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

20.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify301.0ms (13.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	5064	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

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:

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

0.3b

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

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
7×	`add-sqr-sqrt_binary64_435`
6×	`associate-l_binary64_357`
5×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
4×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `associate-r_binary64_356` `cbrt-unprod_binary64_444`
2×	`*-commutative_binary64_347` `add-log-exp_binary64_450`
1×	`unswap-sqr_binary64_382`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series59.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

37.0ms

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

22.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify116.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune36.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	35	7	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	8	43

Merged error: 0.0b

Counts

43 → 8

Compiler

Compiled 389 to 269 computations (30.8% 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)))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
9×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `cbrt-unprod_binary64_444`
7×	`associate-r_binary64_356`
5×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
4×	`associate-l_binary64_357`
3×	`sqrt-prod_binary64_429`
2×	`*-commutative_binary64_347` `add-log-exp_binary64_450`

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))

series65.0ms (3%)

Counts

2 → 6

Calls

2 calls:

41.0ms

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

24.0ms

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

simplify81.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune36.0ms (1.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	5	6
Picked	1	0	1
Done	0	1	1
Total	48	8	56

Merged error: 0b

Counts

56 → 8

Compiler

Compiled 452 to 338 computations (25.2% saved)

localize6.0ms (0.3%)

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_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
9×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `cbrt-unprod_binary64_444`
7×	`associate-r_binary64_356`
5×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414` `add-sqr-sqrt_binary64_435`
4×	`associate-l_binary64_357`
3×	`sqrt-prod_binary64_429`
2×	`*-commutative_binary64_347` `add-log-exp_binary64_450`

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))

series75.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

40.0ms

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

35.0ms

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

simplify78.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune34.0ms (1.6%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	48	8	56

Merged error: 0b

Counts

56 → 8

Compiler

Compiled 495 to 389 computations (21.4% saved)

localize5.0ms (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_472` `add-exp-log_binary64_449` `add-cbrt-cube_binary64_447`
3×	`prod-exp_binary64_460` `pow-prod-down_binary64_482` `associate-r_binary64_356` `cbrt-unprod_binary64_444` `add-sqr-sqrt_binary64_435`
2×	`add-cube-cbrt_binary64_446` `*-un-lft-identity_binary64_414`
1×	`-commutative_binary64_347` `associate-l*_binary64_357` `add-log-exp_binary64_450` `unswap-sqr_binary64_382`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series40.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify71.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune12.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	22	8	30

Merged error: 0b

Counts

30 → 8

Compiler

Compiled 164 to 100 computations (39% saved)

regimes38.0ms (1.7%)

Compiler: Compiled 147 to 126 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.0s (46.7%)

Algorithm

1×

intervals

Results

634.0ms	8000×	body	256	valid
116.0ms	8000×	pre	128	true

Compiler

Compiled 108 to 93 computations (13.9% saved)

Details

analyze2.0ms (0.1%)

sample29.0ms (1.4%)

simplify301.0ms (13.9%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series59.0ms (2.7%)

simplify116.0ms (5.4%)

prune36.0ms (1.7%)

localize5.0ms (0.2%)

rewrite18.0ms (0.8%)

series65.0ms (3%)

simplify81.0ms (3.7%)

prune36.0ms (1.7%)

localize6.0ms (0.3%)

rewrite18.0ms (0.8%)

series75.0ms (3.5%)

simplify78.0ms (3.6%)

prune34.0ms (1.6%)

localize5.0ms (0.2%)

rewrite7.0ms (0.3%)

series40.0ms (1.9%)

simplify71.0ms (3.3%)

prune12.0ms (0.6%)

regimes38.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (46.7%)

Profiling