Details

analyze242.0ms (7.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	80	valid
0.0ms	8×	body	80	nan
0.0ms	2×	body	80	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify321.0ms (9.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (312.0ms)

Iter	Nodes	Cost
0	6361	17

prune5.0ms (0.2%)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.2b	(*.f64 x (log.f64 y))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`associate--l+_binary64`
27×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`add-log-exp_binary64`
15×	`add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
9×	`pow1_binary64`
8×	`associate-+l+_binary64`
7×	`diff-log_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`sub-neg_binary64`
4×	`distribute-lft-out_binary64` `associate-r_binary64`
3×	`log-pow_binary64` `associate-l_binary64` `distribute-lft-out--_binary64` `associate-+r+_binary64` `sum-log_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

12.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
8.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
5.0ms	(*.f64 x (log.f64 y))

series39.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
10.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
9.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
7.0ms	(*.f64 x (log.f64 y))

simplify110.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5130	1525

prune77.0ms (2.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	8	106

Merged error: 0.0b

Counts

106 → 8

Compiler

Compiled 1830 to 457 computations (75% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

11.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series70.0ms (2.1%)

Counts

4 → 12

Calls

4 calls:

21.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
19.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
15.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)

simplify91.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4946	980
1	4946	980

prune68.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	2	90
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	92	6	98

Merged error: 0b

Counts

98 → 6

Compiler

Compiled 2146 to 876 computations (59.2% saved)

localize22.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series74.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt.f64 (cbrt.f64 y))
21.0ms	(cbrt.f64 (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)

simplify69.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5120	466

prune51.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	62	6	68

Merged error: 0b

Counts

68 → 6

Compiler

Compiled 1878 to 751 computations (60% saved)

localize36.0ms (1.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (pow.f64 y 2/3))
0.6b	(cbrt.f64 (cbrt.f64 y))
6.0b	(pow.f64 y 2/3)

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1/3_binary64`
2×	`sqr-pow_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `pow-exp_binary64`

Counts

4 → 57

Calls

4 calls:

4.0ms	(pow.f64 y 2/3)
4.0ms	(cbrt.f64 (pow.f64 y 2/3))
3.0ms	(cbrt.f64 (cbrt.f64 y))
2.0ms	(cbrt.f64 y)

series87.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(cbrt.f64 (cbrt.f64 y))
26.0ms	(pow.f64 y 2/3)
14.0ms	(cbrt.f64 (pow.f64 y 2/3))
14.0ms	(cbrt.f64 y)

simplify85.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5205	511

prune59.0ms (1.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	69	6	75

Merged error: 0b

Counts

75 → 6

Compiler

Compiled 2015 to 1064 computations (47.2% saved)

regimes385.0ms (11.9%)

Compiler: Compiled 934 to 788 computations (15.6% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	43
1	43	43

end0.0ms (0%)

sample1.2s (37.6%)

Algorithm

1×

intervals

Results

422.0ms	7997×	body	80	valid
17.0ms	378×	body	80	nan
5.0ms	33×	body	80	invalid
1.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid

Compiler

Compiled 147 to 120 computations (18.4% saved)

Details

analyze242.0ms (7.5%)

sample23.0ms (0.7%)

simplify321.0ms (9.9%)

prune5.0ms (0.2%)

localize12.0ms (0.4%)

rewrite33.0ms (1%)

series39.0ms (1.2%)

simplify110.0ms (3.4%)

prune77.0ms (2.4%)

localize15.0ms (0.5%)

rewrite22.0ms (0.7%)

series70.0ms (2.1%)

simplify91.0ms (2.8%)

prune68.0ms (2.1%)

localize22.0ms (0.7%)

rewrite8.0ms (0.2%)

series74.0ms (2.3%)

simplify69.0ms (2.1%)

prune51.0ms (1.6%)

localize36.0ms (1.1%)

rewrite16.0ms (0.5%)

series87.0ms (2.7%)

simplify85.0ms (2.6%)

prune59.0ms (1.8%)

regimes385.0ms (11.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (37.6%)

Profiling