Details

analyze310.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22
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%	1.6%	48.5%	9
50.4%	1.2%	48.5%	10
50.4%	1.2%	48.5%	11
50.4%	1.1%	48.6%	12
50.4%	1%	48.6%	13
50.5%	0.9%	48.6%	14

Compiler

Compiled 14 to 8 computations (42.9% saved)

sample113.0ms (1.6%)

Algorithm

1×

intervals

Results

64.0ms	126×	body	1024	valid
20.0ms	56×	body	512	valid
7.0ms	11×	body	2048	valid
5.0ms	30×	body	256	valid
2.0ms	33×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (115.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22

prune4.0ms (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

56.5b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize13.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.3b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
5.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite189.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`*-un-lft-identity_binary64_1442`
31×	`add-sqr-sqrt_binary64_1464`
30×	`times-frac_binary64_1448`
17×	`add-cube-cbrt_binary64_1477`
8×	`cosh-undef_binary64_1636` `distribute-lft-out_binary64_1393`
7×	`sinh-undef_binary64_1635` `add-log-exp_binary64_1481` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
6×	`associate-/l*_binary64_1387`
5×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/r*_binary64_1386`
3×	`pow1_binary64_1503` `cancel-sign-sub-inv_binary64_1408`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `associate-/l/_binary64_1389` `flip3-+_binary64_1445` `associate-/r/_binary64_1388` `flip-+_binary64_1416`
1×	`diff-log_binary64_1534` `sub-neg_binary64_1435` `tanh-undef_binary64_1637` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

3 → 89

Calls

3 calls:

22.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
10.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
8.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1999 to 313 computations (84.3% saved)

series266.0ms (3.8%)

Error

1.1b

Counts

3 → 18

Calls

3 calls:

135.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
52.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
39.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify144.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5039	2484

prune152.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	3	108

Error

Counts

108 → 3

Compiler

Compiled 2082 to 413 computations (80.2% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

1×	`tanh-def-c_binary64_1631` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `pow1_binary64_1503` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`

Counts

1 → 10

Calls

1 calls:

2.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series106.0ms (1.5%)

Error

Counts

1 → 6

Calls

1 calls:

97.0ms

(tanh.f64 x)

Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify64.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4965	163
1	4965	163

prune19.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Error

Counts

19 → 3

Compiler

Compiled 140 to 87 computations (37.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(sinh.f64 x)
1.3b	(/.f64 (sinh.f64 x) (cosh.f64 x))

rewrite53.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
9×	`times-frac_binary64_1448`
4×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`associate-/l_binary64_1387` `associate-/r_binary64_1386`
2×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `sinh-def_binary64_1627`
1×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l/_binary64_1389` `cosh-def_binary64_1628` `associate-/r/_binary64_1388`

Counts

2 → 37

Calls

2 calls:

6.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
2.0ms	(sinh.f64 x)

Compiler

Compiled 426 to 119 computations (72.1% saved)

series263.0ms (3.8%)

Error

Counts

2 → 12

Calls

2 calls:

179.0ms	(/.f64 (sinh.f64 x) (cosh.f64 x))
65.0ms	(sinh.f64 x)

Compiler

Compiled 337 to 241 computations (28.5% saved)

simplify130.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4874	615
1	4874	615

prune51.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 522 to 193 computations (63% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
0.0b	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
0.1b	(*.f64 (pow.f64 x 5) 2/15)
0.1b	(*.f64 1/3 (pow.f64 x 3))

rewrite225.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

23×	`add-sqr-sqrt_binary64_1464`
15×	`associate-r_binary64_1382`
14×	`add-exp-log_binary64_1480`
11×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
10×	`associate-l_binary64_1383`
8×	`add-cbrt-cube_binary64_1478` `unpow-prod-down_binary64_1521`
7×	`unswap-sqr_binary64_1410`
6×	`prod-exp_binary64_1491`
4×	`pow1_binary64_1503` `cube-prod_binary64_1470` `sqr-pow_binary64_1414`
2×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `diff-log_binary64_1534` `sum-log_binary64_1533` `sub-neg_binary64_1435` `associate-+l+_binary64_1375` `cancel-sign-sub-inv_binary64_1408`
1×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-+l-_binary64_1377` `+-commutative_binary64_1372` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 83

Calls

4 calls:

13.0ms	(*.f64 1/3 (pow.f64 x 3))
10.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
10.0ms	(*.f64 (pow.f64 x 5) 2/15)
10.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))

Compiler

Compiled 1696 to 1328 computations (21.7% saved)

series345.0ms (5%)

Error

Counts

4 → 17

Calls

4 calls:

106.0ms	(-.f64 x (*.f64 1/3 (pow.f64 x 3)))
83.0ms	(+.f64 (-.f64 x (.f64 1/3 (pow.f64 x 3))) (.f64 (pow.f64 x 5) 2/15))
73.0ms	(*.f64 (pow.f64 x 5) 2/15)
60.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 506 to 420 computations (17% saved)

simplify134.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	5019	1240

prune189.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	100	3	103

Error

Counts

103 → 3

Compiler

Compiled 1706 to 1319 computations (22.7% saved)

regimes137.0ms (2%)

Accuracy

Total 0.0b remaining (96.4%)

Threshold costs 0.0b (96.4%)

Compiler

Compiled 662 to 472 computations (28.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample3.9s (55.8%)

Algorithm

1×

intervals

Results

1.9s	3875×	body	1024	valid
498.0ms	1970×	body	512	valid
221.0ms	415×	body	2048	valid
142.0ms	966×	body	256	valid
56.0ms	774×	body	128	valid

Compiler

Compiled 333 to 239 computations (28.2% saved)

Details

analyze310.0ms (4.4%)

sample113.0ms (1.6%)

simplify125.0ms (1.8%)

prune4.0ms (0.1%)

localize13.0ms (0.2%)

rewrite189.0ms (2.7%)

series266.0ms (3.8%)

simplify144.0ms (2.1%)

prune152.0ms (2.2%)

localize3.0ms (0%)

rewrite13.0ms (0.2%)

series106.0ms (1.5%)

simplify64.0ms (0.9%)

prune19.0ms (0.3%)

localize7.0ms (0.1%)

rewrite53.0ms (0.8%)

series263.0ms (3.8%)

simplify130.0ms (1.9%)

prune51.0ms (0.7%)

localize16.0ms (0.2%)

rewrite225.0ms (3.2%)

series345.0ms (5%)

simplify134.0ms (1.9%)

prune189.0ms (2.7%)

regimes137.0ms (2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.9s (55.8%)

Profiling