Details

analyze1.4s (8.3%)

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
0.6%	99.1%	0.3%	11
1.8%	98%	0.3%	12
2.6%	97.1%	0.3%	13
4%	95.7%	0.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample26.0ms (0.2%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 35 to 35 computations (0% saved)

simplify186.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4854	25
1	4854	25

prune3.0ms (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: 26.4b

Counts

2 → 1

Compiler

Compiled 34 to 28 computations (17.6% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 y (*.f64 z (-.f64 b y)))
0.0b	(*.f64 z (-.f64 t a))
1.5b	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
25.6b	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_21924`
22×	`*-un-lft-identity_binary64_21902`
20×	`add-cube-cbrt_binary64_21937`
18×	`cancel-sign-sub-inv_binary64_21868`
16×	`associate-+r+_binary64_21834`
12×	`distribute-lft-in_binary64_21851` `distribute-rgt-in_binary64_21852`
9×	`times-frac_binary64_21908`
8×	`add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940` `add-log-exp_binary64_21941`
6×	`sub-neg_binary64_21895` `pow1_binary64_21963`
5×	`associate-r_binary64_21842`
4×	`flip3-+_binary64_21905` `flip-+_binary64_21876`
3×	`associate-l_binary64_21843` `associate-/r_binary64_21846` `associate-/l_binary64_21847`
2×	`+-commutative_binary64_21832` `associate-/r/_binary64_21848` `associate-*r/_binary64_21844` `sum-log_binary64_21993` `associate-/l/_binary64_21849`
1×	`cbrt-unprod_binary64_21935` `clear-num_binary64_21901` `pow-prod-down_binary64_21973` `div-inv_binary64_21899` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `frac-2neg_binary64_21913` `prod-exp_binary64_21951` `flip--_binary64_21877` `div-exp_binary64_21953` `flip3--_binary64_21906` `cbrt-undiv_binary64_21936` `unswap-sqr_binary64_21870` `*-commutative_binary64_21833`

Counts

4 → 99

Calls

4 calls:

8.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 t a))
5.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
4.0ms	(+.f64 y (*.f64 z (-.f64 b y)))

series1.3s (8%)

Counts

4 → 99

Calls

4 calls:

831.0ms	(/.f64 (+.f64 (.f64 x y) (.f64 z (-.f64 t a))) (+.f64 y (*.f64 z (-.f64 b y))))
264.0ms	(+.f64 (.f64 x y) (.f64 z (-.f64 t a)))
137.0ms	(+.f64 y (*.f64 z (-.f64 b y)))
98.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 4247 to 3013 computations (29.1% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4983	4186
1	4983	4186

prune218.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	183	15	198
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	15	199

Merged error: 1.7b

Counts

199 → 15

Compiler

Compiled 5000 to 975 computations (80.5% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 (.f64 z (-.f64 t a)) (+.f64 y (.f64 z (-.f64 b y)))))
0.0b	(*.f64 z (-.f64 t a))
14.4b	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))
21.8b	(/.f64 (.f64 z (-.f64 t a)) (+.f64 y (.f64 z (-.f64 b y))))

rewrite47.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_21924` `*-un-lft-identity_binary64_21902` `add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
12×	`add-cube-cbrt_binary64_21937`
8×	`associate-/r/_binary64_21848`
6×	`cancel-sign-sub-inv_binary64_21868` `times-frac_binary64_21908` `pow1_binary64_21963` `add-log-exp_binary64_21941` `associate-/r*_binary64_21846`
5×	`associate-r_binary64_21842` `flip3-+_binary64_21905` `flip-+_binary64_21876`
4×	`distribute-lft-in_binary64_21851` `div-inv_binary64_21899` `associate-*r/_binary64_21844` `div-exp_binary64_21953` `distribute-rgt-in_binary64_21852` `cbrt-undiv_binary64_21936`
3×	`cbrt-unprod_binary64_21935` `distribute-rgt-out_binary64_21855` `prod-exp_binary64_21951` `associate-l_binary64_21843`
2×	`sub-neg_binary64_21895` `clear-num_binary64_21901` `frac-2neg_binary64_21913` `flip--_binary64_21877` `flip3--_binary64_21906` `associate-/l*_binary64_21847` `associate-/l/_binary64_21849`
1×	`pow-prod-down_binary64_21973` `+-commutative_binary64_21832` `frac-add_binary64_21910` `difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `distribute-lft-out_binary64_21853` `sum-log_binary64_21993` `unswap-sqr_binary64_21870` `*-commutative_binary64_21833`

