Details

analyze261.0ms (6.1%)

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	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)

simplify182.0ms (4.3%)

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)

localize11.0ms (0.3%)

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))

rewrite41.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`associate--l+_binary64_2375`
27×	`log-prod_binary64_2519`
25×	`*-un-lft-identity_binary64_2436`
19×	`add-sqr-sqrt_binary64_2457`
17×	`add-log-exp_binary64_2472`
15×	`add-cube-cbrt_binary64_2468`
12×	`distribute-rgt-in_binary64_2388` `distribute-lft-in_binary64_2387`
9×	`pow1_binary64_2494`
8×	`associate-+l+_binary64_2371`
7×	`diff-log_binary64_2525`
6×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469`
5×	`sub-neg_binary64_2429`
4×	`distribute-lft-out_binary64_2389` `associate-r_binary64_2378`
3×	`distribute-lft-out--_binary64_2390` `log-pow_binary64_2522` `sum-log_binary64_2524` `associate-+r+_binary64_2370` `associate-l_binary64_2379`
2×	`flip3--_binary64_2440` `flip--_binary64_2411`
1×	`flip3-+_binary64_2439` `prod-exp_binary64_2482` `flip-+_binary64_2410` `*-commutative_binary64_2369` `associate-+l-_binary64_2373` `pow-prod-down_binary64_2504` `cbrt-unprod_binary64_2466` `unswap-sqr_binary64_2404` `associate--l-_binary64_2376` `+-commutative_binary64_2368` `difference-of-squares_binary64_2405`

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))

series284.0ms (6.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
81.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
59.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
55.0ms	(*.f64 x (log.f64 y))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5303	1525

prune89.0ms (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 1822 to 459 computations (74.8% saved)

localize16.0ms (0.4%)

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)

rewrite51.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`log-prod_binary64_2519`
25×	`add-log-exp_binary64_2472`
21×	`add-sqr-sqrt_binary64_2457`
17×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
12×	`distribute-rgt-in_binary64_2388` `associate-+l+_binary64_2371` `pow1_binary64_2494` `sqrt-prod_binary64_2451` `distribute-lft-in_binary64_2387`
10×	`sum-log_binary64_2524`
9×	`associate-r_binary64_2378` `associate-l_binary64_2379`
8×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469`
7×	`associate--l+_binary64_2375`
6×	`log-pow_binary64_2522` `diff-log_binary64_2525` `associate-+r+_binary64_2370`
3×	`associate-+r-_binary64_2372`
2×	`flip3-+_binary64_2439` `prod-exp_binary64_2482` `flip-+_binary64_2410` `*-commutative_binary64_2369` `pow-prod-down_binary64_2504` `pow1/2_binary64_2513` `cbrt-unprod_binary64_2466` `unswap-sqr_binary64_2404` `+-commutative_binary64_2368` `sqrt-pow1_binary64_2453` `sub-neg_binary64_2429`

Counts

4 → 101

Calls

4 calls:

15.0ms	(+.f64 (.f64 (log.f64 (sqrt.f64 y)) x) (+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (log.f64 t) z) y)))
15.0ms	(+.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (log.f64 t) z) y))
6.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))
5.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)

series355.0ms (8.3%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(+.f64 (.f64 (log.f64 (sqrt.f64 y)) x) (+.f64 (.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (log.f64 t) z) y)))
102.0ms	(+.f64 (*.f64 x (log.f64 (sqrt.f64 y))) (-.f64 (-.f64 (log.f64 t) z) y))
74.0ms	(*.f64 (log.f64 (sqrt.f64 y)) x)
68.0ms	(*.f64 x (log.f64 (sqrt.f64 y)))

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4966	2060
1	4966	2060

prune103.0ms (2.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	111	2	113
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	111	9	120

Merged error: 0.0b

Counts

120 → 9

Compiler

Compiled 2817 to 602 computations (78.6% saved)

localize18.0ms (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)

