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)

sample31.0ms (1.2%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify314.0ms (12.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

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 (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
7×	`add-sqr-sqrt_binary64_2146`
6×	`associate-l_binary64_2065`
5×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `associate-r_binary64_2064` `cbrt-unprod_binary64_2157`
2×	`*-commutative_binary64_2055` `add-log-exp_binary64_2163`
1×	`unswap-sqr_binary64_2092`

Counts

2 → 36

Calls

2 calls:

6.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series65.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

41.0ms

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

24.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify116.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune33.0ms (1.3%)

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 395 to 277 computations (29.9% 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)))

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
7×	`associate-r_binary64_2064`
5×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`associate-l_binary64_2065`
3×	`sqrt-prod_binary64_2140`
2×	`*-commutative_binary64_2055` `add-log-exp_binary64_2163`

Counts

2 → 42

Calls

2 calls:

11.0ms

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

7.0ms

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

series65.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

39.0ms

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

26.0ms

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

simplify83.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune37.0ms (1.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	46	10	56

Merged error: 0.0b

Counts

56 → 10

Compiler

Compiled 473 to 354 computations (25.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-sqr-sqrt_binary64_2146` `associate-r_binary64_2064` `cbrt-unprod_binary64_2157`
2×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
1×	`unswap-sqr_binary64_2092` `-commutative_binary64_2055` `add-log-exp_binary64_2163` `associate-l*_binary64_2065`

Counts

1 → 19

Calls

1 calls:

7.0ms

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

series38.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify74.0ms (3%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune17.0ms (0.7%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	22	10	32

Merged error: 0.0b

Counts

32 → 10

Compiler

Compiled 236 to 156 computations (33.9% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.4b

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2))

0.4b

(*.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_2162`
12×	`add-sqr-sqrt_binary64_2146`
10×	`prod-exp_binary64_2173`
9×	`associate-l_binary64_2065` `add-cbrt-cube_binary64_2160`
8×	`associate-r_binary64_2064`
7×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`unpow-prod-down_binary64_2203` `pow1_binary64_2185` `cbrt-unprod_binary64_2157`
3×	`unswap-sqr_binary64_2092` `sqrt-prod_binary64_2140`
2×	`pow-exp_binary64_2192` `*-commutative_binary64_2055` `add-log-exp_binary64_2163` `sqr-pow_binary64_2096` `pow-to-exp_binary64_2193`
1×	`pow-prod-down_binary64_2195`

Counts

2 → 47

Calls

2 calls:

10.0ms

(*.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))

6.0ms

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2))

series91.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

56.0ms

(*.f64 (sqrt.f64 t) (*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2)))

35.0ms

(*.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064 (pow.f64 t 3/2))

simplify51.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5091	604

prune42.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	2	4	6
Picked	0	1	1
Done	1	2	3
Total	54	9	63

Merged error: 0b

Counts

63 → 9

Compiler

Compiled 628 to 433 computations (31.1% saved)

regimes99.0ms (3.9%)

Compiler: Compiled 753 to 611 computations (18.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.3s (50.3%)

Algorithm

1×

intervals

Results

693.0ms	8000×	body	256	valid
123.0ms	8000×	pre	128	true

Compiler

Compiled 271 to 221 computations (18.5% saved)

Details

analyze2.0ms (0.1%)

sample31.0ms (1.2%)

simplify314.0ms (12.6%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite12.0ms (0.5%)

series65.0ms (2.6%)

simplify116.0ms (4.6%)

prune33.0ms (1.3%)

localize5.0ms (0.2%)

rewrite21.0ms (0.8%)

series65.0ms (2.6%)

simplify83.0ms (3.3%)

prune37.0ms (1.5%)

localize3.0ms (0.1%)

rewrite8.0ms (0.3%)

series38.0ms (1.5%)

simplify74.0ms (3%)

prune17.0ms (0.7%)

localize8.0ms (0.3%)

rewrite19.0ms (0.8%)

series91.0ms (3.6%)

simplify51.0ms (2.1%)

prune42.0ms (1.7%)

regimes99.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (50.3%)

Profiling