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 (1.2%)

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)

simplify319.0ms (13.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (150.0ms)

Iter	Nodes	Cost
0	5064	7

prune5.0ms (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: 0.4b

Counts

2 → 1

Compiler

Compiled 34 to 29 computations (14.7% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
7×	`add-sqr-sqrt_binary64_1821`
6×	`associate-l_binary64_1740`
5×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
4×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870` `associate-r_binary64_1739`
2×	`add-log-exp_binary64_1838` `*-commutative_binary64_1730`
1×	`unswap-sqr_binary64_1767`

Counts

2 → 36

Calls

2 calls:

6.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series65.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

41.0ms

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

23.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify123.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune112.0ms (4.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	7	43

Merged error: 0b

Counts

43 → 7

Compiler

Compiled 1272 to 956 computations (24.8% saved)

localize6.0ms (0.3%)

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)))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
9×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870`
7×	`associate-r_binary64_1739`
5×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
4×	`associate-l_binary64_1740`
3×	`sqrt-prod_binary64_1815`
2×	`add-log-exp_binary64_1838` `*-commutative_binary64_1730`

Counts

2 → 42

Calls

2 calls:

9.0ms

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

7.0ms

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

series66.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

41.0ms

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

25.0ms

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

simplify87.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune55.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	48	7	55

Merged error: 0b

Counts

55 → 7

Compiler

Compiled 667 to 514 computations (22.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
9×	`prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870`
7×	`associate-r_binary64_1739`
5×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
4×	`associate-l_binary64_1740`
3×	`sqrt-prod_binary64_1815`
2×	`add-log-exp_binary64_1838` `*-commutative_binary64_1730`

Counts

2 → 42

Calls

2 calls:

10.0ms

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

5.0ms

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

series78.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

43.0ms

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

35.0ms

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

simplify82.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune36.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	48	7	55

Merged error: 0b

Counts

55 → 7

Compiler

Compiled 487 to 381 computations (21.8% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_1860` `add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
3×	`add-sqr-sqrt_binary64_1821` `prod-exp_binary64_1848` `cbrt-unprod_binary64_1832` `pow-prod-down_binary64_1870` `associate-r_binary64_1739`
2×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
1×	`add-log-exp_binary64_1838` `unswap-sqr_binary64_1767` `associate-l_binary64_1740` `*-commutative_binary64_1730`

Counts

1 → 19

Calls

1 calls:

7.0ms

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

series38.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify86.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune18.0ms (0.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	22	7	29

Merged error: 0b

Counts

29 → 7

Compiler

Compiled 227 to 152 computations (33% saved)

regimes29.0ms (1.2%)

Compiler: Compiled 116 to 96 computations (17.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample997.0ms (43.3%)

Algorithm

1×

intervals

Results

604.0ms	8000×	body	256	valid
126.0ms	8000×	pre	128	true

Compiler

Compiled 102 to 87 computations (14.7% saved)

Details

analyze2.0ms (0.1%)

sample29.0ms (1.2%)

simplify319.0ms (13.8%)

prune5.0ms (0.2%)

localize3.0ms (0.2%)

rewrite12.0ms (0.5%)

series65.0ms (2.8%)

simplify123.0ms (5.3%)

prune112.0ms (4.9%)

localize6.0ms (0.3%)

rewrite19.0ms (0.8%)

series66.0ms (2.9%)

simplify87.0ms (3.8%)

prune55.0ms (2.4%)

localize6.0ms (0.2%)

rewrite18.0ms (0.8%)

series78.0ms (3.4%)

simplify82.0ms (3.5%)

prune36.0ms (1.6%)

localize3.0ms (0.1%)

rewrite8.0ms (0.4%)

series38.0ms (1.6%)

simplify86.0ms (3.7%)

prune18.0ms (0.8%)

regimes29.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample997.0ms (43.3%)

Profiling