Details

analyze3.0ms (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

19.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify309.0ms (13.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (146.0ms)

Iter	Nodes	Cost
0	5064	7

prune5.0ms (0.2%)

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 34 to 29 computations (14.7% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b

(*.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_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
7×	`add-sqr-sqrt_binary64_789`
6×	`associate-l_binary64_708`
5×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
4×	`associate-r_binary64_707` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
2×	`*-commutative_binary64_698` `add-log-exp_binary64_806`
1×	`unswap-sqr_binary64_735`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series60.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

37.0ms

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

23.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify122.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune97.0ms (4.3%)

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 1126 to 838 computations (25.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
3×	`associate-r_binary64_707` `cbrt-unprod_binary64_800` `prod-exp_binary64_816` `add-sqr-sqrt_binary64_789` `pow-prod-down_binary64_838`
2×	`*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
1×	`associate-l_binary64_708` `unswap-sqr_binary64_735` `*-commutative_binary64_698` `add-log-exp_binary64_806`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series42.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify75.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune33.0ms (1.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	23	7	30

Merged error: 0.0b

Counts

30 → 7

Compiler

Compiled 365 to 263 computations (27.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

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

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
9×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
7×	`associate-r_binary64_707`
5×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708`
3×	`sqrt-prod_binary64_783`
2×	`*-commutative_binary64_698` `add-log-exp_binary64_806`

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))

series78.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

41.0ms

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

36.0ms

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

simplify79.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune54.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

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

Merged error: 0b

Counts

55 → 8

Compiler

Compiled 689 to 555 computations (19.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_805` `pow1_binary64_828` `add-cbrt-cube_binary64_803`
9×	`cbrt-unprod_binary64_800` `prod-exp_binary64_816` `pow-prod-down_binary64_838`
7×	`associate-r_binary64_707`
5×	`add-sqr-sqrt_binary64_789` `*-un-lft-identity_binary64_767` `add-cube-cbrt_binary64_802`
4×	`associate-l_binary64_708`
3×	`sqrt-prod_binary64_783`
2×	`*-commutative_binary64_698` `add-log-exp_binary64_806`

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))

series59.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

36.0ms

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

22.0ms

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

simplify83.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune29.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	48	8	56

Merged error: 0b

Counts

56 → 8

Compiler

Compiled 396 to 294 computations (25.8% saved)

regimes30.0ms (1.3%)

Compiler: Compiled 136 to 116 computations (14.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample1.0s (44.3%)

Algorithm

1×

intervals

Results

630.0ms	8000×	body	256	valid
119.0ms	8000×	pre	128	true

Compiler

Compiled 110 to 95 computations (13.6% saved)

Details

analyze3.0ms (0.1%)

sample29.0ms (1.3%)

simplify309.0ms (13.6%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

rewrite12.0ms (0.5%)

series60.0ms (2.6%)

simplify122.0ms (5.4%)

prune97.0ms (4.3%)

localize3.0ms (0.1%)

rewrite8.0ms (0.3%)

series42.0ms (1.9%)

simplify75.0ms (3.3%)

prune33.0ms (1.5%)

localize5.0ms (0.2%)

rewrite18.0ms (0.8%)

series78.0ms (3.4%)

simplify79.0ms (3.5%)

prune54.0ms (2.4%)

localize6.0ms (0.2%)

rewrite19.0ms (0.8%)

series59.0ms (2.6%)

simplify83.0ms (3.6%)

prune29.0ms (1.3%)

regimes30.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (44.3%)

Profiling