Details

analyze256.0ms (5.8%)

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)

sample26.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
0.0ms	10×	body	128	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify184.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	496	17
1	496	17

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.3b	(*.f64 x (log.f64 y))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`associate--l+_binary64_2712`
27×	`log-prod_binary64_2856`
25×	`*-un-lft-identity_binary64_2773`
19×	`add-sqr-sqrt_binary64_2794`
17×	`add-log-exp_binary64_2809`
15×	`add-cube-cbrt_binary64_2805`
12×	`distribute-rgt-in_binary64_2725` `distribute-lft-in_binary64_2724`
9×	`pow1_binary64_2831`
8×	`associate-+l+_binary64_2708`
7×	`diff-log_binary64_2862`
6×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806`
5×	`sub-neg_binary64_2766`
4×	`distribute-lft-out_binary64_2726` `associate-r_binary64_2715`
3×	`associate-l_binary64_2716` `sum-log_binary64_2861` `distribute-lft-out--_binary64_2727` `associate-+r+_binary64_2707` `log-pow_binary64_2859`
2×	`flip3--_binary64_2777` `flip--_binary64_2748`
1×	`cbrt-unprod_binary64_2803` `associate--l-_binary64_2713` `difference-of-squares_binary64_2742` `pow-prod-down_binary64_2841` `unswap-sqr_binary64_2741` `flip3-+_binary64_2776` `*-commutative_binary64_2706` `prod-exp_binary64_2819` `+-commutative_binary64_2705` `associate-+l-_binary64_2710` `flip-+_binary64_2747`

Counts

4 → 93

Calls

4 calls:

14.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
9.0ms	(-.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))

series278.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
82.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
59.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
50.0ms	(*.f64 x (log.f64 y))

simplify65.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5303	1525

prune91.0ms (2.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

Compiler

Compiled 1825 to 458 computations (74.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (sqrt.f64 y))
0.0b	(+.f64 (.f64 (log.f64 (sqrt.f64 y)) x) (-.f64 (.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z)))
0.3b	(*.f64 x (log.f64 (sqrt.f64 y)))
0.3b	(*.f64 (log.f64 (sqrt.f64 y)) x)

rewrite37.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`log-prod_binary64_2856`
22×	`add-sqr-sqrt_binary64_2794`
18×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
15×	`sqrt-prod_binary64_2788`
14×	`pow1_binary64_2831`
13×	`add-log-exp_binary64_2809` `associate-+r+_binary64_2707`
12×	`distribute-rgt-in_binary64_2725` `distribute-lft-in_binary64_2724` `associate--l+_binary64_2712`
9×	`add-exp-log_binary64_2808` `associate-l_binary64_2716` `associate-r_binary64_2715` `log-pow_binary64_2859`
8×	`add-cbrt-cube_binary64_2806`
4×	`sum-log_binary64_2861`
3×	`sqrt-pow1_binary64_2790` `pow1/2_binary64_2850`
2×	`cbrt-unprod_binary64_2803` `pow-prod-down_binary64_2841` `unswap-sqr_binary64_2741` `diff-log_binary64_2862` `*-commutative_binary64_2706` `prod-exp_binary64_2819`
1×	`rem-log-exp_binary64_2811` `associate-+r-_binary64_2709` `sub-neg_binary64_2766` `flip3-+_binary64_2776` `+-commutative_binary64_2705` `flip-+_binary64_2747`

Counts

4 → 98

Calls

4 calls:

14.0ms	(+.f64 (.f64 (log.f64 (sqrt.f64 y)) x) (-.f64 (.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z)))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)
2.0ms	(log.f64 (sqrt.f64 y))

series249.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(+.f64 (.f64 (log.f64 (sqrt.f64 y)) x) (-.f64 (.f64 x (log.f64 (sqrt.f64 y))) (+.f64 y z)))
77.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)
67.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
26.0ms	(log.f64 (sqrt.f64 y))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5021	1612

