Details

analyze693.0ms (10.1%)

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
7.8%	92%	0.2%	8
16.4%	83.4%	0.2%	9
23.8%	76%	0.2%	10
25.1%	74.7%	0.2%	11
38.1%	59.4%	2.5%	12
41.8%	55.3%	2.9%	13
46.5%	50.3%	3.1%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
3.0ms	74×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify362.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (266.0ms)

Iter	Nodes	Cost
0	1484	16
1	1484	16

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: 6.8b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
0.0b	(/.f64 t (-.f64 1 z))
6.5b	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))

rewrite82.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

111×	`add-sqr-sqrt_binary64_14763`
107×	`*-un-lft-identity_binary64_14741`
88×	`times-frac_binary64_14747`
72×	`cancel-sign-sub-inv_binary64_14707`
46×	`add-cube-cbrt_binary64_14776`
34×	`difference-of-squares_binary64_14710`
25×	`distribute-lft-in_binary64_14690` `distribute-rgt-in_binary64_14691`
21×	`distribute-lft-out--_binary64_14693`
10×	`associate-r_binary64_14681`
8×	`associate-/r/_binary64_14687`
7×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
6×	`associate-/r*_binary64_14685` `flip--_binary64_14716` `flip3--_binary64_14745`
5×	`add-log-exp_binary64_14780` `pow1_binary64_14802`
4×	`div-inv_binary64_14738`
3×	`associate-r/_binary64_14683` `associate-/l_binary64_14686` `sub-neg_binary64_14734` `associate-l_binary64_14682`
2×	`frac-sub_binary64_14750`
1×	`unswap-sqr_binary64_14709` `frac-2neg_binary64_14752` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774` `pow-prod-down_binary64_14812` `div-exp_binary64_14792` `diff-log_binary64_14833` `*-commutative_binary64_14672` `prod-exp_binary64_14790` `clear-num_binary64_14740`

Counts

3 → 162

Calls

3 calls:

30.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
28.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
6.0ms	(/.f64 t (-.f64 1 z))

series494.0ms (7.2%)

Counts

3 → 55

Calls

3 calls:

286.0ms	(*.f64 x (-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z))))
155.0ms	(-.f64 (/.f64 y z) (/.f64 t (-.f64 1 z)))
53.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 976 to 850 computations (12.9% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5220	3837

prune186.0ms (2.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	210	7	217
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	211	7	218

Merged error: 1.3b

Counts

218 → 7

Compiler

Compiled 3680 to 1726 computations (53.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
0.0b	(/.f64 t (-.f64 1 z))
3.3b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
8.1b	(*.f64 x (/.f64 y z))

rewrite56.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`add-sqr-sqrt_binary64_14763`
75×	`*-un-lft-identity_binary64_14741`
65×	`associate-r_binary64_14681`
64×	`times-frac_binary64_14747`
45×	`add-cube-cbrt_binary64_14776`
24×	`distribute-rgt-neg-in_binary64_14699` `distribute-lft-neg-in_binary64_14698`
20×	`difference-of-squares_binary64_14710`
13×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
10×	`distribute-lft-out--_binary64_14693`
8×	`pow1_binary64_14802`
6×	`associate-/r_binary64_14685` `add-log-exp_binary64_14780` `associate-/r/_binary64_14687` `associate-l*_binary64_14682`
4×	`div-inv_binary64_14738` `associate-*r/_binary64_14683`
3×	`unswap-sqr_binary64_14709` `cbrt-unprod_binary64_14774` `associate-/l*_binary64_14686` `prod-exp_binary64_14790` `flip--_binary64_14716` `flip3--_binary64_14745`
2×	`distribute-rgt-neg-out_binary64_14701` `cbrt-undiv_binary64_14775` `distribute-neg-frac_binary64_14705` `pow-prod-down_binary64_14812` `div-exp_binary64_14792` `*-commutative_binary64_14672`
1×	`frac-add_binary64_14749` `unsub-neg_binary64_14735` `frac-2neg_binary64_14752` `distribute-lft-out_binary64_14692` `+-commutative_binary64_14671` `flip-+_binary64_14715` `sum-log_binary64_14832` `neg-mul-1_binary64_14737` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

4 → 156

Calls

4 calls:

18.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
9.0ms	(*.f64 x (/.f64 y z))
6.0ms	(/.f64 t (-.f64 1 z))
6.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))

series602.0ms (8.7%)

Counts

4 → 56

Calls

4 calls:

283.0ms	(+.f64 (.f64 x (/.f64 y z)) (.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
147.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
108.0ms	(*.f64 x (/.f64 y z))
64.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 1295 to 1079 computations (16.7% saved)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

212 → 212

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4991	2867
1	4991	2867

prune193.0ms (2.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	206	6	212
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	208	11	219

