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)

simplify303.0ms (13.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	5064	7

prune3.0ms (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: 0.3b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% 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)

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146`
7×	`add-sqr-sqrt_binary64_1109`
6×	`associate-l_binary64_1031`
5×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
4×	`associate-r_binary64_1030` `cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
2×	`*-commutative_binary64_1021` `add-log-exp_binary64_1124`
1×	`unswap-sqr_binary64_1056`

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)

simplify114.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4808	290
1	4808	290

prune37.0ms (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 398 to 277 computations (30.4% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146`
3×	`associate-r_binary64_1030` `add-sqr-sqrt_binary64_1109` `cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
2×	`*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
1×	`-commutative_binary64_1021` `unswap-sqr_binary64_1056` `associate-l*_binary64_1031` `add-log-exp_binary64_1124`

Counts

1 → 19

Calls

1 calls:

6.0ms

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

series37.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

37.0ms

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

simplify73.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4789	176
1	4789	176

prune19.0ms (0.8%)

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 215 to 143 computations (33.5% 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))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146`
9×	`cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
7×	`associate-r_binary64_1030`
5×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
4×	`associate-l_binary64_1031`
3×	`sqrt-prod_binary64_1103`
2×	`*-commutative_binary64_1021` `add-log-exp_binary64_1124`

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))

series74.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

39.0ms

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

34.0ms

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

simplify78.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4969	395
1	4969	395

prune38.0ms (1.6%)

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 498 to 392 computations (21.3% saved)

localize5.0ms (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))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64_1121` `add-exp-log_binary64_1123` `pow1_binary64_1146`
9×	`cbrt-unprod_binary64_1118` `pow-prod-down_binary64_1156` `prod-exp_binary64_1134`
7×	`associate-r_binary64_1030`
5×	`add-sqr-sqrt_binary64_1109` `*-un-lft-identity_binary64_1088` `add-cube-cbrt_binary64_1120`
4×	`associate-l_binary64_1031`
3×	`sqrt-prod_binary64_1103`
2×	`*-commutative_binary64_1021` `add-log-exp_binary64_1124`

Counts

2 → 42

Calls

2 calls:

8.0ms

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

7.0ms

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

series64.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

42.0ms

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

22.0ms

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

simplify82.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4814	335
1	4814	335

prune27.0ms (1.2%)

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)

regimes88.0ms (3.8%)

Compiler: Compiled 609 to 506 computations (16.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	6	7

end0.0ms (0%)

sample1.1s (48.2%)

Algorithm

1×

intervals

Results

609.0ms	8000×	body	256	valid
121.0ms	8000×	pre	128	true

Compiler

Compiled 221 to 184 computations (16.7% saved)

Details

analyze2.0ms (0.1%)

sample29.0ms (1.2%)

simplify303.0ms (13.1%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series60.0ms (2.6%)

simplify114.0ms (4.9%)

prune37.0ms (1.6%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series37.0ms (1.6%)

simplify73.0ms (3.1%)

prune19.0ms (0.8%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series74.0ms (3.2%)

simplify78.0ms (3.4%)

prune38.0ms (1.6%)

localize5.0ms (0.2%)

rewrite18.0ms (0.8%)

series64.0ms (2.8%)

simplify82.0ms (3.5%)

prune27.0ms (1.2%)

regimes88.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (48.2%)

Profiling