Details

analyze3.0s (20.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample87.0ms (0.6%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
18.0ms	164×	body	128	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify288.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4917	25
1	4917	25

prune10.0ms (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 53 to 52 computations (1.9% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (.f64 x 9) y)
0.9b	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
4.3b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
11.7b	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)

rewrite83.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220` `add-sqr-sqrt_binary64_21242`
18×	`times-frac_binary64_21226`
13×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
9×	`pow1_binary64_21281`
6×	`add-log-exp_binary64_21259` `associate-/r_binary64_21164` `associate-/l_binary64_21165`
4×	`associate-/l/_binary64_21167`
3×	`associate-r_binary64_21160` `flip3-+_binary64_21223` `prod-exp_binary64_21269` `pow-prod-down_binary64_21291` `cbrt-unprod_binary64_21253` `flip-+_binary64_21194`
2×	`div-exp_binary64_21271` `div-inv_binary64_21217` `cbrt-undiv_binary64_21254` `clear-num_binary64_21219` `frac-2neg_binary64_21231`
1×	`-commutative_binary64_21151` `sum-log_binary64_21311` `associate-l*_binary64_21161` `+-commutative_binary64_21150`

Counts

4 → 87

Calls

4 calls:

26.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
19.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
14.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
9.0ms	(.f64 (.f64 x 9) y)

series654.0ms (4.6%)

Counts

4 → 12

Calls

4 calls:

276.0ms	(/.f64 (+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4)) c)
252.0ms	(+.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 (.f64 t a) -4))
95.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
31.0ms	(.f64 (.f64 x 9) y)

simplify150.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5785	2384

prune256.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	91	10	101

Merged error: 8.4b

Counts

101 → 10

Compiler

Compiled 2748 to 1614 computations (41.3% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
3.9b	(/.f64 b (*.f64 z c))
7.0b	(/.f64 (*.f64 t a) c)
9.9b	(/.f64 (.f64 x y) (.f64 z c))

rewrite53.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
15×	`prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
12×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `add-sqr-sqrt_binary64_21242`
10×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
8×	`times-frac_binary64_21226`
6×	`pow1_binary64_21281`
5×	`associate-r_binary64_21160` `associate-/r_binary64_21164` `associate-/l_binary64_21165`
4×	`add-log-exp_binary64_21259` `div-inv_binary64_21217`
3×	`clear-num_binary64_21219` `associate-l_binary64_21161` `frac-2neg_binary64_21231`
1×	`-commutative_binary64_21151` `associate-r/_binary64_21162` `pow-prod-down_binary64_21291` `unswap-sqr_binary64_21188`

Counts

4 → 92

Calls

4 calls:

14.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
10.0ms	(/.f64 (.f64 x y) (.f64 z c))
7.0ms	(/.f64 (*.f64 t a) c)
7.0ms	(/.f64 b (*.f64 z c))

series190.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
46.0ms	(/.f64 (.f64 x y) (.f64 z c))
37.0ms	(/.f64 b (*.f64 z c))
36.0ms	(/.f64 (*.f64 t a) c)

simplify135.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4965	1189
1	4965	1189

prune224.0ms (1.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	97	7	104
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	101	13	114

Merged error: 0.3b

Counts

114 → 13

Compiler

Compiled 3033 to 1112 computations (63.3% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
3.9b	(/.f64 b (*.f64 z c))
4.5b	(*.f64 t (/.f64 a c))
9.9b	(/.f64 (.f64 x y) (.f64 z c))

rewrite71.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
23×	`add-sqr-sqrt_binary64_21242`
18×	`associate-r_binary64_21160`
16×	`add-cube-cbrt_binary64_21255` `prod-exp_binary64_21269` `cbrt-unprod_binary64_21253` `*-un-lft-identity_binary64_21220`
15×	`times-frac_binary64_21226`
11×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254`
8×	`pow1_binary64_21281`
6×	`associate-l_binary64_21161`
4×	`add-log-exp_binary64_21259` `div-inv_binary64_21217` `associate-/l*_binary64_21165`
3×	`unswap-sqr_binary64_21188`
2×	`-commutative_binary64_21151` `associate-r/_binary64_21162` `associate-/r*_binary64_21164` `pow-prod-down_binary64_21291` `clear-num_binary64_21219` `frac-2neg_binary64_21231`