Merged error: 0.0b

Counts

219 → 11

Compiler

Compiled 4162 to 1920 computations (53.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) (*.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
0.0b	(/.f64 t (-.f64 1 z))
3.3b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
5.4b	(.f64 (.f64 x y) (/.f64 1 z))

rewrite61.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_14763`
74×	`*-un-lft-identity_binary64_14741`
65×	`associate-r_binary64_14681`
63×	`times-frac_binary64_14747`
44×	`add-cube-cbrt_binary64_14776`
30×	`add-exp-log_binary64_14779`
24×	`distribute-rgt-neg-in_binary64_14699` `distribute-lft-neg-in_binary64_14698`
20×	`add-cbrt-cube_binary64_14777` `difference-of-squares_binary64_14710`
13×	`prod-exp_binary64_14790`
11×	`pow1_binary64_14802`
10×	`distribute-lft-out--_binary64_14693`
7×	`cbrt-unprod_binary64_14774`
6×	`associate-/r*_binary64_14685` `add-log-exp_binary64_14780` `associate-/r/_binary64_14687`
5×	`associate-*r/_binary64_14683` `div-exp_binary64_14792`
4×	`div-inv_binary64_14738` `pow-prod-down_binary64_14812` `associate-l_binary64_14682`
3×	`cbrt-undiv_binary64_14775` `distribute-neg-frac_binary64_14705` `associate-/l*_binary64_14686` `flip--_binary64_14716` `flip3--_binary64_14745`
2×	`frac-add_binary64_14749` `distribute-rgt-neg-out_binary64_14701` `1-exp_binary64_14785` `*-commutative_binary64_14672` `rec-exp_binary64_14791` `un-div-inv_binary64_14739`
1×	`unswap-sqr_binary64_14709` `unsub-neg_binary64_14735` `frac-2neg_binary64_14752` `+-commutative_binary64_14671` `flip-+_binary64_14715` `sum-log_binary64_14832` `neg-mul-1_binary64_14737` `clear-num_binary64_14740` `flip3-+_binary64_14744`

Counts

4 → 162

Calls

4 calls:

21.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
8.0ms	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) (*.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
8.0ms	(.f64 (.f64 x y) (/.f64 1 z))
6.0ms	(/.f64 t (-.f64 1 z))

series613.0ms (8.9%)

Counts

4 → 56

Calls

4 calls:

297.0ms	(+.f64 (.f64 (.f64 x y) (/.f64 1 z)) (*.f64 x (neg.f64 (/.f64 t (-.f64 1 z)))))
143.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
111.0ms	(.f64 (.f64 x y) (/.f64 1 z))
63.0ms	(/.f64 t (-.f64 1 z))

Compiler

Compiled 1367 to 1151 computations (15.8% saved)

simplify86.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4966	2913
1	4966	2913

prune219.0ms (3.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	215	14	229

Merged error: 0.0b

Counts

229 → 14

Compiler

Compiled 4596 to 2458 computations (46.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
3.3b	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
4.1b	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))

rewrite52.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

74×	`associate-r_binary64_14681`
61×	`add-sqr-sqrt_binary64_14763`
59×	`*-un-lft-identity_binary64_14741`
54×	`times-frac_binary64_14747`
41×	`add-cube-cbrt_binary64_14776`
27×	`add-exp-log_binary64_14779`
24×	`distribute-rgt-neg-in_binary64_14699` `distribute-lft-neg-in_binary64_14698`
20×	`add-cbrt-cube_binary64_14777`
15×	`cbrt-prod_binary64_14772` `pow1_binary64_14802`
13×	`cbrt-unprod_binary64_14774` `prod-exp_binary64_14790`
12×	`difference-of-squares_binary64_14710`
7×	`pow-prod-down_binary64_14812`
6×	`distribute-lft-out--_binary64_14693`
4×	`add-log-exp_binary64_14780` `associate-/r/_binary64_14687` `associate-l_binary64_14682`
3×	`div-inv_binary64_14738` `cbrt-undiv_binary64_14775` `div-exp_binary64_14792`
2×	`pow1/3_binary64_14823` `associate-r/_binary64_14683` `-commutative_binary64_14672` `flip--_binary64_14716` `flip3--_binary64_14745`
1×	`unswap-sqr_binary64_14709` `distribute-rgt-neg-out_binary64_14701` `distribute-neg-frac_binary64_14705` `neg-mul-1_binary64_14737`

Counts

4 → 138

Calls

4 calls:

18.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
14.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series467.0ms (6.8%)

Counts

4 → 28

Calls

4 calls:

138.0ms	(*.f64 x (neg.f64 (/.f64 t (-.f64 1 z))))
128.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (cbrt.f64 y) z))
103.0ms	(cbrt.f64 y)
97.0ms	(cbrt.f64 y)

Compiler

Compiled 1053 to 805 computations (23.6% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4950	1931
1	4950	1931

prune157.0ms (2.3%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	166	14	180

Merged error: 0.0b

Counts

180 → 14

Compiler

Compiled 4058 to 1578 computations (61.1% saved)

regimes670.0ms (9.7%)

Compiler: Compiled 6377 to 4969 computations (22.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	104	103
1	104	103

end0.0ms (0%)

sample1.6s (22.6%)

Algorithm

1×

intervals

Results

321.0ms	8000×	body	128	valid
68.0ms	1795×	body	128	invalid

Compiler

Compiled 1144 to 872 computations (23.8% saved)

Details

analyze693.0ms (10.1%)

sample23.0ms (0.3%)

simplify362.0ms (5.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite82.0ms (1.2%)

series494.0ms (7.2%)

simplify89.0ms (1.3%)

prune186.0ms (2.7%)

localize10.0ms (0.2%)

rewrite56.0ms (0.8%)

series602.0ms (8.7%)

simplify82.0ms (1.2%)

prune193.0ms (2.8%)

localize11.0ms (0.2%)

rewrite61.0ms (0.9%)

series613.0ms (8.9%)

simplify86.0ms (1.3%)

prune219.0ms (3.2%)

localize18.0ms (0.3%)

rewrite52.0ms (0.8%)

series467.0ms (6.8%)

simplify89.0ms (1.3%)

prune157.0ms (2.3%)

regimes670.0ms (9.7%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.6s (22.6%)

Profiling