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 (1.2%)

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)

simplify321.0ms (13.5%)

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: 0.4b

Counts

2 → 1

Compiler

Compiled 34 to 29 computations (14.7% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
7×	`add-sqr-sqrt_binary64_445`
6×	`associate-l_binary64_364`
5×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
4×	`pow-prod-down_binary64_494` `prod-exp_binary64_472` `associate-r_binary64_363` `cbrt-unprod_binary64_456`
2×	`*-commutative_binary64_354` `add-log-exp_binary64_462`
1×	`unswap-sqr_binary64_391`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series60.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

37.0ms

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

23.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify114.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune109.0ms (4.6%)

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 1327 to 1000 computations (24.6% saved)

localize5.0ms (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)))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
9×	`pow-prod-down_binary64_494` `prod-exp_binary64_472` `cbrt-unprod_binary64_456`
7×	`associate-r_binary64_363`
5×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
4×	`associate-l_binary64_364`
3×	`sqrt-prod_binary64_439`
2×	`*-commutative_binary64_354` `add-log-exp_binary64_462`

Counts

2 → 42

Calls

2 calls:

11.0ms

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

7.0ms

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

series63.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

41.0ms

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

22.0ms

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

simplify84.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune57.0ms (2.4%)

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 667 to 518 computations (22.3% 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))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
9×	`pow-prod-down_binary64_494` `prod-exp_binary64_472` `cbrt-unprod_binary64_456`
7×	`associate-r_binary64_363`
5×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458` `add-sqr-sqrt_binary64_445`
4×	`associate-l_binary64_364`
3×	`sqrt-prod_binary64_439`
2×	`*-commutative_binary64_354` `add-log-exp_binary64_462`

Counts

2 → 42

Calls

2 calls:

9.0ms

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

6.0ms

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

series79.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

43.0ms

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

35.0ms

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

simplify82.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune49.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	47	8	55

Merged error: 0b

Counts

55 → 8

Compiler

Compiled 628 to 505 computations (19.6% saved)

localize5.0ms (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)

rewrite20.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
9×	`pow-prod-down_binary64_494` `prod-exp_binary64_472` `associate-r_binary64_363` `cbrt-unprod_binary64_456`
6×	`add-sqr-sqrt_binary64_445`
5×	`*-un-lft-identity_binary64_423` `add-cube-cbrt_binary64_458`
3×	`sqrt-prod_binary64_439`
2×	`associate-l_binary64_364` `*-commutative_binary64_354` `add-log-exp_binary64_462`
1×	`unswap-sqr_binary64_391`

Counts

2 → 43

Calls

2 calls:

10.0ms

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

7.0ms

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

series70.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

36.0ms

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

34.0ms

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

simplify88.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5112	408

prune33.0ms (1.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	49	8	57

Merged error: 0b

Counts

57 → 8

Compiler

Compiled 458 to 318 computations (30.6% saved)

regimes32.0ms (1.3%)

Compiler: Compiled 144 to 126 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%)

sample1.0s (42.4%)

Algorithm

1×

intervals

Results

620.0ms	8000×	body	256	valid
119.0ms	8000×	pre	128	true

Compiler

Compiled 116 to 102 computations (12.1% saved)

Details

analyze2.0ms (0.1%)

sample29.0ms (1.2%)

simplify321.0ms (13.5%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

rewrite12.0ms (0.5%)

series60.0ms (2.5%)

simplify114.0ms (4.8%)

prune109.0ms (4.6%)

localize5.0ms (0.2%)

rewrite21.0ms (0.9%)

series63.0ms (2.6%)

simplify84.0ms (3.5%)

prune57.0ms (2.4%)

localize6.0ms (0.2%)

rewrite18.0ms (0.8%)

series79.0ms (3.3%)

simplify82.0ms (3.5%)

prune49.0ms (2.1%)

localize5.0ms (0.2%)

rewrite20.0ms (0.8%)

series70.0ms (2.9%)

simplify88.0ms (3.7%)

prune33.0ms (1.4%)

regimes32.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (42.4%)

Profiling