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 (1.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	256	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify337.0ms (14.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (248.0ms)

Iter	Nodes	Cost
0	4827	7
1	4827	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

Error

0.4b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
7×	`add-sqr-sqrt_binary64_1123`
6×	`associate-l_binary64_1042`
5×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `associate-r_binary64_1041` `pow-prod-down_binary64_1172`
2×	`*-commutative_binary64_1032` `add-log-exp_binary64_1140`
1×	`unswap-sqr_binary64_1069`

Counts

2 → 36

Calls

4 calls:

6.0ms	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
4.0ms	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
0.0ms	(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)
0.0ms	(.f64 t (.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))

series46.0ms (2%)

Counts

2 → 6

Calls

2 calls:

26.0ms

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

19.0ms

(*.f64 t 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)

Compiler

Compiled 60 to 54 computations (10% saved)

simplify85.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4984	290
1	4984	290

prune44.0ms (1.9%)

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

Error

0.0b

Counts

43 → 8

Compiler

Compiled 400 to 280 computations (30% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))
0.2b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.2b	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.3b	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
9×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
7×	`associate-r_binary64_1041`
5×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`associate-l_binary64_1042`
3×	`sqrt-prod_binary64_1117`
2×	`*-commutative_binary64_1032` `add-log-exp_binary64_1140`

Counts

2 → 42

Calls

4 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))
0.0ms	(.f64 (.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.0ms	(.f64 t (.f64 (*.f64 t 2028240960365167/10141204801825835211973625643008) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064)))

series41.0ms (1.8%)

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 60 to 54 computations (10% saved)

simplify86.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5066	335

prune39.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	48	8	56

Error

Counts

56 → 8

Compiler

Compiled 468 to 353 computations (24.6% saved)

localize6.0ms (0.2%)

Local error

Found 4 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))
0.2b	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.2b	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
9×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `pow-prod-down_binary64_1172`
7×	`associate-r_binary64_1041`
5×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
4×	`associate-l_binary64_1042`
3×	`sqrt-prod_binary64_1117`
2×	`*-commutative_binary64_1032` `add-log-exp_binary64_1140`

Counts

2 → 42

Calls

4 calls:

8.0ms	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
5.0ms	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))
0.0ms	(.f64 (.f64 t (*.f64 t 2028240960365167/10141204801825835211973625643008)) (sqrt.f64 4113761393303014933413986937889/102844034832575377634685573909834406561420991602098741459288064))
0.0ms	(.f64 t (.f64 t 2028240960365167/10141204801825835211973625643008))

series48.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

24.0ms

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

24.0ms

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

Compiler

Compiled 78 to 78 computations (0% saved)

simplify72.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4959	395
1	4959	395

prune38.0ms (1.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Error

Counts

56 → 8

Compiler

Compiled 511 to 401 computations (21.5% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b

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

0.3b

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

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137`
3×	`add-sqr-sqrt_binary64_1123` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `associate-r_binary64_1041` `pow-prod-down_binary64_1172`
2×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
1×	`-commutative_binary64_1032` `add-log-exp_binary64_1140` `associate-l*_binary64_1042` `unswap-sqr_binary64_1069`

Counts

1 → 19

Calls

2 calls:

6.0ms

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

0.0ms

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

series27.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

27.0ms

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

Compiler

Compiled 30 to 30 computations (0% saved)

simplify86.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5392	176

prune12.0ms (0.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	22	8	30

Error

Counts

30 → 8

Compiler

Compiled 164 to 100 computations (39% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	125	277
1	125	277

regimes73.0ms (3.1%)

Compiler: Compiled 409 to 347 computations (15.2% saved)

bsearch0.0ms (0%)

regimes11.0ms (0.5%)

Compiler: Compiled 15 to 16 computations (-6.7% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.3%)

Accuracy

Total 0.4b remaining (99.4%)

Threshold costs 0.4b (99.4%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 13 to 12 computations (7.7% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	18
1	13	18

end0.0ms (0%)

sample1.2s (49.9%)

Algorithm

1×

intervals

Results

625.0ms	8000×	body	256	valid
109.0ms	8000×	pre	128	true

Compiler

Compiled 234 to 198 computations (15.4% saved)

Pareto

0.33323766644677116

Details

analyze2.0ms (0.1%)

sample34.0ms (1.5%)

simplify337.0ms (14.4%)

prune4.0ms (0.2%)

localize3.0ms (0.1%)

rewrite11.0ms (0.5%)

series46.0ms (2%)

simplify85.0ms (3.6%)

prune44.0ms (1.9%)

localize6.0ms (0.2%)

rewrite17.0ms (0.7%)

series41.0ms (1.8%)

simplify86.0ms (3.7%)

prune39.0ms (1.7%)

localize6.0ms (0.2%)

rewrite16.0ms (0.7%)

series48.0ms (2.1%)

simplify72.0ms (3.1%)

prune38.0ms (1.6%)

localize3.0ms (0.1%)

rewrite7.0ms (0.3%)

series27.0ms (1.2%)

simplify86.0ms (3.7%)

prune12.0ms (0.5%)

simplify8.0ms (0.4%)

regimes73.0ms (3.1%)

bsearch0.0ms (0%)

regimes11.0ms (0.5%)

bsearch0.0ms (0%)

regimes7.0ms (0.3%)

bsearch2.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (49.9%)

Profiling