Counts

4 → 94

Calls

4 calls:

14.0ms	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 (.f64 z (-.f64 t a)) (+.f64 y (.f64 z (-.f64 b y)))))
9.0ms	(/.f64 (.f64 z (-.f64 t a)) (+.f64 y (.f64 z (-.f64 b y))))
7.0ms	(*.f64 z (-.f64 t a))
6.0ms	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))

series2.2s (13.5%)

Counts

4 → 97

Calls

4 calls:

1.3s	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 (.f64 z (-.f64 t a)) (+.f64 y (.f64 z (-.f64 b y)))))
553.0ms	(/.f64 (.f64 z (-.f64 t a)) (+.f64 y (.f64 z (-.f64 b y))))
254.0ms	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))
106.0ms	(*.f64 z (-.f64 t a))

Compiler

Compiled 6502 to 4238 computations (34.8% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4984	5719
1	4984	5719

prune203.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	185	6	191
Fresh	8	6	14
Picked	1	0	1
Done	0	0	0
Total	194	12	206

Merged error: 1.2b

Counts

206 → 12

Compiler

Compiled 6684 to 1184 computations (82.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))))
7.6b	(/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))
9.7b	(/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a)))
14.4b	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))

rewrite96.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

141×	`times-frac_binary64_21908`
108×	`*-un-lft-identity_binary64_21902`
106×	`add-sqr-sqrt_binary64_21924`
74×	`add-cube-cbrt_binary64_21937`
29×	`associate-/r*_binary64_21846`
16×	`difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854` `add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
13×	`associate-/r/_binary64_21848`
7×	`div-inv_binary64_21899` `associate-/l*_binary64_21847`
6×	`div-exp_binary64_21953` `add-log-exp_binary64_21941` `cbrt-undiv_binary64_21936`
5×	`flip--_binary64_21877` `flip3--_binary64_21906`
4×	`pow1_binary64_21963`
3×	`clear-num_binary64_21901` `flip3-+_binary64_21905` `frac-2neg_binary64_21913` `flip-+_binary64_21876`
2×	`associate-/l/_binary64_21849`
1×	`cbrt-unprod_binary64_21935` `+-commutative_binary64_21832` `frac-add_binary64_21910` `prod-exp_binary64_21951` `distribute-lft-out_binary64_21853` `sum-log_binary64_21993`

Counts

4 → 177

Calls

4 calls:

46.0ms	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))))
11.0ms	(/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a)))
8.0ms	(/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))
6.0ms	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))

series2.8s (16.7%)

Counts

4 → 114

Calls

4 calls:

1.3s	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))))
522.0ms	(/.f64 z (/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a)))
471.0ms	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))
450.0ms	(/.f64 (+.f64 y (*.f64 z (-.f64 b y))) (-.f64 t a))

Compiler

Compiled 7952 to 5185 computations (34.8% saved)

simplify110.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

291 → 291

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5166	10631

prune295.0ms (1.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	290	1	291
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	292	11	303

Merged error: 1.2b

Counts

303 → 11

Compiler

Compiled 11186 to 1670 computations (85.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (.f64 z (/.f64 (-.f64 t a) (+.f64 y (.f64 z (-.f64 b y))))))
7.8b	(/.f64 (-.f64 t a) (+.f64 y (*.f64 z (-.f64 b y))))
9.8b	(.f64 z (/.f64 (-.f64 t a) (+.f64 y (.f64 z (-.f64 b y)))))
14.4b	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))

