Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50.4%	0.4%	49.2%	10
50.4%	0.2%	49.4%	11
50.4%	0.1%	49.5%	12
50.4%	0%	49.6%	13
50.4%	0%	49.6%	14

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample58.0ms (2.1%)

Algorithm

1×

intervals

Results

37.0ms	134×	body	1024	valid
8.0ms	64×	body	512	valid
4.0ms	15×	body	2048	valid
2.0ms	23×	body	256	valid
1.0ms	20×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify143.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5268	13

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

57.7b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.5b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_419` `add-sqr-sqrt_binary64_441`
3×	`add-log-exp_binary64_458` `cancel-sign-sub-inv_binary64_385`
2×	`add-cube-cbrt_binary64_454`
1×	`sinh-undef_binary64_612` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `flip3--_binary64_423` `distribute-lft-out--_binary64_371` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `diff-log_binary64_511` `flip--_binary64_394` `pow1_binary64_480`

Counts

1 → 17

Calls

1 calls:

6.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series22.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

22.0ms

(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4830	273
1	4830	273

prune16.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	2	21

Error

0.0b

Counts

21 → 2

Compiler

Compiled 271 to 134 computations (50.6% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(sinh.f64 x)

rewrite2.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64_419` `sinh-def_binary64_604` `add-log-exp_binary64_458` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series41.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(sinh.f64 x)

simplify56.0ms (2%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5429	98

prune10.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	10	1	11
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	10	3	13

Error

Counts

13 → 3

Compiler

Compiled 146 to 105 computations (28.1% saved)

localize13.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
0.1b	(*.f64 1/60 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite24.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_441`
19×	`associate-r_binary64_359`
13×	`add-exp-log_binary64_457`
10×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
8×	`unpow-prod-down_binary64_498`
7×	`unswap-sqr_binary64_387` `add-cbrt-cube_binary64_455`
6×	`prod-exp_binary64_468` `associate-l_binary64_360`
5×	`add-log-exp_binary64_458`
4×	`sqr-pow_binary64_391` `cube-prod_binary64_447`
3×	`pow1_binary64_480`
2×	`cbrt-unprod_binary64_452` `pow-exp_binary64_487` `pow-to-exp_binary64_488` `*-commutative_binary64_350`
1×	`flip3-+_binary64_422` `unpow3_binary64_485` `cube-mult_binary64_449` `sum-log_binary64_510` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

3 → 67

Calls

3 calls:

7.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(*.f64 1/60 (pow.f64 x 5))
6.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

series152.0ms (5.5%)

Counts

3 → 9

Calls

3 calls:

95.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
30.0ms	(*.f64 1/60 (pow.f64 x 5))
26.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5323	875

prune88.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1644 to 1192 computations (27.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(sinh.f64 x)
0.0b	(pow.f64 (sinh.f64 x) 3)
40.7b	(cbrt.f64 (pow.f64 (sinh.f64 x) 3))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_450`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
6×	`unpow-prod-down_binary64_498` `cube-prod_binary64_447`
4×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`sinh-def_binary64_604` `add-log-exp_binary64_458` `pow-unpow_binary64_496`
2×	`unpow3_binary64_485` `cube-mult_binary64_449` `sqr-pow_binary64_391` `cube-div_binary64_448`
1×	`pow1/3_binary64_501` `cbrt-div_binary64_451` `rem-cube-cbrt_binary64_442` `pow-exp_binary64_487` `rem-cbrt-cube_binary64_443` `pow-to-exp_binary64_488` `pow-pow_binary64_491`

Counts

3 → 54

Calls

3 calls:

3.0ms	(cbrt.f64 (pow.f64 (sinh.f64 x) 3))
3.0ms	(pow.f64 (sinh.f64 x) 3)
1.0ms	(sinh.f64 x)

series160.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

86.0ms	(pow.f64 (sinh.f64 x) 3)
37.0ms	(sinh.f64 x)
37.0ms	(cbrt.f64 (pow.f64 (sinh.f64 x) 3))

simplify42.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4945	563
1	4945	563

prune46.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	63	3	66

Error

Counts

66 → 3

Compiler

Compiled 777 to 544 computations (30% saved)

regimes38.0ms (1.4%)

Accuracy

Total 0.0b remaining (90.7%)

Threshold costs 0.0b (90.7%)

Compiler

Compiled 243 to 209 computations (14% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	9
1	7	9

end0.0ms (0%)

sample1.7s (60.7%)

Algorithm

1×

intervals

Results

968.0ms	3993×	body	1024	valid
252.0ms	2028×	body	512	valid
99.0ms	382×	body	2048	valid
73.0ms	948×	body	256	valid
25.0ms	649×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 86 to 76 computations (11.6% saved)

Details

analyze4.0ms (0.1%)

sample58.0ms (2.1%)

simplify143.0ms (5.2%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite7.0ms (0.3%)

series22.0ms (0.8%)

simplify78.0ms (2.8%)

prune16.0ms (0.6%)

localize4.0ms (0.1%)

rewrite2.0ms (0.1%)

series41.0ms (1.5%)

simplify56.0ms (2%)

prune10.0ms (0.4%)

localize13.0ms (0.5%)

rewrite24.0ms (0.9%)

series152.0ms (5.5%)

simplify57.0ms (2%)

prune88.0ms (3.2%)

localize7.0ms (0.2%)

rewrite9.0ms (0.3%)

series160.0ms (5.8%)

simplify42.0ms (1.5%)

prune46.0ms (1.7%)

regimes38.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (60.7%)

Profiling