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 (1.3%)

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)

simplify337.0ms (15%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune7.0ms (0.3%)

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 (0.2%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
7×	`add-sqr-sqrt_binary64_782`
6×	`associate-l_binary64_701`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
4×	`prod-exp_binary64_809` `associate-r_binary64_700` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
2×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
1×	`unswap-sqr_binary64_728`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series28.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

17.0ms

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

11.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify82.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune40.0ms (1.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	33	9	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	9	43

Merged error: 0b

Counts

43 → 9

Compiler

Compiled 415 to 291 computations (29.9% 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-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`prod-exp_binary64_809` `associate-r_binary64_700` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831` `add-sqr-sqrt_binary64_782`
2×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
1×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `associate-l_binary64_701` `*-commutative_binary64_691`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series18.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify84.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5392	176

prune16.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	5	3	8
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Merged error: 0b

Counts

31 → 5

Compiler

Compiled 194 to 127 computations (34.5% 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))

rewrite17.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
9×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
7×	`associate-r_binary64_700`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`associate-l_binary64_701`
3×	`sqrt-prod_binary64_776`
2×	`add-log-exp_binary64_799` `*-commutative_binary64_691`

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))

series36.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

19.0ms

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

16.0ms

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

simplify68.0ms (3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune35.0ms (1.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	48	5	53

Merged error: 0b

Counts

53 → 5

Compiler

Compiled 469 to 369 computations (21.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

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

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
9×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
7×	`associate-r_binary64_700`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`associate-l_binary64_701`
3×	`sqrt-prod_binary64_776`
2×	`add-log-exp_binary64_799` `*-commutative_binary64_691`

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))

series30.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

18.0ms

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

11.0ms

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

simplify85.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5066	335

prune30.0ms (1.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	48	5	53

Merged error: 0b

Counts

53 → 5

Compiler

Compiled 396 to 294 computations (25.8% saved)

regimes88.0ms (3.9%)

Compiler: Compiled 639 to 521 computations (18.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample1.2s (51.7%)

Algorithm

1×

intervals

Results

637.0ms	8000×	body	256	valid
117.0ms	8000×	pre	128	true

Compiler

Compiled 231 to 189 computations (18.2% saved)

Details

analyze2.0ms (0.1%)

sample29.0ms (1.3%)

simplify337.0ms (15%)

prune7.0ms (0.3%)

localize3.0ms (0.2%)

rewrite10.0ms (0.4%)

series28.0ms (1.2%)

simplify82.0ms (3.7%)

prune40.0ms (1.8%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series18.0ms (0.8%)

simplify84.0ms (3.7%)

prune16.0ms (0.7%)

localize6.0ms (0.3%)

rewrite17.0ms (0.8%)

series36.0ms (1.6%)

simplify68.0ms (3%)

prune35.0ms (1.6%)

localize6.0ms (0.3%)

rewrite17.0ms (0.7%)

series30.0ms (1.3%)

simplify85.0ms (3.8%)

prune30.0ms (1.3%)

regimes88.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (51.7%)

Profiling