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)

sample33.0ms (1.4%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify302.0ms (12.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

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×	`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:

6.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series65.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

38.0ms

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

26.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify116.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune35.0ms (1.5%)

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 387 to 268 computations (30.7% saved)

localize6.0ms (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×	`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:

9.0ms

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

7.0ms

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

series64.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

38.0ms

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

26.0ms

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

simplify83.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune35.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	50	6	56

Merged error: 0b

Counts

56 → 6

Compiler

Compiled 432 to 326 computations (24.5% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

(*.f64 (*.f64 t (*.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:

9.0ms

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

5.0ms

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

series71.0ms (3%)

Counts

2 → 6

Calls

2 calls:

36.0ms

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

35.0ms

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

simplify83.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune33.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	48	6	54

Merged error: 0b

Counts

54 → 6

Compiler

Compiled 475 to 374 computations (21.3% 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)

series39.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify77.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune12.0ms (0.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	22	6	28

Merged error: 0b

Counts

28 → 6

Compiler

Compiled 164 to 100 computations (39% saved)

regimes84.0ms (3.6%)

Compiler: Compiled 612 to 502 computations (18% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample1.1s (48.4%)

Algorithm

1×

intervals

Results

627.0ms	8000×	body	256	valid
122.0ms	8000×	pre	128	true

Compiler

Compiled 219 to 180 computations (17.8% saved)

Details

analyze2.0ms (0.1%)

sample33.0ms (1.4%)

simplify302.0ms (12.9%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite12.0ms (0.5%)

series65.0ms (2.8%)

simplify116.0ms (4.9%)

prune35.0ms (1.5%)

localize6.0ms (0.2%)

rewrite18.0ms (0.8%)

series64.0ms (2.7%)

simplify83.0ms (3.5%)

prune35.0ms (1.5%)

localize5.0ms (0.2%)

rewrite17.0ms (0.7%)

series71.0ms (3%)

simplify83.0ms (3.5%)

prune33.0ms (1.4%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series39.0ms (1.7%)

simplify77.0ms (3.3%)

prune12.0ms (0.5%)

regimes84.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (48.4%)

Profiling