Details

analyze162.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5268	13
0	1	1
1	1	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)

sample53.0ms (2.1%)

Algorithm

1×

intervals

Results

32.0ms	130×	body	1024	valid
7.0ms	60×	body	512	valid
4.0ms	17×	body	2048	valid
2.0ms	31×	body	256	valid
1.0ms	18×	body	128	valid

Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify63.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5268	13

prune3.0ms (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

58.5b

Counts

2 → 1

Compiler

Compiled 16 to 14 computations (12.5% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

4.7b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
3×	`add-log-exp_binary64_1140` `cancel-sign-sub-inv_binary64_1067`
2×	`add-cube-cbrt_binary64_1136`
1×	`diff-log_binary64_1193` `difference-of-squares_binary64_1070` `add-exp-log_binary64_1139` `pow1_binary64_1162` `sub-neg_binary64_1094` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `add-cbrt-cube_binary64_1137` `sinh-undef_binary64_1294`

Counts

1 → 17

Calls

1 calls:

5.0ms

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

series21.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

21.0ms

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

simplify77.0ms (3%)

Algorithm

1×	egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4830	273
1	4830	273

prune20.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	18	2	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	3	21

Error

Counts

21 → 3

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×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136` `add-cbrt-cube_binary64_1137` `sinh-def_binary64_1286`

Counts

1 → 8

Calls

1 calls:

1.0ms

(sinh.f64 x)

series41.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(sinh.f64 x)

simplify59.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

11 → 11

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5429	98

prune9.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	11	0	11
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	11	3	14

Error

Counts

14 → 3

Compiler

Compiled 137 to 96 computations (29.9% saved)

localize11.0ms (0.4%)

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))

rewrite27.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_1123`
19×	`associate-r_binary64_1041`
13×	`add-exp-log_binary64_1139`
10×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
8×	`unpow-prod-down_binary64_1180`
7×	`add-cbrt-cube_binary64_1137` `unswap-sqr_binary64_1069`
6×	`prod-exp_binary64_1150` `associate-l_binary64_1042`
5×	`add-log-exp_binary64_1140`
4×	`cube-prod_binary64_1129` `sqr-pow_binary64_1073`
3×	`pow1_binary64_1162`
2×	`*-commutative_binary64_1032` `pow-exp_binary64_1169` `cbrt-unprod_binary64_1134` `pow-to-exp_binary64_1170`
1×	`cube-mult_binary64_1131` `sum-log_binary64_1192` `flip3-+_binary64_1104` `unpow3_binary64_1167` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

3 → 67

Calls

3 calls:

9.0ms	(*.f64 1/60 (pow.f64 x 5))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))

series138.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

81.0ms	(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 1/60 (pow.f64 x 5)))
31.0ms	(*.f64 1/60 (pow.f64 x 5))
26.0ms	(*.f64 1/3 (pow.f64 x 3))

simplify62.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5323	875

prune88.0ms (3.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1635 to 1183 computations (27.6% saved)

regimes28.0ms (1.1%)

Accuracy

Total 0.0b remaining (71.7%)

Threshold costs 0.0b (71.7%)

Compiler

Compiled 123 to 107 computations (13% 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 (65.5%)

Algorithm

1×

intervals

Results

972.0ms	3908×	body	1024	valid
249.0ms	1978×	body	512	valid
121.0ms	457×	body	2048	valid
77.0ms	988×	body	256	valid
26.0ms	669×	body	128	valid

Compiler

Compiled 46 to 42 computations (8.7% saved)

Details

analyze162.0ms (6.3%)

sample53.0ms (2.1%)

simplify63.0ms (2.5%)

prune3.0ms (0.1%)

localize6.0ms (0.2%)

rewrite6.0ms (0.3%)

series21.0ms (0.8%)

simplify77.0ms (3%)

prune20.0ms (0.8%)

localize4.0ms (0.1%)

rewrite2.0ms (0.1%)

series41.0ms (1.6%)

simplify59.0ms (2.3%)

prune9.0ms (0.3%)

localize11.0ms (0.4%)

rewrite27.0ms (1%)

series138.0ms (5.4%)

simplify62.0ms (2.4%)

prune88.0ms (3.4%)

regimes28.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.7s (65.5%)

Profiling