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)

sample34.0ms (1.6%)

Algorithm

1×

intervals

Results

18.0ms	189×	body	160	valid
8.0ms	67×	body	320	valid
3.0ms	256×	pre	80	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify278.0ms (13.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (269.0ms)

Iter	Nodes	Cost
0	4825	7
1	4825	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 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

0.3b

(*.f64 t (*.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)

series6.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

3.0ms

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

2.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

simplify105.0ms (5%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4869	290
1	4869	290

prune33.0ms (1.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	36	6	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	7	43

Merged error: 0.0b

Counts

43 → 7

Compiler

Compiled 381 to 263 computations (31% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.3%)

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)

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify103.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4878	176
1	4878	176

prune16.0ms (0.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	22	7	29

Merged error: 0b

Counts

29 → 7

Compiler

Compiled 206 to 132 computations (35.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite15.0ms (0.7%)

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

5.0ms

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

series7.0ms (0.3%)

Counts

2 → 6

Calls

2 calls:

3.0ms

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

3.0ms

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

simplify105.0ms (5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4916	395
1	4916	395

prune29.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	49	6	55

Merged error: 0b

Counts

55 → 6

Compiler

Compiled 469 to 367 computations (21.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.4b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (*.f64 t 2028240960365167/10141204801825835211973625643008))

rewrite8.0ms (0.4%)

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))

series3.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify85.0ms (4%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5084	205

prune20.0ms (1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

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

Merged error: 0b

Counts

43 → 6

Compiler

Compiled 241 to 196 computations (18.7% saved)

regimes56.0ms (2.7%)

Compiler: Compiled 107 to 92 computations (14% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end0.0ms (0%)

sample1.1s (54.8%)

Algorithm

1×

intervals

Results

469.0ms	5937×	body	160	valid
242.0ms	2063×	body	320	valid
99.0ms	8000×	pre	80	true

Compiler

Compiled 88 to 76 computations (13.6% saved)

Details

analyze2.0ms (0.1%)

sample34.0ms (1.6%)

simplify278.0ms (13.3%)

prune4.0ms (0.2%)

localize3.0ms (0.2%)

rewrite10.0ms (0.5%)

series6.0ms (0.3%)

simplify105.0ms (5%)

prune33.0ms (1.6%)

localize3.0ms (0.2%)

rewrite6.0ms (0.3%)

series3.0ms (0.2%)

simplify103.0ms (4.9%)

prune16.0ms (0.8%)

localize5.0ms (0.2%)

rewrite15.0ms (0.7%)

series7.0ms (0.3%)

simplify105.0ms (5%)

prune29.0ms (1.4%)

localize3.0ms (0.1%)

rewrite8.0ms (0.4%)

series3.0ms (0.2%)

simplify85.0ms (4%)

prune20.0ms (1%)

regimes56.0ms (2.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.1s (54.8%)

Profiling