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2457`
13×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
12×	`cbrt-prod_binary64_2464` `pow1_binary64_2494` `log-prod_binary64_2519`
11×	`add-exp-log_binary64_2471` `add-cbrt-cube_binary64_2469`
6×	`distribute-rgt-in_binary64_2388` `associate-r_binary64_2378` `associate-l_binary64_2379` `distribute-lft-in_binary64_2387`
4×	`prod-exp_binary64_2482` `pow-prod-down_binary64_2504` `add-log-exp_binary64_2472` `cbrt-unprod_binary64_2466`
3×	`pow1/3_binary64_2515`
2×	`log-pow_binary64_2522` `*-commutative_binary64_2369`
1×	`unswap-sqr_binary64_2404`

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)

series560.0ms (13.1%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt.f64 y)
154.0ms	(cbrt.f64 y)
126.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
121.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify86.0ms (2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4905	834
1	4905	834

prune91.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

Compiler

Compiled 2124 to 928 computations (56.3% saved)

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.6b	(cbrt.f64 y)
5.2b	(pow.f64 y 1/3)

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64_2519`
19×	`add-sqr-sqrt_binary64_2457`
17×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
15×	`unpow-prod-down_binary64_2512`
14×	`distribute-rgt-in_binary64_2388` `associate-+r+_binary64_2370` `distribute-lft-in_binary64_2387`
7×	`add-exp-log_binary64_2471` `pow1_binary64_2494`
6×	`add-log-exp_binary64_2472` `add-cbrt-cube_binary64_2469`
5×	`sqr-pow_binary64_2408`
4×	`associate-r_binary64_2378`
3×	`pow-unpow_binary64_2510` `cbrt-prod_binary64_2464` `associate-l_binary64_2379`
1×	`flip3-+_binary64_2439` `pow1/3_binary64_2515` `distribute-lft-out_binary64_2389` `prod-exp_binary64_2482` `flip-+_binary64_2410` `log-pow_binary64_2522` `*-commutative_binary64_2369` `pow-prod-down_binary64_2504` `sum-log_binary64_2524` `cbrt-unprod_binary64_2466` `unswap-sqr_binary64_2404` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501` `pow-pow_binary64_2505` `+-commutative_binary64_2368` `unpow1/3_binary64_2500`

Counts

4 → 88

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
6.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))
2.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series612.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

184.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
169.0ms	(cbrt.f64 y)
151.0ms	(pow.f64 y 1/3)
108.0ms	(*.f64 x (log.f64 (pow.f64 y 1/3)))

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4986	965
1	4986	965

prune101.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	101	7	108

Merged error: 0b

Counts

108 → 7

Compiler

Compiled 2294 to 1069 computations (53.4% saved)

regimes168.0ms (3.9%)

Compiler: Compiled 1241 to 947 computations (23.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	29
1	34	29

end0.0ms (0%)

sample934.0ms (21.9%)

Algorithm

1×

intervals

Results

501.0ms	7997×	body	128	valid
18.0ms	410×	body	128	nan
2.0ms	37×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 171 to 129 computations (24.6% saved)

Details

analyze261.0ms (6.1%)

sample26.0ms (0.6%)

simplify182.0ms (4.3%)

prune3.0ms (0.1%)

localize11.0ms (0.3%)

rewrite41.0ms (1%)

series284.0ms (6.7%)

simplify69.0ms (1.6%)

prune89.0ms (2.1%)

localize16.0ms (0.4%)

rewrite51.0ms (1.2%)

series355.0ms (8.3%)

simplify78.0ms (1.8%)

prune103.0ms (2.4%)

localize18.0ms (0.4%)

rewrite21.0ms (0.5%)

series560.0ms (13.1%)

simplify86.0ms (2%)

prune91.0ms (2.1%)

localize24.0ms (0.6%)

rewrite31.0ms (0.7%)

series612.0ms (14.4%)

simplify49.0ms (1.2%)

prune101.0ms (2.4%)

regimes168.0ms (3.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample934.0ms (21.9%)

Profiling