Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 23 to 20 computations (13% saved)

sample34.0ms (1.1%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify340.0ms (10.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (247.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune4.0ms (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

Error

0.3b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
0.2b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.2b	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.3b	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_2796` `add-cbrt-cube_binary64_2771` `add-exp-log_binary64_2773`
7×	`add-sqr-sqrt_binary64_2757`
6×	`associate-l_binary64_2676`
5×	`*-un-lft-identity_binary64_2735` `add-cube-cbrt_binary64_2770`
4×	`pow-prod-down_binary64_2806` `prod-exp_binary64_2784` `associate-r_binary64_2675` `cbrt-unprod_binary64_2768`
2×	`*-commutative_binary64_2666` `add-log-exp_binary64_2774`
1×	`unswap-sqr_binary64_2703`

Counts

2 → 36

Calls

4 calls:

5.0ms	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
4.0ms	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
0.0ms	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.0ms	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series43.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

27.0ms

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

16.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 60 to 54 computations (10% saved)

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune42.0ms (1.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Error

0.0b

Counts

43 → 6

Compiler

Compiled 367 to 254 computations (30.8% saved)

localize5.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.2b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
0.2b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
0.2b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_2796` `add-cbrt-cube_binary64_2771` `add-exp-log_binary64_2773`
9×	`pow-prod-down_binary64_2806` `prod-exp_binary64_2784` `cbrt-unprod_binary64_2768`
7×	`associate-r_binary64_2675`
5×	`*-un-lft-identity_binary64_2735` `add-cube-cbrt_binary64_2770` `add-sqr-sqrt_binary64_2757`
4×	`associate-l_binary64_2676`
3×	`sqrt-prod_binary64_2751`
2×	`*-commutative_binary64_2666` `add-log-exp_binary64_2774`

Counts

2 → 42

Calls

4 calls:

7.0ms	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
6.0ms	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.0ms	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
0.0ms	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

series40.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

24.0ms

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

16.0ms

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

Compiler

Compiled 60 to 54 computations (10% saved)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5066	335

prune40.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	47	7	54

Error

0.0b

Counts

54 → 7

Compiler

Compiled 435 to 325 computations (25.3% saved)

localize5.0ms (0.2%)

Local error

Found 4 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))
0.2b	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))
0.2b	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_2796` `add-cbrt-cube_binary64_2771` `add-exp-log_binary64_2773`
9×	`pow-prod-down_binary64_2806` `prod-exp_binary64_2784` `cbrt-unprod_binary64_2768`
7×	`associate-r_binary64_2675`
5×	`*-un-lft-identity_binary64_2735` `add-cube-cbrt_binary64_2770` `add-sqr-sqrt_binary64_2757`
4×	`associate-l_binary64_2676`
3×	`sqrt-prod_binary64_2751`
2×	`*-commutative_binary64_2666` `add-log-exp_binary64_2774`

Counts

2 → 42

Calls

4 calls:

9.0ms	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
5.0ms	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))
0.0ms	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))
0.0ms	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

series51.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

26.0ms

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

24.0ms

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

Compiler

Compiled 78 to 78 computations (0% saved)

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune40.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	48	7	55

Error

Counts

55 → 7

Compiler

Compiled 486 to 385 computations (20.8% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.4b

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

0.4b

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_2796` `add-cbrt-cube_binary64_2771` `add-exp-log_binary64_2773`
3×	`pow-prod-down_binary64_2806` `prod-exp_binary64_2784` `associate-r_binary64_2675` `cbrt-unprod_binary64_2768` `add-sqr-sqrt_binary64_2757`
2×	`*-un-lft-identity_binary64_2735` `add-cube-cbrt_binary64_2770`
1×	`associate-l_binary64_2676` `unswap-sqr_binary64_2703` `*-commutative_binary64_2666` `add-log-exp_binary64_2774`

Counts

1 → 19

Calls

2 calls:

8.0ms

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

0.0ms

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

series24.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

24.0ms

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

Compiler

Compiled 30 to 30 computations (0% saved)

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5392	176

prune12.0ms (0.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	22	7	29

Error

Counts

29 → 7

Compiler

Compiled 164 to 100 computations (39% saved)

simplify9.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	150	333
1	150	333

regimes85.0ms (2.6%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 495 to 421 computations (14.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample2.1s (64.3%)

Algorithm

1×

intervals

Results

602.0ms	8000×	body	256	valid
111.0ms	8000×	pre	128	true

Compiler

Compiled 724 to 607 computations (16.2% saved)

Pareto

0.3568854067316074

Details

analyze1.0ms (0%)

sample34.0ms (1.1%)

simplify340.0ms (10.5%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

rewrite12.0ms (0.4%)

series43.0ms (1.3%)

simplify82.0ms (2.5%)

prune42.0ms (1.3%)

localize5.0ms (0.2%)

rewrite16.0ms (0.5%)

series40.0ms (1.2%)

simplify83.0ms (2.6%)

prune40.0ms (1.2%)

localize5.0ms (0.2%)

rewrite17.0ms (0.5%)

series51.0ms (1.6%)

simplify68.0ms (2.1%)

prune40.0ms (1.2%)

localize3.0ms (0.1%)

rewrite10.0ms (0.3%)

series24.0ms (0.7%)

simplify82.0ms (2.5%)

prune12.0ms (0.4%)

simplify9.0ms (0.3%)

regimes85.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (64.3%)

Profiling