Details

analyze175.0ms (2.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample93.0ms (1.3%)

Algorithm

1×

intervals

Results

48.0ms	81×	body	1024	valid
14.0ms	47×	body	512	valid
8.0ms	10×	body	2048	valid
5.0ms	96×	body	128	valid
3.0ms	22×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

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

38.5b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.0b	(log.f64 (+.f64 1 x))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

38.5b

Rules

4×	`log-prod_binary64_1528` `*-un-lft-identity_binary64_1442`
2×	`pow1_binary64_1503` `log-div_binary64_1529` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `add-exp-log_binary64_1480`
1×	`log-pow_binary64_1531` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `rem-log-exp_binary64_1483` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478`

Counts

1 → 15

Calls

1 calls:

7.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 152 to 124 computations (18.4% saved)

series70.0ms (1%)

Error

0.0b

Counts

1 → 9

Calls

1 calls:

50.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 213 to 180 computations (15.5% saved)

simplify129.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5015	267

prune46.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Error

0.0b

Counts

25 → 4

Compiler

Compiled 248 to 182 computations (26.6% saved)

localize19.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/3 (*.f64 x -1/4))
0.0b	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
0.2b	(.f64 x (+.f64 1/3 (.f64 x -1/4)))

rewrite165.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`add-sqr-sqrt_binary64_1464`
6×	`add-cube-cbrt_binary64_1477` `-un-lft-identity_binary64_1442` `associate-r*_binary64_1382`
5×	`add-log-exp_binary64_1481`
4×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r/_binary64_1384` `associate-l*_binary64_1383`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `*-commutative_binary64_1373`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

3 → 56

Calls

3 calls:

22.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
12.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
6.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 1349 to 901 computations (33.2% saved)

series247.0ms (3.5%)

Error

0.0b

Counts

3 → 17

Calls

3 calls:

95.0ms	(.f64 x (+.f64 1/3 (.f64 x -1/4)))
72.0ms	(.f64 (.f64 x x) (+.f64 (.f64 x (+.f64 1/3 (.f64 x -1/4))) -1/2))
57.0ms	(+.f64 1/3 (*.f64 x -1/4))

Compiler

Compiled 587 to 425 computations (27.6% saved)

simplify173.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	4899	1038
1	4899	1038

prune134.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Error

0.0b

Counts

77 → 4

Compiler

Compiled 1435 to 961 computations (33% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (log.f64 (+.f64 x 1)))
3.0b	(log.f64 (+.f64 x 1))
3.0b	(log.f64 (+.f64 x 1))
3.0b	(log.f64 (+.f64 x 1))

rewrite167.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`*-un-lft-identity_binary64_1442`
12×	`log-prod_binary64_1528`
8×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
7×	`add-exp-log_binary64_1480`
6×	`log-div_binary64_1529`
4×	`log-pow_binary64_1531` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `cbrt-prod_binary64_1473`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `rem-log-exp_binary64_1483`
1×	`pow1/3_binary64_1524`

Counts

4 → 57

Calls

4 calls:

7.0ms	(log.f64 (+.f64 x 1))
6.0ms	(log.f64 (+.f64 x 1))
6.0ms	(log.f64 (+.f64 x 1))
2.0ms	(cbrt.f64 (log.f64 (+.f64 x 1)))

Compiler

Compiled 1318 to 1096 computations (16.8% saved)

series365.0ms (5.2%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

98.0ms	(cbrt.f64 (log.f64 (+.f64 x 1)))
64.0ms	(log.f64 (+.f64 x 1))
61.0ms	(log.f64 (+.f64 x 1))
59.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1756 to 1489 computations (15.2% saved)

simplify143.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (113.0ms)

Iter	Nodes	Cost
0	5053	1011

prune206.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	1	1
Picked	1	0	1
Done	0	2	2
Total	90	4	94

Error

0.0b

Counts

94 → 4

Compiler

Compiled 1957 to 1552 computations (20.7% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.4b	(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x 1)))))
3.0b	(log.f64 (+.f64 x 1))
3.0b	(log.f64 (+.f64 x 1))
3.0b	(log.f64 (+.f64 x 1))

rewrite207.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`*-un-lft-identity_binary64_1442`
15×	`log-prod_binary64_1528`
12×	`log-pow_binary64_1531`
10×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
9×	`pow1_binary64_1503`
7×	`add-exp-log_binary64_1480` `exp-prod_binary64_1494`
6×	`log-div_binary64_1529`
4×	`rem-log-exp_binary64_1483` `add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `cbrt-prod_binary64_1473`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393`

Counts

4 → 64

Calls

4 calls:

7.0ms	(log.f64 (+.f64 x 1))
6.0ms	(log.f64 (+.f64 x 1))
6.0ms	(log.f64 (+.f64 x 1))
6.0ms	(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x 1)))))

Compiler

Compiled 1630 to 1381 computations (15.3% saved)

series438.0ms (6.3%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

146.0ms	(log.f64 (exp.f64 (cbrt.f64 (log.f64 (+.f64 x 1)))))
71.0ms	(log.f64 (+.f64 x 1))
68.0ms	(log.f64 (+.f64 x 1))
64.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 1895 to 1628 computations (14.1% saved)

simplify129.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	5140	1114

prune243.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	97	4	101

Error

0.0b

Counts

101 → 4

Compiler

Compiled 2265 to 1832 computations (19.1% saved)

regimes219.0ms (3.1%)

Accuracy

Total 0.5b remaining (95.1%)

Threshold costs 0.5b (95.1%)

Compiler

Compiled 699 to 604 computations (13.6% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	37
1	26	37

end0.0ms (0%)

sample3.5s (50.1%)

Algorithm

1×

intervals

Results

1.6s	2639×	body	1024	valid
401.0ms	1336×	body	512	valid
222.0ms	272×	body	2048	valid
158.0ms	3074×	body	128	valid
100.0ms	679×	body	256	valid

Compiler

Compiled 248 to 210 computations (15.3% saved)

Details

analyze175.0ms (2.5%)

sample93.0ms (1.3%)

simplify14.0ms (0.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite39.0ms (0.6%)

series70.0ms (1%)

simplify129.0ms (1.9%)

prune46.0ms (0.7%)

localize19.0ms (0.3%)

rewrite165.0ms (2.4%)

series247.0ms (3.5%)

simplify173.0ms (2.5%)

prune134.0ms (1.9%)

localize14.0ms (0.2%)

rewrite167.0ms (2.4%)

series365.0ms (5.2%)

simplify143.0ms (2.1%)

prune206.0ms (3%)

localize20.0ms (0.3%)

rewrite207.0ms (3%)

series438.0ms (6.3%)

simplify129.0ms (1.9%)

prune243.0ms (3.5%)

regimes219.0ms (3.1%)

bsearch4.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample3.5s (50.1%)

Profiling