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)

sample32.0ms (1.2%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify306.0ms (12%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	5064	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

Merged error: 0.4b

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 (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
7×	`add-sqr-sqrt_binary64_772`
6×	`associate-l_binary64_694`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
4×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781`
2×	`add-log-exp_binary64_787` `*-commutative_binary64_684`
1×	`unswap-sqr_binary64_719`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series60.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

36.0ms

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

24.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify115.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune41.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	34	8	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	8	43

Merged error: 0.0b

Counts

43 → 8

Compiler

Compiled 403 to 283 computations (29.8% 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 (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `cbrt-unprod_binary64_781`
7×	`associate-r_binary64_693`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
4×	`associate-l_binary64_694`
3×	`sqrt-prod_binary64_766`
2×	`add-log-exp_binary64_787` `*-commutative_binary64_684`

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))

series62.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

40.0ms

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

22.0ms

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

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune36.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	49	7	56

Merged error: 0.0b

Counts

56 → 7

Compiler

Compiled 441 to 332 computations (24.7% saved)

localize6.0ms (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))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `cbrt-unprod_binary64_781`
7×	`associate-r_binary64_693`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751` `add-sqr-sqrt_binary64_772`
4×	`associate-l_binary64_694`
3×	`sqrt-prod_binary64_766`
2×	`add-log-exp_binary64_787` `*-commutative_binary64_684`

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))

series76.0ms (3%)

Counts

2 → 6

Calls

2 calls:

39.0ms

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

36.0ms

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

simplify79.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune41.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	48	7	55

Merged error: 0b

Counts

55 → 7

Compiler

Compiled 499 to 394 computations (21% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite18.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_809` `add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
9×	`prod-exp_binary64_797` `pow-prod-down_binary64_819` `associate-r_binary64_693` `cbrt-unprod_binary64_781`
6×	`add-sqr-sqrt_binary64_772`
5×	`add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751`
3×	`sqrt-prod_binary64_766`
2×	`add-log-exp_binary64_787` `-commutative_binary64_684` `associate-l*_binary64_694`
1×	`unswap-sqr_binary64_719`

Counts

2 → 43

Calls

2 calls:

9.0ms

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

6.0ms

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

series78.0ms (3%)

Counts

2 → 6

Calls

2 calls:

42.0ms

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

35.0ms

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

simplify83.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5112	408

prune33.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

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

Merged error: 0b

Counts

56 → 7

Compiler

Compiled 458 to 318 computations (30.6% saved)

regimes31.0ms (1.2%)

Compiler: Compiled 128 to 112 computations (12.5% 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%)

sample1.3s (51.1%)

Algorithm

1×

intervals

Results

678.0ms	8000×	body	256	valid
122.0ms	8000×	pre	128	true

Compiler

Compiled 108 to 95 computations (12% saved)

Details

analyze2.0ms (0.1%)

sample32.0ms (1.2%)

simplify306.0ms (12%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

rewrite11.0ms (0.4%)

series60.0ms (2.3%)

simplify115.0ms (4.5%)

prune41.0ms (1.6%)

localize6.0ms (0.2%)

rewrite18.0ms (0.7%)

series62.0ms (2.4%)

simplify85.0ms (3.3%)

prune36.0ms (1.4%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series76.0ms (3%)

simplify79.0ms (3.1%)

prune41.0ms (1.6%)

localize6.0ms (0.2%)

rewrite18.0ms (0.7%)

series78.0ms (3%)

simplify83.0ms (3.3%)

prune33.0ms (1.3%)

regimes31.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (51.1%)

Profiling