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)

sample35.0ms (1.5%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify337.0ms (14.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (244.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	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)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
7×	`add-sqr-sqrt_binary64_1464`
6×	`associate-l_binary64_1383`
5×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
2×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`
1×	`unswap-sqr_binary64_1410`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series34.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

23.0ms

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

12.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify81.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune33.0ms (1.5%)

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: 0.0b

Counts

43 → 7

Compiler

Compiled 392 to 271 computations (30.9% saved)

localize7.0ms (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)))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
9×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
7×	`associate-r_binary64_1382`
5×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`associate-l_binary64_1383`
3×	`sqrt-prod_binary64_1458`
2×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`

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))

series31.0ms (1.4%)

Counts

2 → 6

Calls

2 calls:

20.0ms

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

11.0ms

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

simplify84.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5066	335

prune36.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	47	8	55

Merged error: 0.0b

Counts

55 → 8

Compiler

Compiled 456 to 340 computations (25.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite15.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
9×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
7×	`associate-r_binary64_1382`
5×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`associate-l_binary64_1383`
3×	`sqrt-prod_binary64_1458`
2×	`*-commutative_binary64_1373` `add-log-exp_binary64_1481`

Counts

2 → 42

Calls

2 calls:

8.0ms

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

5.0ms

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

series40.0ms (1.8%)

Counts

2 → 6

Calls

2 calls:

22.0ms

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

18.0ms

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

simplify72.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune38.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	5	6
Picked	0	1	1
Done	1	0	1
Total	49	7	56

Merged error: 0b

Counts

56 → 7

Compiler

Compiled 499 to 391 computations (21.6% saved)

localize3.0ms (0.1%)

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×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
3×	`associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-sqr-sqrt_binary64_1464` `prod-exp_binary64_1491`
2×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
1×	`associate-l_binary64_1383` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series19.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

19.0ms

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

simplify82.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5392	176

prune12.0ms (0.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	22	7	29

Merged error: 0b

Counts

29 → 7

Compiler

Compiled 164 to 100 computations (39% saved)

regimes97.0ms (4.2%)

Compiler: Compiled 744 to 613 computations (17.6% 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%)

sample1.2s (51.6%)

Algorithm

1×

intervals

Results

627.0ms	8000×	body	256	valid
117.0ms	8000×	pre	128	true

Compiler

Compiled 265 to 219 computations (17.4% saved)

Details

analyze2.0ms (0.1%)

sample35.0ms (1.5%)

simplify337.0ms (14.8%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series34.0ms (1.5%)

simplify81.0ms (3.5%)

prune33.0ms (1.5%)

localize7.0ms (0.3%)

rewrite16.0ms (0.7%)

series31.0ms (1.4%)

simplify84.0ms (3.7%)

prune36.0ms (1.6%)

localize5.0ms (0.2%)

rewrite15.0ms (0.7%)

series40.0ms (1.8%)

simplify72.0ms (3.1%)

prune38.0ms (1.6%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series19.0ms (0.8%)

simplify82.0ms (3.6%)

prune12.0ms (0.5%)

regimes97.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (51.6%)

Profiling