Details

analyze2.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 23 to 20 computations (13% saved)

sample29.0ms (1.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify302.0ms (14.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5064	7

prune3.0ms (0.2%)

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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% 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)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
7×	`add-sqr-sqrt_binary64_772`
6×	`associate-l_binary64_694`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
4×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781`
2×	`add-log-exp_binary64_787` `*-commutative_binary64_684`
1×	`unswap-sqr_binary64_719`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series59.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

36.0ms

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

23.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify111.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune38.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	9	43

Merged error: 0.0b

Counts

43 → 9

Compiler

Compiled 398 to 276 computations (30.7% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
3×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781` `add-sqr-sqrt_binary64_772`
2×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
1×	`unswap-sqr_binary64_719` `add-log-exp_binary64_787` `-commutative_binary64_684` `associate-l*_binary64_694`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series37.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify73.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune17.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	23	8	31

Merged error: 0.0b

Counts

31 → 8

Compiler

Compiled 221 to 142 computations (35.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `cbrt-unprod_binary64_781`
7×	`associate-r_binary64_693`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
4×	`associate-l_binary64_694`
3×	`sqrt-prod_binary64_766`
2×	`add-log-exp_binary64_787` `*-commutative_binary64_684`

Counts

2 → 42

Calls

2 calls:

9.0ms

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

5.0ms

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

series76.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

41.0ms

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

35.0ms

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

simplify80.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune37.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	4	5
Picked	1	0	1
Done	0	2	2
Total	49	7	56

Merged error: 0b

Counts

56 → 7

Compiler

Compiled 492 to 384 computations (22% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

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

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781`
6×	`add-sqr-sqrt_binary64_772`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
3×	`sqrt-prod_binary64_766`
2×	`add-log-exp_binary64_787` `-commutative_binary64_684` `associate-l*_binary64_694`
1×	`unswap-sqr_binary64_719`

Counts

2 → 43

Calls

2 calls:

12.0ms

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

6.0ms

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

series71.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

36.0ms

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

36.0ms

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

simplify82.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5112	408

prune31.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	49	7	56

Merged error: 0b

Counts

56 → 7

Compiler

Compiled 458 to 318 computations (30.6% saved)

regimes13.0ms (0.6%)

Compiler: Compiled 57 to 45 computations (21.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample982.0ms (46.4%)

Algorithm

1×

intervals

Results

628.0ms	8000×	body	256	valid
118.0ms	8000×	pre	128	true

Compiler

Compiled 101 to 84 computations (16.8% saved)

Details

analyze2.0ms (0.1%)

sample29.0ms (1.4%)

simplify302.0ms (14.3%)

prune3.0ms (0.2%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series59.0ms (2.8%)

simplify111.0ms (5.2%)

prune38.0ms (1.8%)

localize3.0ms (0.2%)

rewrite7.0ms (0.3%)

series37.0ms (1.7%)

simplify73.0ms (3.5%)

prune17.0ms (0.8%)

localize5.0ms (0.2%)

rewrite17.0ms (0.8%)

series76.0ms (3.6%)

simplify80.0ms (3.8%)

prune37.0ms (1.7%)

localize5.0ms (0.3%)

rewrite21.0ms (1%)

series71.0ms (3.4%)

simplify82.0ms (3.9%)

prune31.0ms (1.5%)

regimes13.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample982.0ms (46.4%)

Profiling