Details

analyze337.0ms (11.2%)

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)

sample32.0ms (1.1%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	256	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify251.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (246.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	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

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 (*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

0.3b

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

rewrite41.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
7×	`add-sqr-sqrt_binary64_2146`
6×	`associate-l_binary64_2065`
5×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-r_binary64_2064`
2×	`add-log-exp_binary64_2163` `*-commutative_binary64_2055`
1×	`unswap-sqr_binary64_2092`

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)

series44.0ms (1.5%)

Error

0.2b

Counts

2 → 6

Calls

2 calls:

24.0ms

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

16.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify81.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune33.0ms (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 379 to 248 computations (34.6% 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 (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
7×	`associate-r_binary64_2064`
5×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`associate-l_binary64_2065`
3×	`sqrt-prod_binary64_2140`
2×	`add-log-exp_binary64_2163` `*-commutative_binary64_2055`

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)

series56.0ms (1.9%)

Error

0.0b

Counts

2 → 6

Calls

2 calls:

28.0ms

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

25.0ms

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

Compiler

Compiled 90 to 76 computations (15.6% saved)

simplify88.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5066	335

prune36.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	4	5
Picked	1	0	1
Done	1	0	1
Total	49	6	55

Error

Counts

55 → 6

Compiler

Compiled 443 to 327 computations (26.2% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b

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

0.3b

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

rewrite51.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
7×	`associate-r_binary64_2064`
5×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
4×	`associate-l_binary64_2065`
3×	`sqrt-prod_binary64_2140`
2×	`add-log-exp_binary64_2163` `*-commutative_binary64_2055`

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)

series48.0ms (1.6%)

Error

Counts

2 → 6

Calls

2 calls:

23.0ms

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

21.0ms

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

Compiler

Compiled 117 to 112 computations (4.3% saved)

simplify71.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune32.0ms (1.1%)

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

Error

Counts

54 → 6

Compiler

Compiled 483 to 348 computations (28% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

6×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `add-sqr-sqrt_binary64_2146` `associate-l_binary64_2065`
2×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
1×	`add-log-exp_binary64_2163` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055`

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 (0.9%)

Error

Counts

1 → 3

Calls

1 calls:

24.0ms

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

Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify59.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4846	174
1	4846	174

prune12.0ms (0.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Error

Counts

28 → 6

Compiler

Compiled 166 to 102 computations (38.6% saved)

regimes158.0ms (5.2%)

Accuracy

Total 0.3b remaining (99.2%)

Threshold costs 0.3b (99.2%)

Compiler

Compiled 1281 to 1024 computations (20.1% 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%)

sample1.5s (48.6%)

Algorithm

1×

intervals

Results

593.0ms	8000×	body	256	valid
113.0ms	8000×	pre	128	true

Compiler

Compiled 444 to 356 computations (19.8% saved)

Details

analyze337.0ms (11.2%)

sample32.0ms (1.1%)

simplify251.0ms (8.3%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite41.0ms (1.4%)

series44.0ms (1.5%)

simplify81.0ms (2.7%)

prune33.0ms (1.1%)

localize5.0ms (0.2%)

rewrite53.0ms (1.8%)

series56.0ms (1.9%)

simplify88.0ms (2.9%)

prune36.0ms (1.2%)

localize5.0ms (0.2%)

rewrite51.0ms (1.7%)

series48.0ms (1.6%)

simplify71.0ms (2.3%)

prune32.0ms (1.1%)

localize3.0ms (0.1%)

rewrite19.0ms (0.6%)

series26.0ms (0.9%)

simplify59.0ms (1.9%)

prune12.0ms (0.4%)

regimes158.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (48.6%)

Profiling