Details

analyze647.0ms (10.9%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
0%	99.9%	0.1%	8
12.5%	85.8%	1.7%	9
16.4%	79.2%	4.4%	10
20.7%	72.4%	7%	11
32.6%	53.3%	14.1%	12
36%	45.5%	18.5%	13
38.3%	41.1%	20.6%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
4.0ms	84×	body	128	invalid

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify169.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4898	19
1	4898	19

prune5.0ms (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: 8.9b

Counts

2 → 2

Compiler

Compiled 41 to 31 computations (24.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
0.3b	(-.f64 (.f64 z z) (.f64 x x))
8.8b	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64_16809`
15×	`*-un-lft-identity_binary64_16787`
13×	`times-frac_binary64_16793` `add-cube-cbrt_binary64_16822`
7×	`add-log-exp_binary64_16826` `difference-of-squares_binary64_16756`
5×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
4×	`cancel-sign-sub-inv_binary64_16753` `associate-/l*_binary64_16732`
3×	`pow1_binary64_16848` `flip3--_binary64_16791` `associate-/r*_binary64_16731` `flip--_binary64_16762`
2×	`diff-log_binary64_16879` `div-sub_binary64_16792` `sub-neg_binary64_16780` `associate-/l/_binary64_16734`
1×	`cbrt-undiv_binary64_16821` `div-exp_binary64_16838` `clear-num_binary64_16786` `distribute-lft-out--_binary64_16739` `associate--l-_binary64_16725` `frac-2neg_binary64_16798` `div-inv_binary64_16784`

Counts

3 → 65

Calls

3 calls:

11.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
6.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
4.0ms	(-.f64 (.f64 z z) (.f64 x x))

series577.0ms (9.7%)

Counts

3 → 45

Calls

3 calls:

256.0ms	(-.f64 (/.f64 (-.f64 (.f64 z z) (.f64 x x)) y) y)
217.0ms	(/.f64 (-.f64 (.f64 z z) (.f64 x x)) y)
104.0ms	(-.f64 (.f64 z z) (.f64 x x))

Compiler

Compiled 945 to 875 computations (7.4% saved)

simplify64.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4965	1829
1	4965	1829

prune102.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

Compiler

Compiled 1950 to 607 computations (68.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
0.0b	(/.f64 (-.f64 z x) y)
0.2b	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))

rewrite42.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64_16809`
40×	`*-un-lft-identity_binary64_16787`
31×	`times-frac_binary64_16793`
24×	`add-cube-cbrt_binary64_16822`
19×	`associate-r_binary64_16727`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
7×	`difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
5×	`add-log-exp_binary64_16826` `associate-/l*_binary64_16732` `pow1_binary64_16848`
4×	`associate-l_binary64_16728`
3×	`cancel-sign-sub-inv_binary64_16753` `associate-/r*_binary64_16731`
2×	`cbrt-undiv_binary64_16821` `cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `div-exp_binary64_16838` `flip3--_binary64_16791` `associate-/l/_binary64_16734` `flip-+_binary64_16761` `frac-times_binary64_16797` `unswap-sqr_binary64_16755` `flip--_binary64_16762` `associate-*l/_binary64_16730` `div-inv_binary64_16784` `flip3-+_binary64_16790`
1×	`diff-log_binary64_16879` `div-sub_binary64_16792` `sub-neg_binary64_16780` `clear-num_binary64_16786` `-commutative_binary64_16718` `associate-r/_binary64_16729` `distribute-lft-out_binary64_16738` `frac-2neg_binary64_16798` `pow-prod-down_binary64_16858`

Counts

3 → 95

Calls

3 calls:

14.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))
14.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
6.0ms	(/.f64 (-.f64 z x) y)

series591.0ms (10%)

Counts

3 → 48

Calls

3 calls:

264.0ms	(-.f64 (*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y)) y)
203.0ms	(*.f64 (+.f64 z x) (/.f64 (-.f64 z x) y))
123.0ms	(/.f64 (-.f64 z x) y)

Compiler

Compiled 1061 to 921 computations (13.2% saved)