Counts

4 → 103

Calls

4 calls:

16.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
15.0ms	(*.f64 t (/.f64 a c))
12.0ms	(/.f64 (.f64 x y) (.f64 z c))
9.0ms	(/.f64 b (*.f64 z c))

series203.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

71.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
63.0ms	(/.f64 (.f64 x y) (.f64 z c))
35.0ms	(*.f64 t (/.f64 a c))
35.0ms	(/.f64 b (*.f64 z c))

simplify138.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	4985	1318
1	4985	1318

prune217.0ms (1.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	113	2	115
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	117	11	128

Merged error: 0.0b

Counts

128 → 11

Compiler

Compiled 3362 to 1188 computations (64.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
3.9b	(/.f64 b (*.f64 z c))
4.9b	(/.f64 t (/.f64 c a))
9.9b	(/.f64 (.f64 x y) (.f64 z c))

rewrite79.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

80×	`times-frac_binary64_21226`
52×	`add-sqr-sqrt_binary64_21242`
50×	`add-cube-cbrt_binary64_21255` `*-un-lft-identity_binary64_21220`
44×	`add-cbrt-cube_binary64_21256` `add-exp-log_binary64_21258`
15×	`associate-/r*_binary64_21164`
14×	`prod-exp_binary64_21269` `cbrt-unprod_binary64_21253`
13×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254`
8×	`div-inv_binary64_21217`
7×	`associate-/l*_binary64_21165`
6×	`pow1_binary64_21281`
5×	`associate-r_binary64_21160`
4×	`add-log-exp_binary64_21259`
3×	`clear-num_binary64_21219` `associate-l_binary64_21161` `frac-2neg_binary64_21231`
1×	`-commutative_binary64_21151` `associate-r/_binary64_21162` `pow-prod-down_binary64_21291` `associate-/r/_binary64_21166` `unswap-sqr_binary64_21188`

Counts

4 → 141

Calls

4 calls:

19.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
12.0ms	(/.f64 t (/.f64 c a))
11.0ms	(/.f64 (.f64 x y) (.f64 z c))
8.0ms	(/.f64 b (*.f64 z c))

series189.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
48.0ms	(/.f64 (.f64 x y) (.f64 z c))
37.0ms	(/.f64 t (/.f64 c a))
31.0ms	(/.f64 b (*.f64 z c))

simplify160.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5004	2172

prune264.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	152	1	153
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	153	11	164

Merged error: 0.0b

Counts

164 → 11

Compiler

Compiled 4341 to 1289 computations (70.3% saved)

regimes3.1s (21.5%)

Compiler: Compiled 13698 to 11430 computations (16.6% saved)

bsearch6.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	157	284
1	157	284

end0.0ms (0%)

sample4.6s (32.3%)

Algorithm

1×

intervals

Results

904.0ms	8000×	body	128	valid
566.0ms	4798×	body	128	invalid

Compiler

Compiled 1664 to 1273 computations (23.5% saved)

Details

analyze3.0s (20.9%)

sample87.0ms (0.6%)

simplify288.0ms (2%)

prune10.0ms (0.1%)

localize27.0ms (0.2%)

rewrite83.0ms (0.6%)

series654.0ms (4.6%)

simplify150.0ms (1.1%)

prune256.0ms (1.8%)

localize30.0ms (0.2%)

rewrite53.0ms (0.4%)

series190.0ms (1.3%)

simplify135.0ms (0.9%)

prune224.0ms (1.6%)

localize32.0ms (0.2%)

rewrite71.0ms (0.5%)

series203.0ms (1.4%)

simplify138.0ms (1%)

prune217.0ms (1.5%)

localize30.0ms (0.2%)

rewrite79.0ms (0.6%)

series189.0ms (1.3%)

simplify160.0ms (1.1%)

prune264.0ms (1.9%)

regimes3.1s (21.5%)

bsearch6.0ms (0%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample4.6s (32.3%)

Profiling