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)

sample30.0ms (1.6%)

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)

simplify148.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5064	7

prune4.0ms (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 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

series63.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

40.0ms

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

23.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify113.0ms (6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4807	290
1	4807	290

prune33.0ms (1.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	6	43

Merged error: 0b

Counts

43 → 6

Compiler

Compiled 380 to 265 computations (30.3% saved)

localize5.0ms (0.3%)

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)))

rewrite20.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
7×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`associate-l_binary64`
3×	`sqrt-prod_binary64`
2×	`add-log-exp_binary64` `*-commutative_binary64`

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))

series60.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

38.0ms

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

22.0ms

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

simplify81.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4812	335
1	4812	335

prune35.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0b

Counts

54 → 6

Compiler

Compiled 436 to 327 computations (25% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 (.f64 t t) 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite7.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1×	`add-log-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series38.0ms (2%)

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify72.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4787	176
1	4787	176

prune15.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	22	6	28

Merged error: 0b

Counts

28 → 6

Compiler

Compiled 197 to 127 computations (35.5% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.5b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))

rewrite9.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`pow1_binary64`
17×	`pow-prod-down_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-up_binary64` `pow-sqr_binary64`
2×	`pow-plus_binary64`
1×	`-un-lft-identity_binary64` `add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `associate-l_binary64` `add-sqr-sqrt_binary64` `pow2_binary64` `-commutative_binary64`

Counts

1 → 34

Calls

1 calls:

7.0ms

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

series39.0ms (2.1%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify59.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4828	205
1	4828	205

prune20.0ms (1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	37	6	43

Merged error: 0b

Counts

43 → 6

Compiler

Compiled 241 to 185 computations (23.2% saved)

regimes26.0ms (1.4%)

Compiler: Compiled 100 to 84 computations (16% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample991.0ms (52.5%)

Algorithm

1×

intervals

Results

631.0ms	8000×	body	256	valid
117.0ms	8000×	pre	128	true

Compiler

Compiled 94 to 81 computations (13.8% saved)

Details

analyze2.0ms (0.1%)

sample30.0ms (1.6%)

simplify148.0ms (7.8%)

prune4.0ms (0.2%)

localize3.0ms (0.2%)

rewrite10.0ms (0.5%)

series63.0ms (3.3%)

simplify113.0ms (6%)

prune33.0ms (1.8%)

localize5.0ms (0.3%)

rewrite20.0ms (1%)

series60.0ms (3.2%)

simplify81.0ms (4.3%)

prune35.0ms (1.9%)

localize3.0ms (0.2%)

rewrite7.0ms (0.4%)

series38.0ms (2%)

simplify72.0ms (3.8%)

prune15.0ms (0.8%)

localize3.0ms (0.2%)

rewrite9.0ms (0.5%)

series39.0ms (2.1%)

simplify59.0ms (3.1%)

prune20.0ms (1%)

regimes26.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample991.0ms (52.5%)

Profiling