prune106.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Merged error: 0b

Counts

117 → 6

Compiler

Compiled 2618 to 672 computations (74.3% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(*.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))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_2856`
18×	`cbrt-prod_binary64_2801` `add-sqr-sqrt_binary64_2794`
16×	`add-cube-cbrt_binary64_2805` `*-un-lft-identity_binary64_2773`
12×	`distribute-rgt-in_binary64_2725` `distribute-lft-in_binary64_2724` `associate-+r+_binary64_2707`
7×	`pow1_binary64_2831`
6×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806` `add-log-exp_binary64_2809`
5×	`associate-r_binary64_2715`
3×	`associate-l_binary64_2716` `pow1/3_binary64_2852`
2×	`log-pow_binary64_2859`
1×	`cbrt-unprod_binary64_2803` `pow-prod-down_binary64_2841` `unswap-sqr_binary64_2741` `flip3-+_binary64_2776` `distribute-lft-out_binary64_2726` `sum-log_binary64_2861` `*-commutative_binary64_2706` `prod-exp_binary64_2819` `+-commutative_binary64_2705` `flip-+_binary64_2747`

Counts

4 → 78

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
3.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series556.0ms (12.6%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt.f64 y)
146.0ms	(cbrt.f64 y)
140.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
112.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify100.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4910	970
1	4910	970

prune95.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	90	6	96

Merged error: 0b

Counts

96 → 6

Compiler

Compiled 2143 to 895 computations (58.2% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (+.f64 (log.f64 (sqrt.f64 y)) (log.f64 (fabs.f64 (cbrt.f64 y)))))
0.3b	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1_binary64_2831` `add-sqr-sqrt_binary64_2794` `*-un-lft-identity_binary64_2773`
10×	`associate-l_binary64_2716` `add-cube-cbrt_binary64_2805` `associate-r_binary64_2715`
8×	`add-exp-log_binary64_2808` `add-cbrt-cube_binary64_2806` `log-pow_binary64_2859`
6×	`cbrt-prod_binary64_2801`
4×	`distribute-lft-out_binary64_2726` `add-log-exp_binary64_2809`
3×	`pow1/3_binary64_2852`
2×	`cbrt-unprod_binary64_2803` `pow-prod-down_binary64_2841` `unswap-sqr_binary64_2741` `sqrt-pow1_binary64_2790` `-commutative_binary64_2706` `associate-r/_binary64_2717` `prod-exp_binary64_2819`
1×	`distribute-rgt-in_binary64_2725` `flip3-+_binary64_2776` `distribute-lft-in_binary64_2724` `pow1/2_binary64_2850` `flip-+_binary64_2747`

Counts

4 → 70

Calls

4 calls:

12.0ms	(*.f64 x (+.f64 (log.f64 (sqrt.f64 y)) (log.f64 (fabs.f64 (cbrt.f64 y)))))
5.0ms	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series607.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
162.0ms	(cbrt.f64 y)
154.0ms	(cbrt.f64 y)
117.0ms	(*.f64 x (+.f64 (log.f64 (sqrt.f64 y)) (log.f64 (fabs.f64 (cbrt.f64 y)))))

simplify42.0ms (1%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5255	1059

prune83.0ms (1.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	82	6	88

Merged error: 0b

Counts

88 → 6

Compiler

Compiled 2373 to 499 computations (79% saved)

regimes288.0ms (6.5%)

Compiler: Compiled 2654 to 1996 computations (24.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	17
1	31	17

end0.0ms (0%)

sample1.1s (25.1%)

Algorithm

1×

intervals

Results

488.0ms	7998×	body	128	valid
16.0ms	376×	body	128	nan
2.0ms	29×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 347 to 263 computations (24.2% saved)

Details

analyze256.0ms (5.8%)

sample26.0ms (0.6%)

simplify184.0ms (4.2%)

prune3.0ms (0.1%)

localize14.0ms (0.3%)

rewrite41.0ms (0.9%)

series278.0ms (6.3%)

simplify65.0ms (1.5%)

prune91.0ms (2.1%)

localize14.0ms (0.3%)

rewrite37.0ms (0.8%)

series249.0ms (5.6%)

simplify70.0ms (1.6%)

prune106.0ms (2.4%)

localize15.0ms (0.4%)

rewrite28.0ms (0.6%)

series556.0ms (12.6%)

simplify100.0ms (2.3%)

prune95.0ms (2.2%)

localize22.0ms (0.5%)

rewrite28.0ms (0.6%)

series607.0ms (13.8%)

simplify42.0ms (1%)

prune83.0ms (1.9%)

regimes288.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (25.1%)

Profiling