rewrite49.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64_21924`
40×	`*-un-lft-identity_binary64_21902`
34×	`times-frac_binary64_21908`
26×	`add-cube-cbrt_binary64_21937`
21×	`associate-r_binary64_21842`
16×	`add-cbrt-cube_binary64_21938` `add-exp-log_binary64_21940`
7×	`difference-of-squares_binary64_21871` `distribute-lft-out--_binary64_21854`
6×	`associate-/r/_binary64_21848` `pow1_binary64_21963` `add-log-exp_binary64_21941` `associate-/r_binary64_21846` `associate-/l_binary64_21847`
4×	`flip3-+_binary64_21905` `div-exp_binary64_21953` `flip-+_binary64_21876` `cbrt-undiv_binary64_21936`
3×	`cbrt-unprod_binary64_21935` `div-inv_binary64_21899` `prod-exp_binary64_21951` `associate-l_binary64_21843`
2×	`clear-num_binary64_21901` `associate-*r/_binary64_21844` `frac-2neg_binary64_21913` `unswap-sqr_binary64_21870` `associate-/l/_binary64_21849`
1×	`pow-prod-down_binary64_21973` `+-commutative_binary64_21832` `frac-add_binary64_21910` `div-sub_binary64_21907` `flip--_binary64_21877` `flip3--_binary64_21906` `sum-log_binary64_21993` `*-commutative_binary64_21833`

Counts

4 → 115

Calls

4 calls:

12.0ms	(.f64 z (/.f64 (-.f64 t a) (+.f64 y (.f64 z (-.f64 b y)))))
9.0ms	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (.f64 z (/.f64 (-.f64 t a) (+.f64 y (.f64 z (-.f64 b y))))))
8.0ms	(/.f64 (-.f64 t a) (+.f64 y (*.f64 z (-.f64 b y))))
6.0ms	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))

series2.5s (15.4%)

Counts

4 → 109

Calls

4 calls:

1.3s	(+.f64 (/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y)))) (.f64 z (/.f64 (-.f64 t a) (+.f64 y (.f64 z (-.f64 b y))))))
520.0ms	(.f64 z (/.f64 (-.f64 t a) (+.f64 y (.f64 z (-.f64 b y)))))
478.0ms	(/.f64 (-.f64 t a) (+.f64 y (*.f64 z (-.f64 b y))))
265.0ms	(/.f64 (.f64 x y) (+.f64 y (.f64 z (-.f64 b y))))

Compiler

Compiled 7949 to 5216 computations (34.4% saved)

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5159	7720

prune215.0ms (1.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	224	0	224
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	224	11	235

Merged error: 1.2b

Counts

235 → 11

Compiler

Compiled 8207 to 1313 computations (84% saved)

regimes2.5s (15.1%)

Compiler: Compiled 15528 to 9614 computations (38.1% saved)

bsearch55.0ms (0.3%)

Steps

Iters	Range		Point
8	4.067301983749904e+29	3.592385487906289e+33	2.8616937025230026e+33
9	-1.0820877688306307e+51	-2.64946767121782e+45	-1.3995432802805447e+48

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	79	93
1	79	93

end0.0ms (0%)

sample1.9s (11.7%)

Algorithm

1×

intervals

Results

445.0ms	8000×	body	128	valid
20.0ms	390×	body	128	invalid

Compiler

Compiled 2020 to 1243 computations (38.5% saved)

Details

analyze1.4s (8.3%)

sample26.0ms (0.2%)

simplify186.0ms (1.1%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite34.0ms (0.2%)

series1.3s (8%)

simplify89.0ms (0.5%)

prune218.0ms (1.3%)

localize16.0ms (0.1%)

rewrite47.0ms (0.3%)

series2.2s (13.5%)

simplify89.0ms (0.5%)

prune203.0ms (1.2%)

localize14.0ms (0.1%)

rewrite96.0ms (0.6%)

series2.8s (16.7%)

simplify110.0ms (0.7%)

prune295.0ms (1.8%)

localize14.0ms (0.1%)

rewrite49.0ms (0.3%)

series2.5s (15.4%)

simplify103.0ms (0.6%)

prune215.0ms (1.3%)

regimes2.5s (15.1%)

bsearch55.0ms (0.3%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (11.7%)

Profiling