Details

analyze339.0ms (10.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 23 to 20 computations (13% saved)

sample37.0ms (1.2%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	256	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify248.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (242.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	7

prune4.0ms (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

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)

rewrite44.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
7×	`add-sqr-sqrt_binary64_1805`
6×	`associate-l_binary64_1724`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723`
2×	`add-log-exp_binary64_1822` `*-commutative_binary64_1714`
1×	`unswap-sqr_binary64_1751`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

4.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 356 to 232 computations (34.8% saved)

series45.0ms (1.4%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

25.0ms

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

16.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify82.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune34.0ms (1.1%)

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

Error

0.0b

Counts

43 → 7

Compiler

Compiled 378 to 249 computations (34.1% 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)))

0.2b

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

rewrite54.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
7×	`associate-r_binary64_1723`
5×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`associate-l_binary64_1724`
3×	`sqrt-prod_binary64_1799`
2×	`add-log-exp_binary64_1822` `*-commutative_binary64_1714`

Counts

2 → 42

Calls

2 calls:

7.0ms

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

6.0ms

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

Compiler

Compiled 605 to 473 computations (21.8% saved)

series45.0ms (1.4%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

25.0ms

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

17.0ms

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

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify88.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5066	335

prune32.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	48	7	55

Error

0.0b

Counts

55 → 7

Compiler

Compiled 435 to 320 computations (26.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.2b

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

rewrite50.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
9×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
7×	`associate-r_binary64_1723`
5×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
4×	`associate-l_binary64_1724`
3×	`sqrt-prod_binary64_1799`
2×	`add-log-exp_binary64_1822` `*-commutative_binary64_1714`

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))

Compiler

Compiled 596 to 451 computations (24.3% saved)

series55.0ms (1.7%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

26.0ms

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

26.0ms

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

Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune35.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	48	7	55

Error

Counts

55 → 7

Compiler

Compiled 486 to 354 computations (27.2% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `add-sqr-sqrt_binary64_1805` `associate-l_binary64_1724`
2×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
1×	`add-log-exp_binary64_1822` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714`

Counts

1 → 19

Calls

1 calls:

5.0ms

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

Compiler

Compiled 193 to 113 computations (41.5% saved)

series27.0ms (0.8%)

Error

Counts

1 → 3

Calls

1 calls:

25.0ms

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

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify60.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4846	174
1	4846	174

prune12.0ms (0.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	22	7	29

Error

Counts

29 → 7

Compiler

Compiled 166 to 102 computations (38.6% saved)

regimes178.0ms (5.6%)

Accuracy

Total 0.3b remaining (99.4%)

Threshold costs 0.3b (99.4%)

Compiler

Compiled 1521 to 1226 computations (19.4% 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%)

sample1.6s (50.6%)

Algorithm

1×

intervals

Results

647.0ms	8000×	body	256	valid
113.0ms	8000×	pre	128	true

Compiler

Compiled 527 to 426 computations (19.2% saved)

Details

analyze339.0ms (10.6%)

sample37.0ms (1.2%)

simplify248.0ms (7.8%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

rewrite44.0ms (1.4%)

series45.0ms (1.4%)

simplify82.0ms (2.6%)

prune34.0ms (1.1%)

localize6.0ms (0.2%)

rewrite54.0ms (1.7%)

series45.0ms (1.4%)

simplify88.0ms (2.8%)

prune32.0ms (1%)

localize5.0ms (0.2%)

rewrite50.0ms (1.6%)

series55.0ms (1.7%)

simplify72.0ms (2.2%)

prune35.0ms (1.1%)

localize3.0ms (0.1%)

rewrite19.0ms (0.6%)

series27.0ms (0.8%)

simplify60.0ms (1.9%)

prune12.0ms (0.4%)

regimes178.0ms (5.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (50.6%)

Profiling