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5553	2113

prune114.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	140	7	147

Merged error: 0b

Counts

147 → 7

Compiler

Compiled 2642 to 829 computations (68.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
0.0b	(/.f64 y (-.f64 z x))
0.3b	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))

rewrite80.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

177×	`times-frac_binary64_16793`
165×	`*-un-lft-identity_binary64_16787`
128×	`add-sqr-sqrt_binary64_16809`
81×	`add-cube-cbrt_binary64_16822`
26×	`associate-/r*_binary64_16731`
22×	`difference-of-squares_binary64_16756` `distribute-lft-out_binary64_16738`
20×	`distribute-lft-out--_binary64_16739`
13×	`associate-/r/_binary64_16733`
10×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
7×	`associate-/l*_binary64_16732` `flip3--_binary64_16791` `flip--_binary64_16762` `div-inv_binary64_16784`
5×	`add-log-exp_binary64_16826`
4×	`cbrt-undiv_binary64_16821` `div-exp_binary64_16838`
3×	`cancel-sign-sub-inv_binary64_16753` `pow1_binary64_16848`
2×	`clear-num_binary64_16786` `associate-/l/_binary64_16734` `frac-2neg_binary64_16798`
1×	`diff-log_binary64_16879` `sub-neg_binary64_16780` `flip-+_binary64_16761` `flip3-+_binary64_16790`

Counts

3 → 181

Calls

3 calls:

41.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
12.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
6.0ms	(/.f64 y (-.f64 z x))

series609.0ms (10.3%)

Counts

3 → 54

Calls

3 calls:

259.0ms	(-.f64 (/.f64 (+.f64 z x) (/.f64 y (-.f64 z x))) y)
220.0ms	(/.f64 (+.f64 z x) (/.f64 y (-.f64 z x)))
130.0ms	(/.f64 y (-.f64 z x))

Compiler

Compiled 1325 to 1108 computations (16.4% saved)

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5009	5079

prune188.0ms (3.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	234	1	235
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	235	7	242

Merged error: 0b

Counts

242 → 7

Compiler

Compiled 5021 to 1342 computations (73.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 y)
0.6b	(cbrt.f64 (-.f64 z x))
0.6b	(cbrt.f64 (-.f64 z x))
0.6b	(cbrt.f64 (-.f64 z x))

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_16818`
14×	`add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
8×	`add-cube-cbrt_binary64_16822`
6×	`cbrt-div_binary64_16819`
4×	`add-log-exp_binary64_16826` `pow1_binary64_16848` `add-exp-log_binary64_16825` `pow1/3_binary64_16869` `add-cbrt-cube_binary64_16823`
3×	`difference-of-squares_binary64_16756` `flip3--_binary64_16791` `distribute-lft-out--_binary64_16739` `flip--_binary64_16762`

Counts

4 → 56

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 z x))
4.0ms	(cbrt.f64 (-.f64 z x))
3.0ms	(cbrt.f64 (-.f64 z x))
1.0ms	(cbrt.f64 y)

series440.0ms (7.4%)

Counts

4 → 36

Calls

4 calls:

118.0ms	(cbrt.f64 (-.f64 z x))
116.0ms	(cbrt.f64 (-.f64 z x))
111.0ms	(cbrt.f64 (-.f64 z x))
95.0ms	(cbrt.f64 y)

Compiler

Compiled 2513 to 1709 computations (32% saved)

simplify88.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4953	1126
1	4953	1126

prune105.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	92	7	99

Merged error: 0b

Counts

99 → 7

Compiler

Compiled 3340 to 870 computations (74% saved)

regimes469.0ms (7.9%)

Compiler: Compiled 4921 to 3033 computations (38.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms (0%)

sample1.4s (22.9%)

Algorithm

1×

intervals

Results

357.0ms	8000×	body	128	valid
125.0ms	2863×	body	128	invalid

Compiler

Compiled 708 to 446 computations (37% saved)

Details

analyze647.0ms (10.9%)

sample24.0ms (0.4%)

simplify169.0ms (2.9%)

prune5.0ms (0.1%)

localize8.0ms (0.1%)

rewrite26.0ms (0.4%)

series577.0ms (9.7%)

simplify64.0ms (1.1%)

prune102.0ms (1.7%)

localize8.0ms (0.1%)

rewrite42.0ms (0.7%)

series591.0ms (10%)

simplify66.0ms (1.1%)

prune114.0ms (1.9%)

localize9.0ms (0.1%)

rewrite80.0ms (1.3%)

series609.0ms (10.3%)

simplify98.0ms (1.6%)

prune188.0ms (3.2%)

localize20.0ms (0.3%)

rewrite18.0ms (0.3%)

series440.0ms (7.4%)

simplify88.0ms (1.5%)

prune105.0ms (1.8%)

regimes469.0ms (7.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (22.9%)

Profiling