Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 6 to 6 computations (0% saved)

sample9.0ms (0.3%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 12 computations (-9.1% saved)

simplify167.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 6 to 6 computations (0% saved)

localize2.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x 1/3)

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`*-un-lft-identity_binary64_10861` `add-log-exp_binary64_10897` `add-sqr-sqrt_binary64_10882`
1×	`sub-neg_binary64_10854` `distribute-lft-out--_binary64_10815` `diff-log_binary64_10950` `pow1_binary64_10919` `flip--_binary64_10836` `flip3--_binary64_10865` `add-exp-log_binary64_10896` `difference-of-squares_binary64_10830` `add-cube-cbrt_binary64_10893` `add-cbrt-cube_binary64_10894`

Counts

1 → 13

Calls

1 calls:

6.0ms

(-.f64 x 1/3)

series37.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

37.0ms

(-.f64 x 1/3)

simplify114.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4880	118
1	4880	118

prune12.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Merged error: 0.0b

Counts

17 → 2

Compiler

Compiled 117 to 91 computations (22.2% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
0.0b	(-.f64 (pow.f64 x 3) 1/27)
0.2b	(*.f64 x (+.f64 x 1/3))
19.2b	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))

rewrite46.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64_10882`
31×	`*-un-lft-identity_binary64_10861`
24×	`times-frac_binary64_10867`
20×	`difference-of-squares_binary64_10830`
19×	`add-cube-cbrt_binary64_10893`
8×	`associate-/l*_binary64_10808` `add-log-exp_binary64_10897` `add-exp-log_binary64_10896` `add-cbrt-cube_binary64_10894`
6×	`pow1_binary64_10919`
5×	`sqr-pow_binary64_10833` `distribute-lft-out--_binary64_10815` `cube-prod_binary64_10886` `unpow-prod-down_binary64_10937`
4×	`associate-r_binary64_10803`
3×	`flip3-+_binary64_10864` `associate-/r_binary64_10807` `flip-+_binary64_10835` `associate-l*_binary64_10804`
2×	`associate-/r/_binary64_10809` `associate-+r+_binary64_10795` `associate-*r/_binary64_10805` `flip--_binary64_10836` `distribute-rgt-in_binary64_10813` `distribute-lft-in_binary64_10812` `flip3--_binary64_10865` `associate-/l/_binary64_10810`
1×	`prod-exp_binary64_10907` `sub-neg_binary64_10854` `+-commutative_binary64_10793` `cbrt-undiv_binary64_10892` `pow-prod-down_binary64_10929` `diff-log_binary64_10950` `cbrt-unprod_binary64_10891` `*-commutative_binary64_10794` `div-inv_binary64_10858` `unswap-sqr_binary64_10829` `frac-2neg_binary64_10872` `clear-num_binary64_10860` `sum-log_binary64_10949` `div-exp_binary64_10909` `div-sub_binary64_10866` `distribute-lft-out_binary64_10814`

Counts

4 → 104

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
9.0ms	(-.f64 (pow.f64 x 3) 1/27)
8.0ms	(*.f64 x (+.f64 x 1/3))
5.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

series358.0ms (10.8%)

Counts

4 → 12

Calls

4 calls:

180.0ms	(/.f64 (-.f64 (pow.f64 x 3) 1/27) (+.f64 1/9 (*.f64 x (+.f64 x 1/3))))
99.0ms	(-.f64 (pow.f64 x 3) 1/27)
58.0ms	(*.f64 x (+.f64 x 1/3))
21.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

simplify78.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4955	2384
1	4955	2384

prune160.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	115	3	118

Merged error: 0b

Counts

118 → 3

Compiler

Compiled 2445 to 1932 computations (21% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))
0.1b	(/.f64 1 (/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (-.f64 (pow.f64 x 3) 1/27)))
0.2b	(*.f64 x (+.f64 x 1/3))
19.7b	(/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (-.f64 (pow.f64 x 3) 1/27))

rewrite77.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`add-sqr-sqrt_binary64_10882`
210×	`times-frac_binary64_10867`
132×	`*-un-lft-identity_binary64_10861`
98×	`add-cube-cbrt_binary64_10893`
64×	`difference-of-squares_binary64_10830`
38×	`associate-/r*_binary64_10807`
19×	`add-exp-log_binary64_10896`
16×	`sqr-pow_binary64_10833` `distribute-lft-out--_binary64_10815` `cube-prod_binary64_10886` `unpow-prod-down_binary64_10937`
13×	`add-cbrt-cube_binary64_10894`
11×	`associate-/r/_binary64_10809`
8×	`div-exp_binary64_10909`
7×	`pow1_binary64_10919`
6×	`associate-/l*_binary64_10808` `div-inv_binary64_10858` `add-log-exp_binary64_10897`
5×	`flip--_binary64_10836` `flip3--_binary64_10865`
4×	`cbrt-undiv_binary64_10892` `associate-r_binary64_10803`
3×	`flip3-+_binary64_10864` `flip-+_binary64_10835` `associate-l_binary64_10804`
2×	`associate-+r+_binary64_10795` `associate-*r/_binary64_10805` `1-exp_binary64_10902` `frac-2neg_binary64_10872` `distribute-rgt-in_binary64_10813` `clear-num_binary64_10860` `distribute-lft-in_binary64_10812` `rec-exp_binary64_10908` `associate-/l/_binary64_10810`
1×	`prod-exp_binary64_10907` `pow-flip_binary64_10932` `+-commutative_binary64_10793` `pow-prod-down_binary64_10929` `cbrt-unprod_binary64_10891` `*-commutative_binary64_10794` `unswap-sqr_binary64_10829` `sum-log_binary64_10949` `inv-pow_binary64_10943` `distribute-lft-out_binary64_10814`

