Details

analyze742.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
41%	41%	18%	14

Compiler

Compiled 13 to 12 computations (7.7% saved)

sample42.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	182×	body	128	valid
7.0ms	36×	body	1024	valid
6.0ms	39×	body	1024	nan
4.0ms	25×	body	512	valid
3.0ms	24×	body	512	nan
1.0ms	11×	body	256	valid
1.0ms	12×	body	256	nan
1.0ms	19×	body	128	nan
1.0ms	2×	body	2048	valid
0.0ms	1×	body	2048	nan

Compiler

Compiled 25 to 25 computations (0% saved)

simplify460.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (301.0ms)

Iter	Nodes	Cost
0	5118	18

prune2.0ms (0%)

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: 19.1b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
1.6b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
4.4b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite57.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`add-sqr-sqrt_binary64_9534`
57×	`*-un-lft-identity_binary64_9513`
34×	`times-frac_binary64_9519`
27×	`difference-of-squares_binary64_9482`
17×	`add-cube-cbrt_binary64_9545`
15×	`distribute-lft-out--_binary64_9467`
8×	`log-prod_binary64_9596`
6×	`add-exp-log_binary64_9548` `associate-/r*_binary64_9459`
5×	`add-log-exp_binary64_9549` `add-cbrt-cube_binary64_9546` `associate-/l*_binary64_9460`
4×	`flip3--_binary64_9517` `flip--_binary64_9488` `pow1_binary64_9571`
2×	`div-sub_binary64_9518` `associate-/r/_binary64_9461` `associate-/l/_binary64_9462` `log-div_binary64_9597`
1×	`diff-log_binary64_9602` `log-pow_binary64_9599` `sub-neg_binary64_9506` `div-inv_binary64_9510` `frac-2neg_binary64_9524` `clear-num_binary64_9512` `rem-log-exp_binary64_9551` `div-exp_binary64_9561` `associate--r-_binary64_9454` `cbrt-undiv_binary64_9544`

Counts

3 → 94

Calls

3 calls:

19.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
19.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

series256.0ms (1.9%)

Counts

3 → 9

Calls

3 calls:

123.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
79.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
54.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4967	2120
1	4967	2120

prune159.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	4	104

Merged error: 0.1b

Counts

104 → 4

Compiler

Compiled 2142 to 1373 computations (35.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 1 y))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
4.4b	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
5.0b	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

57×	`add-sqr-sqrt_binary64_9534`
51×	`*-un-lft-identity_binary64_9513`
38×	`times-frac_binary64_9519`
27×	`add-cube-cbrt_binary64_9545`
24×	`associate-r_binary64_9455`
18×	`add-exp-log_binary64_9548`
15×	`difference-of-squares_binary64_9482`
11×	`add-cbrt-cube_binary64_9546`
8×	`distribute-lft-out--_binary64_9467` `pow1_binary64_9571`
6×	`add-log-exp_binary64_9549` `flip3--_binary64_9517` `associate-/r*_binary64_9459` `flip--_binary64_9488`
5×	`associate-l_binary64_9456`
4×	`prod-exp_binary64_9559` `associate-/r/_binary64_9461` `div-exp_binary64_9561`
3×	`log-prod_binary64_9596` `associate-/l*_binary64_9460` `unswap-sqr_binary64_9481`
2×	`1-exp_binary64_9554` `associate-*l/_binary64_9458` `frac-times_binary64_9523` `div-inv_binary64_9510` `rec-exp_binary64_9560` `log-div_binary64_9597` `cbrt-undiv_binary64_9544` `cbrt-unprod_binary64_9543`
1×	`pow-prod-down_binary64_9581` `pow-flip_binary64_9584` `diff-log_binary64_9602` `log-pow_binary64_9599` `sub-neg_binary64_9506` `un-div-inv_binary64_9511` `frac-2neg_binary64_9524` `clear-num_binary64_9512` `rem-log-exp_binary64_9551` `inv-pow_binary64_9595` `-commutative_binary64_9446` `associate-r/_binary64_9457`

Counts

4 → 123

Calls

4 calls:

17.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
7.0ms	(/.f64 1 (-.f64 1 y))
4.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))
4.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))

series265.0ms (2%)

Counts

4 → 12

Calls

4 calls:

111.0ms	(log.f64 (-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))))
82.0ms	(-.f64 1 (*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y))))
56.0ms	(*.f64 (-.f64 x y) (/.f64 1 (-.f64 1 y)))
17.0ms	(/.f64 1 (-.f64 1 y))

