Details

analyze190.0ms (5.6%)

Algorithm

1×

Search

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

Compiler

Compiled 24 to 20 computations (16.7% saved)

sample37.0ms (1.1%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 45 to 38 computations (15.6% saved)

simplify192.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-def_binary64`
760×	`unsub-neg_binary64`
633×	`distribute-neg-in_binary64`
628×	`distribute-rgt-neg-in_binary64`
564×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	19
2	98	17
3	302	15
4	923	7
5	2332	7
6	3226	7
7	3864	7
8	4544	7
9	4793	7
10	4822	7
11	4798	7
12	4830	7
13	4680	7
14	4874	7
15	4821	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.3b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
✓	0.3b	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

New

Error

Program

✓

0.3b

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

✓

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

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 → 40

Calls

2 calls:

4.0ms

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

3.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series16.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

10.0ms

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

6.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify142.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-def_binary64`
331×	`associate-l_binary64`
261×	`associate-*r/_binary64`
229×	`associate-*l/_binary64`
217×	`*-commutative_binary64`

Counts

64 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	478
1	112	430
2	327	421
3	594	419
4	851	419
5	1427	419
6	3364	419
7	4801	419
8	4930	419

prune41.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	101	7	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	102	7	109

Error

0.0b

Counts

109 → 7

Alt Table

Status	Error	Program
	0.4b	(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 2))
▶	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	1.4b	(.f64 t (.f64 (.f64 (cbrt.f64 t) (cbrt.f64 t)) (.f64 (cbrt.f64 t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.7b	(.f64 t (.f64 (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008) (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)))
	0.7b	(.f64 t (cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))))
	0.7b	(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))

Compiler

Compiled 727 to 469 computations (35.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
✓	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

New

Error

Program

✓

0.2b

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

✓

0.3b

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

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

7.0ms

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

6.0ms

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

series16.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

10.0ms

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

6.0ms

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

simplify73.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

649×	`unswap-sqr_binary64`
338×	`associate-+l+_binary64`
276×	`*-commutative_binary64`
268×	`associate-*r/_binary64`
267×	`fma-def_binary64`

Counts

70 → 121

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	581
1	154	482
2	528	470
3	797	460
4	1147	460
5	1776	460
6	4885	460

prune43.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	119	2	121
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	120	8	128

Error

0.0b

Counts

128 → 8

Alt Table

Status	Error	Program
	0.4b	(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 2))
✓	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(.f64 t (cbrt.f64 (.f64 (pow.f64 t 3) 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144)))
	0.7b	(.f64 t (.f64 (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008) (.f64 (sqrt.f64 t) 2028240960365167/10141204801825835211973625643008)))
▶	0.3b	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
	0.7b	(.f64 t (cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))))
	0.7b	(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))

Compiler

Compiled 951 to 712 computations (25.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))
✓	0.3b	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

New

Error

Program

✓

0.2b

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

✓

0.3b

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

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

8.0ms

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

4.0ms

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

series20.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

10.0ms

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

10.0ms

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

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

505×	`unswap-sqr_binary64`
326×	`associate-*r/_binary64`
325×	`associate-+l+_binary64`
294×	`associate-*l/_binary64`
271×	`fma-def_binary64`

Counts

70 → 133

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	682
1	152	580
2	539	559
3	768	553
4	1067	553
5	1694	553
6	4862	553

prune40.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	135	6	141

Error

Counts

141 → 6

Alt Table

Status	Error	Program
	0.4b	(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 2))
	0.6b	(.f64 (.f64 (sqrt.f64 (.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))) (sqrt.f64 (.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008)))) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
▶	0.4b	(.f64 (.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
✓	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.7b	(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))

Compiler

Compiled 936 to 686 computations (26.7% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
✓	0.3b	(*.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2))

New

Error

Program

✓

0.3b

(*.f64 (*.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

✓

0.3b

(*.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2))

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64`
14×	`associate-r_binary64`
13×	`add-sqr-sqrt_binary64`
10×	`prod-exp_binary64`
9×	`add-cbrt-cube_binary64`

Counts

2 → 53

Calls

2 calls:

5.0ms

(*.f64 (*.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

4.0ms

(*.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2))

series20.0ms (0.6%)

Counts

2 → 12

Calls

2 calls:

10.0ms

(*.f64 (*.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

10.0ms

(*.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2))

simplify104.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

497×	`associate-l_binary64`
350×	`associate-r_binary64`
344×	`fma-def_binary64`
308×	`log-prod_binary64`
247×	`exp-prod_binary64`

Counts

65 → 124

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	706
1	150	555
2	396	545
3	1286	530
4	2018	530
5	4253	530
6	4386	530
7	5051	530

prune54.0ms (1.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	124	6	130

Error

Counts

130 → 6

Alt Table

Status	Error	Program
	0.4b	(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 2))
	0.6b	(.f64 (.f64 (sqrt.f64 (.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))) (sqrt.f64 (.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008)))) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
✓	0.4b	(.f64 (.f64 2028240960365167/10141204801825835211973625643008 (pow.f64 t 2)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
✓	0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.7b	(.f64 (sqrt.f64 t) (.f64 (sqrt.f64 t) (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
	0.6b	(cbrt.f64 (*.f64 69617318994479288428505409468106852619915340402670484572597162535910920607533699795135926369/1087770609288739018116276647019455748771006705104961378712461595034426490595025393129804804639189577049885346787832834079429794483512744426310696916513970896780966442670885312576979206144 (pow.f64 t 6)))

Compiler

Compiled 1090 to 893 computations (18.1% saved)

regimes128.0ms (3.8%)

Accuracy

Total 0.3b remaining (94.7%)

Threshold costs 0.3b (94.7%)

Compiler

Compiled 1637 to 1265 computations (22.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	11	7
2	10	7

end0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

sample2.1s (62.8%)

Algorithm

1×

intervals

Results

1.4s	8000×	body	256	valid
181.0ms	8000×	pre	128	true

Compiler

Compiled 89 to 70 computations (21.3% saved)

Details

analyze190.0ms (5.6%)

sample37.0ms (1.1%)

simplify192.0ms (5.7%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite8.0ms (0.2%)

series16.0ms (0.5%)

simplify142.0ms (4.2%)

prune41.0ms (1.2%)

localize5.0ms (0.1%)

rewrite14.0ms (0.4%)

series16.0ms (0.5%)

simplify73.0ms (2.2%)

prune43.0ms (1.3%)

localize5.0ms (0.1%)

rewrite13.0ms (0.4%)

series20.0ms (0.6%)

simplify75.0ms (2.2%)

prune40.0ms (1.2%)

localize5.0ms (0.1%)

rewrite13.0ms (0.4%)

series20.0ms (0.6%)

simplify104.0ms (3.1%)

prune54.0ms (1.6%)

regimes128.0ms (3.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.1s (62.8%)

Profiling