Counts

4 → 231

Calls

4 calls:

19.0ms	(/.f64 1 (/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (-.f64 (pow.f64 x 3) 1/27)))
14.0ms	(/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (-.f64 (pow.f64 x 3) 1/27))
7.0ms	(*.f64 x (+.f64 x 1/3))
4.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

series296.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

164.0ms	(/.f64 1 (/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (-.f64 (pow.f64 x 3) 1/27)))
61.0ms	(*.f64 x (+.f64 x 1/3))
49.0ms	(/.f64 (+.f64 1/9 (*.f64 x (+.f64 x 1/3))) (-.f64 (pow.f64 x 3) 1/27))
21.0ms	(+.f64 1/9 (*.f64 x (+.f64 x 1/3)))

simplify114.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4990	7745
1	4990	7745

prune487.0ms (14.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	243	3	246

Merged error: 0b

Counts

246 → 3

Compiler

Compiled 6579 to 5191 computations (21.1% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 x 3) (pow.f64 x 3))
0.2b	(*.f64 x (+.f64 x 1/3))
0.5b	(.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27))
25.4b	(/.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 1/27 1/27)) (.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))

rewrite81.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_10882`
30×	`*-un-lft-identity_binary64_10861`
26×	`cube-prod_binary64_10886` `unpow-prod-down_binary64_10937` `add-cube-cbrt_binary64_10893`
25×	`add-exp-log_binary64_10896`
20×	`associate-r_binary64_10803`
18×	`swap-sqr_binary64_10828` `unswap-sqr_binary64_10829` `associate-l_binary64_10804`
15×	`add-cbrt-cube_binary64_10894`
13×	`flip3-+_binary64_10864` `flip-+_binary64_10835`
12×	`prod-exp_binary64_10907` `sqr-pow_binary64_10833`
8×	`associate-/r/_binary64_10809` `frac-times_binary64_10871` `pow1_binary64_10919`
6×	`pow-to-exp_binary64_10927` `associate-*r/_binary64_10805` `pow-exp_binary64_10926`
4×	`associate-/l_binary64_10808` `unpow3_binary64_10924` `cube-mult_binary64_10888` `cbrt-unprod_binary64_10891` `times-frac_binary64_10867` `associate-l/_binary64_10806` `add-log-exp_binary64_10897`
3×	`pow-prod-down_binary64_10929` `*-commutative_binary64_10794`
2×	`cbrt-undiv_binary64_10892` `distribute-rgt-in_binary64_10813` `div-exp_binary64_10909` `distribute-lft-in_binary64_10812` `difference-of-squares_binary64_10830` `associate-/l/_binary64_10810` `distribute-lft-out_binary64_10814`
1×	`pow-sqr_binary64_10834` `pow2_binary64_10939` `flip--_binary64_10836` `div-inv_binary64_10858` `frac-2neg_binary64_10872` `associate-/r*_binary64_10807` `pow-prod-up_binary64_10928` `clear-num_binary64_10860` `div-sub_binary64_10866` `flip3--_binary64_10865`

Counts

4 → 166

Calls

4 calls:

28.0ms	(/.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 1/27 1/27)) (.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
14.0ms	(.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27))
12.0ms	(*.f64 (pow.f64 x 3) (pow.f64 x 3))
7.0ms	(*.f64 x (+.f64 x 1/3))

series423.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

273.0ms	(/.f64 (-.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (.f64 1/27 1/27)) (.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27)))
61.0ms	(*.f64 (pow.f64 x 3) (pow.f64 x 3))
56.0ms	(*.f64 x (+.f64 x 1/3))
33.0ms	(.f64 (+.f64 1/9 (.f64 x (+.f64 x 1/3))) (+.f64 (pow.f64 x 3) 1/27))

simplify78.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5374	2814

prune368.0ms (11.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	178	3	181

Merged error: 0b

Counts

181 → 3

Compiler

Compiled 5107 to 4023 computations (21.2% saved)

regimes13.0ms (0.4%)

Compiler: Compiled 45 to 39 computations (13.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	14	4

end0.0ms (0%)

sample331.0ms (10%)

Algorithm

1×

intervals

Results

144.0ms

8000×

body

128

valid

Compiler

Compiled 52 to 47 computations (9.6% saved)

Details

analyze3.0ms (0.1%)

sample9.0ms (0.3%)

simplify167.0ms (5.1%)

prune4.0ms (0.1%)

localize2.0ms (0.1%)

rewrite7.0ms (0.2%)

series37.0ms (1.1%)

simplify114.0ms (3.5%)

prune12.0ms (0.4%)

localize10.0ms (0.3%)

rewrite46.0ms (1.4%)

series358.0ms (10.8%)

simplify78.0ms (2.4%)

prune160.0ms (4.9%)

localize11.0ms (0.3%)

rewrite77.0ms (2.3%)

series296.0ms (8.9%)

simplify114.0ms (3.4%)

prune487.0ms (14.8%)

localize15.0ms (0.4%)

rewrite81.0ms (2.4%)

series423.0ms (12.8%)

simplify78.0ms (2.4%)

prune368.0ms (11.1%)

regimes13.0ms (0.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample331.0ms (10%)

Profiling