Details

analyze255.0ms (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)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	255×	body	128	valid
1.0ms	17×	body	128	nan
0.0ms	1×	body	256	valid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify195.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	496	17
1	496	17

prune2.0ms (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)

localize10.0ms (0.2%)

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))
0.3b	(*.f64 x (log.f64 y))

rewrite48.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`associate--l+_binary64_2424`
30×	`*-un-lft-identity_binary64_2487`
27×	`log-prod_binary64_2573`
24×	`add-sqr-sqrt_binary64_2509`
20×	`add-cube-cbrt_binary64_2522`
17×	`add-log-exp_binary64_2526`
15×	`cancel-sign-sub-inv_binary64_2453`
14×	`associate-+l+_binary64_2420`
12×	`distribute-rgt-in_binary64_2437` `distribute-lft-in_binary64_2436`
9×	`pow1_binary64_2548`
7×	`diff-log_binary64_2579`
6×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
5×	`sub-neg_binary64_2480`
4×	`distribute-lft-out_binary64_2438` `associate-r_binary64_2427`
3×	`distribute-lft-out--_binary64_2439` `sum-log_binary64_2578` `associate-+r+_binary64_2419` `associate-l_binary64_2428` `log-pow_binary64_2576`
2×	`flip--_binary64_2462` `flip3--_binary64_2491`
1×	`unswap-sqr_binary64_2455` `associate-+l-_binary64_2422` `*-commutative_binary64_2418` `difference-of-squares_binary64_2456` `prod-exp_binary64_2536` `associate--l-_binary64_2425` `flip-+_binary64_2461` `+-commutative_binary64_2417` `flip3-+_binary64_2490` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558`

Counts

4 → 108

Calls

4 calls:

17.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
11.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
6.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
6.0ms	(*.f64 x (log.f64 y))

series284.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
80.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
62.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
54.0ms	(*.f64 x (log.f64 y))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4945	1606
1	4945	1606

prune223.0ms (5.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	113	7	120
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	113	8	121

Merged error: 0.0b

Counts

121 → 8

Compiler

Compiled 4151 to 2026 computations (51.2% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite58.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`log-prod_binary64_2573`
25×	`add-log-exp_binary64_2526`
23×	`add-sqr-sqrt_binary64_2509`
19×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522`
12×	`sqrt-prod_binary64_2503` `distribute-rgt-in_binary64_2437` `associate-+l+_binary64_2420` `distribute-lft-in_binary64_2436` `pow1_binary64_2548` `associate-+r+_binary64_2419`
10×	`associate--l+_binary64_2424` `sum-log_binary64_2578`
9×	`associate-l_binary64_2428` `associate-r_binary64_2427`
8×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
6×	`cancel-sign-sub-inv_binary64_2453` `diff-log_binary64_2579` `log-pow_binary64_2576`
3×	`associate-+r-_binary64_2421`
2×	`unswap-sqr_binary64_2455` `sub-neg_binary64_2480` `*-commutative_binary64_2418` `prod-exp_binary64_2536` `flip-+_binary64_2461` `sqrt-pow1_binary64_2505` `+-commutative_binary64_2417` `flip3-+_binary64_2490` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558` `pow1/2_binary64_2567`

Counts

4 → 107

Calls

4 calls:

18.0ms	(+.f64 (.f64 (log.f64 (sqrt.f64 y)) x) (+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (log.f64 t) z) y)))
17.0ms	(+.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (log.f64 t) z) y))
7.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
6.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)

series370.0ms (8.5%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(+.f64 (.f64 (log.f64 (sqrt.f64 y)) x) (+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (log.f64 t) z) y)))
103.0ms	(+.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (log.f64 t) z) y))
75.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)
75.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5113	2172

prune138.0ms (3.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	118	9	127

Merged error: 0.0b

Counts

127 → 9

Compiler

Compiled 3531 to 1019 computations (71.1% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2509`
13×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522`
12×	`cbrt-prod_binary64_2518` `pow1_binary64_2548` `log-prod_binary64_2573`
11×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
6×	`distribute-rgt-in_binary64_2437` `distribute-lft-in_binary64_2436` `associate-l_binary64_2428` `associate-r_binary64_2427`
4×	`prod-exp_binary64_2536` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558` `add-log-exp_binary64_2526`
3×	`pow1/3_binary64_2569`
2×	`*-commutative_binary64_2418` `log-pow_binary64_2576`
1×	`unswap-sqr_binary64_2455`

Counts

4 → 72

Calls

4 calls:

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

series580.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

167.0ms	(cbrt.f64 y)
163.0ms	(cbrt.f64 y)
127.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
123.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify94.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4943	834
1	4943	834

prune116.0ms (2.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

Compiler

Compiled 2532 to 1196 computations (52.8% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 y) 2/3))
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.4b	(*.f64 (log.f64 y) 2/3)
0.6b	(cbrt.f64 y)

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_2509`
15×	`pow1_binary64_2548`
14×	`*-un-lft-identity_binary64_2487` `add-cube-cbrt_binary64_2522`
13×	`add-exp-log_binary64_2525` `add-cbrt-cube_binary64_2523`
12×	`log-prod_binary64_2573`
10×	`associate-l_binary64_2428`
9×	`cbrt-prod_binary64_2518` `associate-r_binary64_2427`
6×	`distribute-rgt-in_binary64_2437` `distribute-lft-in_binary64_2436`
5×	`prod-exp_binary64_2536` `cbrt-unprod_binary64_2520` `pow-prod-down_binary64_2558`
4×	`add-log-exp_binary64_2526`
3×	`*-commutative_binary64_2418` `log-pow_binary64_2576`
2×	`unswap-sqr_binary64_2455` `pow1/3_binary64_2569`

Counts

4 → 80

Calls

4 calls:

9.0ms	(.f64 x (.f64 (log.f64 y) 2/3))
7.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
5.0ms	(*.f64 (log.f64 y) 2/3)
1.0ms	(cbrt.f64 y)

series438.0ms (10%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt.f64 y)
122.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
99.0ms	(*.f64 (log.f64 y) 2/3)
68.0ms	(.f64 x (.f64 (log.f64 y) 2/3))

simplify67.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4894	920
1	4894	920

prune139.0ms (3.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	92	9	101

Merged error: 0b

Counts

101 → 9

Compiler

Compiled 2938 to 1491 computations (49.3% saved)

regimes172.0ms (3.9%)

Compiler: Compiled 1494 to 1124 computations (24.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	17
1	31	17

end0.0ms (0%)

sample913.0ms (20.9%)

Algorithm

1×

intervals

Results

469.0ms	7997×	body	128	valid
17.0ms	410×	body	128	nan
2.0ms	37×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 202 to 154 computations (23.8% saved)

Details

analyze255.0ms (5.8%)

sample25.0ms (0.6%)

simplify195.0ms (4.5%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

rewrite48.0ms (1.1%)

series284.0ms (6.5%)

simplify73.0ms (1.7%)

prune223.0ms (5.1%)

localize13.0ms (0.3%)

rewrite58.0ms (1.3%)

series370.0ms (8.5%)

simplify70.0ms (1.6%)

prune138.0ms (3.1%)

localize16.0ms (0.4%)

rewrite22.0ms (0.5%)

series580.0ms (13.3%)

simplify94.0ms (2.1%)

prune116.0ms (2.7%)

localize18.0ms (0.4%)

rewrite30.0ms (0.7%)

series438.0ms (10%)

simplify67.0ms (1.5%)

prune139.0ms (3.2%)

regimes172.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample913.0ms (20.9%)

Profiling