Details

analyze336.0ms (10.4%)

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 (1.1%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify252.0ms (7.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

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:

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

0.3b

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

rewrite45.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
7×	`add-sqr-sqrt_binary64_1464`
6×	`associate-l_binary64_1383`
5×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r_binary64_1382`
2×	`add-log-exp_binary64_1481` `*-commutative_binary64_1373`
1×	`unswap-sqr_binary64_1410`

Counts

2 → 36

Calls

2 calls:

5.0ms

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

3.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 356 to 232 computations (34.8% saved)

series46.0ms (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)

simplify83.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune34.0ms (1%)

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

Error

0.0b

Counts

43 → 6

Compiler

Compiled 379 to 249 computations (34.3% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `add-sqr-sqrt_binary64_1464` `associate-l_binary64_1383`
2×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
1×	`add-log-exp_binary64_1481` `unswap-sqr_binary64_1410` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

1 → 19

Calls

1 calls:

5.0ms

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

Compiler

Compiled 193 to 113 computations (41.5% saved)

series26.0ms (0.8%)

Error

0.0b

Counts

1 → 3

Calls

1 calls:

24.0ms

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

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4846	174
1	4846	174

prune16.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	22	6	28

Error

0.0b

Counts

28 → 6

Compiler

Compiled 206 to 136 computations (34% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite55.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383`
5×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
3×	`sqrt-prod_binary64_1458`
2×	`add-log-exp_binary64_1481` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

2 → 42

Calls

2 calls:

8.0ms

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

5.0ms

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

Compiler

Compiled 596 to 451 computations (24.3% saved)

series56.0ms (1.7%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

27.0ms

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

25.0ms

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

Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4869	390
1	4869	390

prune38.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	4	4
Picked	0	1	1
Done	1	0	1
Total	46	8	54

Error

Counts

54 → 8

Compiler

Compiled 507 to 372 computations (26.6% 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)))

rewrite53.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
7×	`associate-r_binary64_1382`
5×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`associate-l_binary64_1383`
3×	`sqrt-prod_binary64_1458`
2×	`add-log-exp_binary64_1481` `*-commutative_binary64_1373`

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))

Compiler

Compiled 605 to 473 computations (21.8% saved)

series44.0ms (1.4%)

Error

Counts

2 → 6

Calls

2 calls:

25.0ms

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

16.0ms

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

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify88.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5066	335

prune26.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	48	8	56

Error

Counts

56 → 8

Compiler

Compiled 396 to 288 computations (27.3% saved)

regimes198.0ms (6.2%)

Accuracy

Total 0.3b remaining (99.8%)

Threshold costs 0.3b (99.8%)

Compiler

Compiled 1629 to 1292 computations (20.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (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 (50.8%)

Algorithm

1×

intervals

Results

617.0ms	8000×	body	256	valid
110.0ms	8000×	pre	128	true

Compiler

Compiled 563 to 448 computations (20.4% saved)

Details

analyze336.0ms (10.4%)

sample37.0ms (1.1%)

simplify252.0ms (7.8%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

rewrite45.0ms (1.4%)

series46.0ms (1.4%)

simplify83.0ms (2.6%)

prune34.0ms (1%)

localize3.0ms (0.1%)

rewrite18.0ms (0.6%)

series26.0ms (0.8%)

simplify62.0ms (1.9%)

prune16.0ms (0.5%)

localize5.0ms (0.2%)

rewrite55.0ms (1.7%)

series56.0ms (1.7%)

simplify48.0ms (1.5%)

prune38.0ms (1.2%)

localize5.0ms (0.2%)

rewrite53.0ms (1.7%)

series44.0ms (1.4%)

simplify88.0ms (2.7%)

prune26.0ms (0.8%)

regimes198.0ms (6.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.6s (50.8%)

Profiling