Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	65×	body	512	valid
5.0ms	156×	body	128	valid
2.0ms	30×	body	256	valid
1.0ms	5×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify171.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 12.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
1.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite64.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64_2436`
72×	`add-sqr-sqrt_binary64_2457`
69×	`times-frac_binary64_2442`
32×	`add-cube-cbrt_binary64_2468`
27×	`distribute-lft-out--_binary64_2390`
17×	`difference-of-squares_binary64_2405`
11×	`add-exp-log_binary64_2471` `associate-/r*_binary64_2382`
10×	`distribute-lft-out_binary64_2389`
7×	`add-cbrt-cube_binary64_2469`
6×	`div-inv_binary64_2433` `associate-/l*_binary64_2383` `associate-/r/_binary64_2384`
5×	`add-log-exp_binary64_2472` `pow1_binary64_2494`
4×	`div-exp_binary64_2484` `difference-of-sqr-1_binary64_2406`
3×	`flip--_binary64_2411`
2×	`cbrt-undiv_binary64_2467` `flip-+_binary64_2410` `rec-exp_binary64_2483` `inv-pow_binary64_2518` `1-exp_binary64_2477` `flip3--_binary64_2440` `clear-num_binary64_2435` `frac-2neg_binary64_2447` `pow-flip_binary64_2507`
1×	`flip3-+_binary64_2439` `frac-sub_binary64_2445` `diff-log_binary64_2525` `sub-neg_binary64_2429`

Counts

3 → 124

Calls

3 calls:

36.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
9.0ms	(/.f64 1 (+.f64 x 1))
7.0ms	(/.f64 1 (-.f64 x 1))

series113.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

76.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
19.0ms	(/.f64 1 (-.f64 x 1))
18.0ms	(/.f64 1 (+.f64 x 1))

simplify69.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4849	2118
1	4849	2118

prune141.0ms (5.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	1	134

Merged error: 0.1b

Counts

134 → 1

Compiler

Compiled 2322 to 1914 computations (17.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_2457` `add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436` `times-frac_binary64_2442`
3×	`associate-/l_binary64_2383` `add-exp-log_binary64_2471` `associate-/r_binary64_2382` `add-cbrt-cube_binary64_2469`
2×	`associate-/r/_binary64_2384`
1×	`flip3-+_binary64_2439` `cbrt-undiv_binary64_2467` `flip-+_binary64_2410` `div-inv_binary64_2433` `add-log-exp_binary64_2472` `div-exp_binary64_2484` `clear-num_binary64_2435` `pow1_binary64_2494` `frac-2neg_binary64_2447`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series43.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify67.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5270	557

prune34.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0.0b

Counts

33 → 4

Compiler

Compiled 514 to 351 computations (31.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
14.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite30.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_2465`
15×	`add-exp-log_binary64_2471`
12×	`pow1_binary64_2494`
9×	`flip3-+_binary64_2439` `pow1/3_binary64_2515` `add-sqr-sqrt_binary64_2457` `flip-+_binary64_2410` `add-cube-cbrt_binary64_2468` `cbrt-prod_binary64_2464` `*-un-lft-identity_binary64_2436` `pow-flip_binary64_2507`
8×	`associate-/r/_binary64_2384`
7×	`add-cbrt-cube_binary64_2469`
4×	`add-log-exp_binary64_2472` `div-exp_binary64_2484` `frac-times_binary64_2446`
3×	`prod-exp_binary64_2482` `associate-/l*_binary64_2383` `times-frac_binary64_2442`
2×	`cbrt-undiv_binary64_2467` `rec-exp_binary64_2483` `pow-prod-down_binary64_2504` `1-exp_binary64_2477` `associate-r/_binary64_2380` `pow-prod-up_binary64_2503` `associate-l/_binary64_2381` `pow-sqr_binary64_2409`
1×	`div-inv_binary64_2433` `pow2_binary64_2514` `inv-pow_binary64_2518` `cbrt-unprod_binary64_2466` `associate-/r*_binary64_2382` `clear-num_binary64_2435` `frac-2neg_binary64_2447` `pow-plus_binary64_2496`

Counts

4 → 82

Calls

4 calls:

12.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series387.0ms (14.3%)

Counts

4 → 12

Calls

4 calls:

113.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
102.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
88.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
83.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify64.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4902	1548
1	4902	1548

prune141.0ms (5.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

Compiler

Compiled 2796 to 1888 computations (32.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) -2) (/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
0.1b	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
14.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.4b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite46.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_2457`
28×	`cbrt-prod_binary64_2464`
26×	`times-frac_binary64_2442`
25×	`add-cube-cbrt_binary64_2468` `*-un-lft-identity_binary64_2436`
24×	`associate-r_binary64_2378`
18×	`unpow-prod-down_binary64_2512` `add-exp-log_binary64_2471`
12×	`unswap-sqr_binary64_2404`
10×	`associate-l_binary64_2379`
8×	`add-cbrt-cube_binary64_2469`
6×	`prod-exp_binary64_2482` `cbrt-div_binary64_2465`
5×	`sqr-pow_binary64_2408` `pow1_binary64_2494`
4×	`add-log-exp_binary64_2472`
3×	`flip3-+_binary64_2439` `pow1/3_binary64_2515` `flip-+_binary64_2410` `div-exp_binary64_2484` `pow-unpow_binary64_2510` `pow-to-exp_binary64_2502` `pow-exp_binary64_2501`
2×	`associate-/r/_binary64_2384` `cbrt-unprod_binary64_2466` `pow-pow_binary64_2505`
1×	`cbrt-undiv_binary64_2467` `-commutative_binary64_2369` `div-inv_binary64_2433` `associate-r/_binary64_2380`

Counts

4 → 110

Calls

4 calls:

22.0ms	(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) -2) (/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
5.0ms	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series364.0ms (13.5%)

Counts

4 → 12

Calls

4 calls:

132.0ms	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
96.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
90.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
45.0ms	(.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) -2) (/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x)))))

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4926	2797
1	4926	2797

prune161.0ms (6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	121	1	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	121	6	127

Merged error: 0.0b

Counts

127 → 6

Compiler

Compiled 2941 to 2051 computations (30.3% saved)

regimes18.0ms (0.7%)

Compiler: Compiled 127 to 97 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample653.0ms (24.2%)

Algorithm

1×

intervals

Results

159.0ms	1960×	body	512	valid
142.0ms	4644×	body	128	valid
55.0ms	1006×	body	256	valid
43.0ms	390×	body	1024	valid

Compiler

Compiled 144 to 113 computations (21.5% saved)

Details

analyze4.0ms (0.1%)

sample17.0ms (0.6%)

simplify171.0ms (6.3%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite64.0ms (2.4%)

series113.0ms (4.2%)

simplify69.0ms (2.6%)

prune141.0ms (5.2%)

localize4.0ms (0.2%)

rewrite7.0ms (0.3%)

series43.0ms (1.6%)

simplify67.0ms (2.5%)

prune34.0ms (1.3%)

localize9.0ms (0.3%)

rewrite30.0ms (1.1%)

series387.0ms (14.3%)

simplify64.0ms (2.4%)

prune141.0ms (5.2%)

localize8.0ms (0.3%)

rewrite46.0ms (1.7%)

series364.0ms (13.5%)

simplify76.0ms (2.8%)

prune161.0ms (6%)

regimes18.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample653.0ms (24.2%)

Profiling