64 t) (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))
	1.3b	(.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 t) (cbrt.f64 t)))
	0.6b	(.f64 (sqrt.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))) (sqrt.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (*.f64 t t))))

Compiler

Compiled 359 to 236 computations (34.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

1 → 19

Calls

1 calls:

4.0ms

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

Compiler

Compiled 173 to 101 computations (41.6% saved)

series5.0ms (0.2%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

4.0ms

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

Compiler

Compiled 42 to 35 computations (16.7% saved)

simplify71.0ms (2.7%)

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	4851	174

prune9.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Error

0.0b

Counts

19 → 6

Alt Table

Status	Error	Program
▶	0.3b	(.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))
	0.5b	(.f64 (sqrt.f64 t) (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))
	0.5b	(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))
✓	0.4b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))
	0.4b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(.f64 t (cbrt.f64 (.f64 (pow.f64 t 3) 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144)))

Compiler

Compiled 138 to 105 computations (23.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite31.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`associate-l_binary64`
9×	`cbrt-unprod_binary64`

Counts

2 → 42

Calls

2 calls:

6.0ms

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

3.0ms

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

Compiler

Compiled 514 to 384 computations (25.3% saved)

series9.0ms (0.4%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

4.0ms

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

4.0ms

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

Compiler

Compiled 104 to 90 computations (13.5% saved)

simplify56.0ms (2.1%)

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

prune19.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	40	7	47

Error

0.0b

Counts

47 → 7

Alt Table

Status	Error	Program
✓	0.3b	(.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))
	0.5b	(.f64 (sqrt.f64 t) (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))
	0.5b	(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))
✓	0.4b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))
▶	0.4b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (cbrt.f64 (.f64 8343699359066054486150202998521431101588112463/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 (pow.f64 t 6))))
	0.6b	(.f64 t (cbrt.f64 (.f64 (pow.f64 t 3) 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144)))

Compiler

Compiled 351 to 254 computations (27.6% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite32.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 42

Calls

2 calls:

5.0ms

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

4.0ms

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

Compiler

Compiled 533 to 414 computations (22.3% saved)

series8.0ms (0.3%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

4.0ms

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

3.0ms

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

Compiler

Compiled 83 to 62 computations (25.3% saved)

simplify83.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

649×	`unswap-sqr_binary64`
338×	`associate-+l+_binary64`
276×	`*-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	792	331
4	1128	331
5	1709	331
6	4858	331
7	4945	331

prune15.0ms (0.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	38	0	38
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	38	7	45

Error

0.0b

Counts

45 → 7

Alt Table

Status	Error	Program
	0.3b	(.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)))
	0.5b	(.f64 (sqrt.f64 t) (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))
	0.5b	(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))
	0.4b	(.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (.f64 t t))
	0.4b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(.f64 (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) (cbrt.f64 (.f64 8343699359066054486150202998521431101588112463/1042962419883256876169444192465601618458351817556959360325703910069443225478828393565899456512 (pow.f64 t 6))))
	0.6b	(.f64 t (cbrt.f64 (.f64 (pow.f64 t 3) 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144)))

Compiler

Compiled 255 to 186 computations (27.1% saved)

regimes115.0ms (4.4%)

Accuracy

Total 0.3b remaining (97.1%)

Threshold costs 0.3b (97.1%)

Compiler

Compiled 1724 to 1232 computations (28.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	10	10
2	9	10

end0.0ms (0%)

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

sample1.5s (56.6%)

Algorithm

1×

intervals

Results

1.0s	8000×	body	256	valid
120.0ms	8000×	pre	128	true

Compiler

Compiled 92 to 74 computations (19.6% saved)

Details

analyze237.0ms (9%)

sample39.0ms (1.5%)

simplify226.0ms (8.6%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite28.0ms (1.1%)

series9.0ms (0.3%)

simplify91.0ms (3.5%)

prune20.0ms (0.8%)

localize3.0ms (0.1%)

rewrite13.0ms (0.5%)

series5.0ms (0.2%)

simplify71.0ms (2.7%)

prune9.0ms (0.3%)

localize7.0ms (0.3%)

rewrite31.0ms (1.2%)

series9.0ms (0.4%)

simplify56.0ms (2.1%)

prune19.0ms (0.7%)

localize5.0ms (0.2%)

rewrite32.0ms (1.2%)

series8.0ms (0.3%)

simplify83.0ms (3.2%)

prune15.0ms (0.6%)

regimes115.0ms (4.4%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (56.6%)

Profiling