Details

analyze175.0ms (4.2%)

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)

sample55.0ms (1.3%)

Algorithm

1×

intervals

Results

31.0ms	122×	body	1024	valid
8.0ms	63×	body	512	valid
3.0ms	37×	body	256	valid
3.0ms	9×	body	2048	valid
1.0ms	25×	body	128	valid

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4797	22
1	4797	22

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

58.1b

Counts

2 → 1

Compiler

Compiled 26 to 14 computations (46.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
1.0b	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.3b	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite104.0ms (2.5%)

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:

18.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
6.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
6.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 1999 to 313 computations (84.3% saved)

series141.0ms (3.4%)

Error

0.9b

Counts

3 → 18

Calls

3 calls:

70.0ms	(/.f64 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x))) (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
28.0ms	(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
22.0ms	(+.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

Compiler

Compiled 602 to 382 computations (36.5% saved)

simplify87.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5039	2484

prune89.0ms (2.1%)

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 2106 to 426 computations (79.8% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(tanh.f64 x)

rewrite7.0ms (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:

1.0ms

(tanh.f64 x)

Compiler

Compiled 82 to 46 computations (43.9% saved)

series55.0ms (1.3%)

Error

Counts

1 → 6

Calls

1 calls:

51.0ms

(tanh.f64 x)

Compiler

Compiled 158 to 135 computations (14.6% saved)

simplify38.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4965	163
1	4965	163

prune14.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Error

Counts

19 → 3

Compiler

Compiled 146 to 93 computations (36.3% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315)))
0.1b	(*.f64 (pow.f64 x 7) 17/315)
0.1b	(*.f64 (pow.f64 x 5) 2/15)
0.2b	(*.f64 1/3 (pow.f64 x 3))

rewrite220.0ms (5.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`add-sqr-sqrt_binary64_1464`
19×	`add-exp-log_binary64_1480`
18×	`associate-r_binary64_1382`
17×	`-un-lft-identity_binary64_1442` `associate-l*_binary64_1383`
16×	`add-log-exp_binary64_1481`
15×	`add-cube-cbrt_binary64_1477`
12×	`unpow-prod-down_binary64_1521`
10×	`add-cbrt-cube_binary64_1478` `unswap-sqr_binary64_1410`
9×	`prod-exp_binary64_1491`
6×	`sqr-pow_binary64_1414`
4×	`pow1_binary64_1503` `cube-prod_binary64_1470` `sum-log_binary64_1533` `diff-log_binary64_1534` `flip3-+_binary64_1445` `frac-sub_binary64_1451` `flip-+_binary64_1416`
3×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373` `cancel-sign-sub-inv_binary64_1408`
1×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate--l+_binary64_1379` `associate--r+_binary64_1378`

Counts

4 → 106

Calls

4 calls:

11.0ms	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315)))
7.0ms	(*.f64 1/3 (pow.f64 x 3))
5.0ms	(*.f64 (pow.f64 x 5) 2/15)
5.0ms	(*.f64 (pow.f64 x 7) 17/315)

Compiler

Compiled 3201 to 2555 computations (20.2% saved)

series194.0ms (4.7%)

Error

Counts

4 → 17

Calls

4 calls:

52.0ms	(*.f64 (pow.f64 x 7) 17/315)
47.0ms	(-.f64 (+.f64 x (.f64 (pow.f64 x 5) 2/15)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 (pow.f64 x 7) 17/315)))
44.0ms	(*.f64 (pow.f64 x 5) 2/15)
37.0ms	(*.f64 1/3 (pow.f64 x 3))

Compiler

Compiled 691 to 574 computations (16.9% saved)

simplify104.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5017	2213

prune186.0ms (4.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	123	3	126

Error

Counts

126 → 3

Compiler

Compiled 3108 to 2462 computations (20.8% saved)

localize4.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (tanh.f64 x) 3)
0.0b	(tanh.f64 x)
37.0b	(cbrt.f64 (pow.f64 (tanh.f64 x) 3))

rewrite52.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`cbrt-prod_binary64_1473`
9×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
6×	`cube-div_binary64_1471` `unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`add-log-exp_binary64_1481` `tanh-def-c_binary64_1631` `cbrt-div_binary64_1474` `tanh-def-b_binary64_1630` `tanh-def-a_binary64_1629` `pow-unpow_binary64_1519`
2×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414`
1×	`pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465`

Counts

3 → 60

Calls

3 calls:

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

Compiler

Compiled 703 to 435 computations (38.1% saved)

series241.0ms (5.8%)

Error

Counts

3 → 18

Calls

3 calls:

104.0ms	(pow.f64 (tanh.f64 x) 3)
60.0ms	(cbrt.f64 (pow.f64 (tanh.f64 x) 3))
58.0ms	(tanh.f64 x)

Compiler

Compiled 558 to 487 computations (12.7% saved)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5029	769

prune46.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	78	3	81

Error

Counts

81 → 3

Compiler

Compiled 692 to 432 computations (37.6% saved)

regimes85.0ms (2%)

Accuracy

Total 0.0b remaining (98.4%)

Threshold costs 0.0b (98.4%)

Compiler

Compiled 829 to 557 computations (32.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end0.0ms (0%)

sample2.1s (50.8%)

Algorithm

1×

intervals

Results

1.0s	3917×	body	1024	valid
254.0ms	1966×	body	512	valid
118.0ms	412×	body	2048	valid
81.0ms	935×	body	256	valid
31.0ms	770×	body	128	valid
0.0ms	1×	body	128	overflowed

Compiler

Compiled 389 to 266 computations (31.6% saved)

Details

analyze175.0ms (4.2%)

sample55.0ms (1.3%)

simplify72.0ms (1.7%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite104.0ms (2.5%)

series141.0ms (3.4%)

simplify87.0ms (2.1%)

prune89.0ms (2.1%)

localize2.0ms (0%)

rewrite7.0ms (0.2%)

series55.0ms (1.3%)

simplify38.0ms (0.9%)

prune14.0ms (0.3%)

localize12.0ms (0.3%)

rewrite220.0ms (5.3%)

series194.0ms (4.7%)

simplify104.0ms (2.5%)

prune186.0ms (4.4%)

localize4.0ms (0.1%)

rewrite52.0ms (1.2%)

series241.0ms (5.8%)

simplify61.0ms (1.5%)

prune46.0ms (1.1%)

regimes85.0ms (2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.1s (50.8%)

Profiling