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5584	2046

prune150.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	135	4	139

Merged error: 0.1b

Counts

139 → 4

Compiler

Compiled 2704 to 1913 computations (29.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))) (log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
1.6b	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
10.1b	(log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
11.8b	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

rewrite144.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`add-sqr-sqrt_binary64_9534`
38×	`log-prod_binary64_9596`
37×	`difference-of-squares_binary64_9482`
36×	`*-un-lft-identity_binary64_9513`
16×	`associate--l+_binary64_9452`
12×	`cube-prod_binary64_9538` `unpow-prod-down_binary64_9589` `times-frac_binary64_9519`
10×	`pow1_binary64_9571`
8×	`add-cube-cbrt_binary64_9545` `log-div_binary64_9597`
7×	`distribute-lft-out--_binary64_9467`
6×	`add-exp-log_binary64_9548` `log-pow_binary64_9599` `add-log-exp_binary64_9549` `sqr-pow_binary64_9485`
4×	`add-cbrt-cube_binary64_9546` `flip3--_binary64_9517` `flip--_binary64_9488`
3×	`associate--r+_binary64_9451`
2×	`flip3-+_binary64_9516` `diff-log_binary64_9602` `sub-neg_binary64_9506` `rem-log-exp_binary64_9551` `flip-+_binary64_9487` `associate--l-_binary64_9453` `associate--r-_binary64_9454`

Counts

4 → 104

Calls

4 calls:

47.0ms	(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))) (log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
40.0ms	(log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
37.0ms	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
4.0ms	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

series2.2s (17.1%)

Counts

4 → 12

Calls

4 calls:

857.0ms	(-.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))) (log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))))))
590.0ms	(log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
457.0ms	(-.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))
340.0ms	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

simplify105.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5035	4825

prune305.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	117	3	120

Merged error: 0.1b

Counts

120 → 3

Compiler

Compiled 5636 to 3761 computations (33.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(log.f64 (-.f64 (.f64 1 1) (.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3) (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))))
1.1b	(log.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
1.6b	(-.f64 (.f64 1 1) (.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3) (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
11.8b	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

rewrite127.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_9513` `log-prod_binary64_9596`
7×	`add-cube-cbrt_binary64_9545` `add-exp-log_binary64_9548` `pow1_binary64_9571` `add-sqr-sqrt_binary64_9534`
6×	`add-log-exp_binary64_9549` `log-div_binary64_9597`
4×	`pow-prod-down_binary64_9581` `add-cbrt-cube_binary64_9546` `difference-cubes_binary64_9515`
3×	`log-pow_binary64_9599` `rem-log-exp_binary64_9551`
2×	`flip3-+_binary64_9516` `difference-of-squares_binary64_9482` `pow3_binary64_9593` `cube-unmult_binary64_9547` `flip-+_binary64_9487` `flip3--_binary64_9517` `flip--_binary64_9488`
1×	`diff-log_binary64_9602` `sub-neg_binary64_9506` `distribute-lft-out_binary64_9466`

Counts

4 → 60

Calls

4 calls:

39.0ms	(log.f64 (-.f64 (.f64 1 1) (.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3) (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))))
37.0ms	(-.f64 (.f64 1 1) (.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3) (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
35.0ms	(log.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
3.0ms	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

series4.2s (31.8%)

Counts

4 → 12

Calls

4 calls:

2.0s	(-.f64 (.f64 1 1) (.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3) (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
1.2s	(log.f64 (-.f64 (.f64 1 1) (.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3) (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3))))
613.0ms	(log.f64 (+.f64 1 (pow.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) 3)))
352.0ms	(log.f64 (+.f64 1 (*.f64 (/.f64 (-.f64 x y) (-.f64 1 y)) (+.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))))

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5148	2223

prune218.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	4	75

Merged error: 0.1b

Counts

75 → 4

Compiler

Compiled 4652 to 3133 computations (32.7% saved)

regimes825.0ms (6.3%)

Compiler: Compiled 8787 to 6738 computations (23.3% saved)

bsearch129.0ms (1%)

Steps

Iters	Range		Point
11	302053.94343462394	2.366338084422696e+27	125770033.00554632
9	-1.7725324102971337e+19	-25042344871433.773	-25377322959975.21

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	114	56
1	114	56

end0.0ms (0%)

sample2.4s (18.1%)

Algorithm

1×

intervals

Results

313.0ms	5802×	body	128	valid
208.0ms	1048×	body	1024	valid
151.0ms	1006×	body	1024	nan
95.0ms	697×	body	512	valid
72.0ms	649×	body	512	nan
35.0ms	378×	body	256	valid
26.0ms	352×	body	256	nan
22.0ms	75×	body	2048	valid
19.0ms	504×	body	128	nan
1.0ms	3×	body	2048	nan

Compiler

Compiled 1401 to 1069 computations (23.7% saved)

Details

analyze742.0ms (5.6%)

sample42.0ms (0.3%)

simplify460.0ms (3.5%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite57.0ms (0.4%)

series256.0ms (1.9%)

simplify72.0ms (0.5%)

prune159.0ms (1.2%)

localize10.0ms (0.1%)

rewrite44.0ms (0.3%)

series265.0ms (2%)

simplify84.0ms (0.6%)

prune150.0ms (1.1%)

localize17.0ms (0.1%)

rewrite144.0ms (1.1%)

series2.2s (17.1%)

simplify105.0ms (0.8%)

prune305.0ms (2.3%)

localize25.0ms (0.2%)

rewrite127.0ms (1%)

series4.2s (31.8%)

simplify88.0ms (0.7%)

prune218.0ms (1.7%)

regimes825.0ms (6.3%)

bsearch129.0ms (1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.4s (18.1%)

Profiling