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)

sample30.0ms (1.3%)

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)

simplify316.0ms (13.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

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: 0.3b

Counts

2 → 1

Compiler

Compiled 34 to 29 computations (14.7% 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))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
7×	`add-sqr-sqrt_binary64_1477`
6×	`associate-l_binary64_1396`
5×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
4×	`prod-exp_binary64_1504` `associate-r_binary64_1395` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526`
2×	`add-log-exp_binary64_1494` `*-commutative_binary64_1386`
1×	`unswap-sqr_binary64_1423`

Counts

2 → 36

Calls

2 calls:

6.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series62.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

38.0ms

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

23.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify115.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune85.0ms (3.7%)

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 978 to 729 computations (25.5% 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)))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
9×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526`
7×	`associate-r_binary64_1395`
5×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
4×	`associate-l_binary64_1396`
3×	`sqrt-prod_binary64_1471`
2×	`add-log-exp_binary64_1494` `*-commutative_binary64_1386`

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))

series61.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

39.0ms

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

22.0ms

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

simplify85.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune55.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	48	8	56

Merged error: 0b

Counts

56 → 8

Compiler

Compiled 677 to 514 computations (24.1% saved)

localize5.0ms (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))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
9×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526`
7×	`associate-r_binary64_1395`
5×	`add-sqr-sqrt_binary64_1477` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
4×	`associate-l_binary64_1396`
3×	`sqrt-prod_binary64_1471`
2×	`add-log-exp_binary64_1494` `*-commutative_binary64_1386`

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))

series80.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

42.0ms

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

38.0ms

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

simplify80.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune42.0ms (1.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	48	8	56

Merged error: 0b

Counts

56 → 8

Compiler

Compiled 557 to 439 computations (21.2% 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_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
3×	`prod-exp_binary64_1504` `associate-r_binary64_1395` `add-sqr-sqrt_binary64_1477` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526`
2×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
1×	`add-log-exp_binary64_1494` `-commutative_binary64_1386` `associate-l*_binary64_1396` `unswap-sqr_binary64_1423`

Counts

1 → 19

Calls

1 calls:

7.0ms

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

series36.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify73.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune20.0ms (0.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	22	8	30

Merged error: 0b

Counts

30 → 8

Compiler

Compiled 232 to 157 computations (32.3% saved)

regimes37.0ms (1.6%)

Compiler: Compiled 139 to 126 computations (9.4% 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%)

sample1.0s (44.6%)

Algorithm

1×

intervals

Results

635.0ms	8000×	body	256	valid
115.0ms	8000×	pre	128	true

Compiler

Compiled 104 to 93 computations (10.6% saved)

Details

analyze2.0ms (0.1%)

sample30.0ms (1.3%)

simplify316.0ms (13.9%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

rewrite12.0ms (0.5%)

series62.0ms (2.7%)

simplify115.0ms (5.1%)

prune85.0ms (3.7%)

localize5.0ms (0.2%)

rewrite19.0ms (0.8%)

series61.0ms (2.7%)

simplify85.0ms (3.7%)

prune55.0ms (2.4%)

localize5.0ms (0.2%)

rewrite17.0ms (0.8%)

series80.0ms (3.5%)

simplify80.0ms (3.5%)

prune42.0ms (1.9%)

localize3.0ms (0.1%)

rewrite8.0ms (0.3%)

series36.0ms (1.6%)

simplify73.0ms (3.2%)

prune20.0ms (0.9%)

regimes37.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (44.6%)

Profiling