Details

analyze2.7s (17.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	863	304
1	863	304
0	6	6
1	6	6

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
1.8%	98%	0.3%	13
2.4%	97.3%	0.3%	14

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample57.0ms (0.4%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
10.0ms	134×	body	128	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	81	19
1	81	19

prune12.0ms (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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 41 to 37 computations (9.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y z))
0.0b	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
0.0b	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
6.8b	(.f64 (.f64 a z) b)

rewrite45.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_17849`
10×	`sum-log_binary64_17901`
9×	`add-exp-log_binary64_17848` `pow1_binary64_17871` `add-cbrt-cube_binary64_17846`
5×	`add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845`
3×	`cbrt-unprod_binary64_17843` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `associate-r_binary64_17750` `flip-+_binary64_17784` `+-commutative_binary64_17740` `flip3-+_binary64_17813`
2×	`associate-+l+_binary64_17743`
1×	`-commutative_binary64_17741` `associate-l*_binary64_17751`

Counts

4 → 56

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
9.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
8.0ms	(.f64 (.f64 a z) b)
5.0ms	(+.f64 x (*.f64 y z))

series1.2s (7.7%)

Counts

4 → 93

Calls

4 calls:

591.0ms	(+.f64 (+.f64 (+.f64 x (.f64 y z)) (.f64 t a)) (.f64 (.f64 a z) b))
303.0ms	(+.f64 (+.f64 x (.f64 y z)) (.f64 t a))
157.0ms	(.f64 (.f64 a z) b)
129.0ms	(+.f64 x (*.f64 y z))

Compiler

Compiled 1888 to 1736 computations (8.1% saved)

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5001	1837

prune185.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	147	2	149
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	148	3	151

Error

0.0b

Counts

151 → 3

Compiler

Compiled 2336 to 261 computations (88.8% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 t (*.f64 z b))
0.0b	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
2.5b	(.f64 a (+.f64 t (.f64 z b)))

rewrite28.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_17832` `add-log-exp_binary64_17849`
5×	`*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845` `add-exp-log_binary64_17848` `pow1_binary64_17871` `add-cbrt-cube_binary64_17846`
3×	`associate-r_binary64_17750` `flip-+_binary64_17784` `flip3-+_binary64_17813` `associate-l_binary64_17751`
2×	`sum-log_binary64_17901` `distribute-rgt-in_binary64_17760` `+-commutative_binary64_17740` `associate-*r/_binary64_17752` `distribute-lft-in_binary64_17759` `associate-+r+_binary64_17742`
1×	`cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `*-commutative_binary64_17741`

Counts

3 → 46

Calls

3 calls:

10.0ms	(.f64 a (+.f64 t (.f64 z b)))
7.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
5.0ms	(+.f64 t (*.f64 z b))

series865.0ms (5.6%)

Counts

3 → 69

Calls

3 calls:

478.0ms	(+.f64 (.f64 y z) (.f64 a (+.f64 t (*.f64 z b))))
256.0ms	(.f64 a (+.f64 t (.f64 z b)))
131.0ms	(+.f64 t (*.f64 z b))

Compiler

Compiled 1325 to 1240 computations (6.4% saved)

simplify109.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5110	1331

prune122.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Error

0.0b

Counts

118 → 3

Compiler

Compiled 1735 to 258 computations (85.1% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
0.5b	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
6.8b	(.f64 (.f64 a z) b)

rewrite79.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_17832`
22×	`cbrt-prod_binary64_17841`
16×	`pow1_binary64_17871` `cbrt-div_binary64_17842`
15×	`*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845`
11×	`add-exp-log_binary64_17848`
9×	`associate-r_binary64_17750` `add-cbrt-cube_binary64_17846`
8×	`flip-+_binary64_17784` `flip3-+_binary64_17813` `pow1/3_binary64_17892`
7×	`associate-l_binary64_17751`
6×	`swap-sqr_binary64_17777`
5×	`pow-prod-down_binary64_17881`
4×	`cbrt-unprod_binary64_17843` `unswap-sqr_binary64_17778` `prod-exp_binary64_17859` `add-log-exp_binary64_17849` `frac-times_binary64_17820`
2×	`-commutative_binary64_17741` `associate-l/_binary64_17753` `associate-*r/_binary64_17752` `pow-prod-up_binary64_17880` `pow-sqr_binary64_17783`
1×	`pow-plus_binary64_17873` `pow2_binary64_17891`

Counts

4 → 92

Calls

4 calls:

31.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
9.0ms	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
9.0ms	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
8.0ms	(.f64 (.f64 a z) b)

series3.8s (24.8%)

Counts

4 → 100

Calls

4 calls:

1.9s	(.f64 (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y)))) (cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (*.f64 z y)))))
859.0ms	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
846.0ms	(cbrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z y))))
163.0ms	(.f64 (.f64 a z) b)

Compiler

Compiled 12324 to 8200 computations (33.5% saved)

simplify146.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5663	6363

prune381.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	192	0	192
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	192	3	195

Error

0.0b

Counts

195 → 3

Compiler

Compiled 9280 to 1766 computations (81% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (*.f64 a b))))))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (.f64 a b)))))) (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (*.f64 a b)))))))
2.5b	(.f64 z (+.f64 y (.f64 a b)))
2.5b	(.f64 z (+.f64 y (.f64 a b)))

rewrite85.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_17832`
24×	`pow1_binary64_17871`
21×	`sqrt-prod_binary64_17826`
17×	`*-un-lft-identity_binary64_17810` `add-cube-cbrt_binary64_17845`
14×	`sqrt-div_binary64_17827`
12×	`associate-r_binary64_17750` `associate-l_binary64_17751`
10×	`add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
9×	`sqrt-pow1_binary64_17828` `flip-+_binary64_17784` `flip3-+_binary64_17813` `pow1/2_binary64_17890`
8×	`swap-sqr_binary64_17777`
6×	`unswap-sqr_binary64_17778` `associate-*r/_binary64_17752`
5×	`pow-prod-down_binary64_17881` `pow-prod-up_binary64_17880`
4×	`add-log-exp_binary64_17849` `frac-times_binary64_17820`
3×	`cbrt-unprod_binary64_17843` `prod-exp_binary64_17859` `*-commutative_binary64_17741` `pow-sqr_binary64_17783` `rem-sqrt-square_binary64_17823`
2×	`distribute-rgt-in_binary64_17760` `associate-*l/_binary64_17753` `distribute-lft-in_binary64_17759`
1×	`sqrt-unprod_binary64_17830` `rem-square-sqrt_binary64_17822` `pow-plus_binary64_17873` `pow2_binary64_17891` `sqr-abs_binary64_17825`

Counts

4 → 117

Calls

4 calls:

30.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (.f64 a b)))))) (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (*.f64 a b)))))))
10.0ms	(.f64 z (+.f64 y (.f64 a b)))
10.0ms	(.f64 z (+.f64 y (.f64 a b)))
9.0ms	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (*.f64 a b))))))

series1.6s (10.6%)

Counts

4 → 102

Calls

4 calls:

622.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (.f64 a b)))))) (sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (*.f64 a b)))))))
474.0ms	(sqrt.f64 (+.f64 (.f64 a t) (+.f64 x (.f64 z (+.f64 y (*.f64 a b))))))
271.0ms	(.f64 z (+.f64 y (.f64 a b)))
267.0ms	(.f64 z (+.f64 y (.f64 a b)))

Compiler

Compiled 4524 to 3212 computations (29% saved)

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4995	4092
1	4995	4092

prune272.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	217	2	219
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	217	5	222

Error

Counts

222 → 5

Compiler

Compiled 6115 to 506 computations (91.7% saved)

regimes797.0ms (5.2%)

Accuracy

Total 1.3b remaining (99.2%)

Threshold costs 0b (0%)

Compiler

Compiled 3528 to 2807 computations (20.4% saved)

bsearch47.0ms (0.3%)

Steps

Iters	Range		Point
9	5.488659762759446e-43	3.733154045277491e-38	6.732586324147676e-40

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	44
1	35	44

end0.0ms (0%)

sample2.5s (16.2%)

Algorithm

1×

intervals

Results

639.0ms	8000×	body	128	valid
306.0ms	3799×	body	128	invalid

Compiler

Compiled 591 to 452 computations (23.5% saved)

Details

analyze2.7s (17.5%)

sample57.0ms (0.4%)

simplify14.0ms (0.1%)

prune12.0ms (0.1%)

localize20.0ms (0.1%)

rewrite45.0ms (0.3%)

series1.2s (7.7%)

simplify108.0ms (0.7%)

prune185.0ms (1.2%)

localize18.0ms (0.1%)

rewrite28.0ms (0.2%)

series865.0ms (5.6%)

simplify109.0ms (0.7%)

prune122.0ms (0.8%)

localize28.0ms (0.2%)

rewrite79.0ms (0.5%)

series3.8s (24.8%)

simplify146.0ms (0.9%)

prune381.0ms (2.5%)

localize23.0ms (0.1%)

rewrite85.0ms (0.6%)

series1.6s (10.6%)

simplify113.0ms (0.7%)

prune272.0ms (1.8%)

regimes797.0ms (5.2%)

bsearch47.0ms (0.3%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.5s (16.2%)

Profiling