Details

analyze986.0ms (10.6%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample32.0ms (0.3%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify205.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5059	19

prune5.0ms (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

1.1b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize9.0ms (0.1%)

Local error

Found 6 expressions with local error:

4.2b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
3.4b	(/.f64 (.f64 y t) (.f64 2 z))
0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
0.0b	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
3.4b	(/.f64 (.f64 y t) (.f64 2 z))
4.2b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))

rewrite68.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_16809`
38×	`*-un-lft-identity_binary64_16787`
32×	`times-frac_binary64_16793`
22×	`add-cube-cbrt_binary64_16822`
21×	`cancel-sign-sub-inv_binary64_16753`
17×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
9×	`difference-of-squares_binary64_16756`
8×	`distribute-lft-out--_binary64_16739`
6×	`associate-/r*_binary64_16731`
5×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `div-exp_binary64_16838`
4×	`cbrt-unprod_binary64_16820` `associate-/l*_binary64_16732` `prod-exp_binary64_16836` `associate-/r/_binary64_16733`
3×	`pow1_binary64_16848` `flip3--_binary64_16791` `flip--_binary64_16762` `div-inv_binary64_16784`
2×	`clear-num_binary64_16786` `frac-2neg_binary64_16798`
1×	`diff-log_binary64_16879` `sub-neg_binary64_16780`

Counts

3 → 93

Calls

6 calls:

27.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
13.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
11.0ms	(/.f64 (.f64 y t) (.f64 2 z))
0.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
0.0ms	(/.f64 (.f64 y t) (.f64 2 z))

series649.0ms (7%)

Counts

3 → 47

Calls

3 calls:

333.0ms	(-.f64 x (/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))))
172.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
143.0ms	(/.f64 (.f64 y t) (.f64 2 z))

Compiler

Compiled 1022 to 939 computations (8.1% saved)

simplify92.0ms (1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5214	2664

prune226.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	137	5	142

Error

Counts

142 → 5

Compiler

Compiled 2447 to 1182 computations (51.7% saved)

localize19.0ms (0.2%)

Local error

Found 6 expressions with local error:

5.5b	(*.f64 (/.f64 y 2) (/.f64 t z))
4.2b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
0.0b	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
0.0b	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
4.2b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
5.5b	(*.f64 (/.f64 y 2) (/.f64 t z))

rewrite46.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64_16809`
41×	`times-frac_binary64_16793`
34×	`*-un-lft-identity_binary64_16787`
32×	`add-cube-cbrt_binary64_16822`
17×	`add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
15×	`cancel-sign-sub-inv_binary64_16753`
13×	`associate-r_binary64_16727` `associate-l_binary64_16728`
5×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `pow1_binary64_16848` `div-exp_binary64_16838`
4×	`cbrt-unprod_binary64_16820` `prod-exp_binary64_16836` `unswap-sqr_binary64_16755` `associate-/r/_binary64_16733` `div-inv_binary64_16784`
3×	`associate-/l_binary64_16732` `flip3--_binary64_16791` `associate-/r_binary64_16731` `flip--_binary64_16762`
2×	`difference-of-squares_binary64_16756`
1×	`diff-log_binary64_16879` `sub-neg_binary64_16780` `clear-num_binary64_16786` `-commutative_binary64_16718` `associate-r/_binary64_16729` `distribute-lft-out--_binary64_16739` `frac-times_binary64_16797` `frac-2neg_binary64_16798` `associate-*l/_binary64_16730` `pow-prod-down_binary64_16858`

Counts

3 → 108

Calls

6 calls:

12.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
10.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
7.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
0.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
0.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))

series695.0ms (7.5%)

Counts

3 → 47

Calls

3 calls:

363.0ms	(-.f64 x (/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))))
189.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
143.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))

Compiler

Compiled 1022 to 939 computations (8.1% saved)

simplify138.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4999	2785
1	4999	2785

prune244.0ms (2.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	156	4	160

Error

Counts

160 → 4

Compiler

Compiled 2772 to 1361 computations (50.9% saved)

localize27.0ms (0.3%)

Local error

Found 8 expressions with local error:

1.0b	(/.f64 1 (sqrt.f64 2))
0.4b	(/.f64 y (sqrt.f64 2))
0.3b	(.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2))))
0.0b	(-.f64 x (/.f64 y (-.f64 z (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2)))))))
0.4b	(/.f64 y (sqrt.f64 2))
1.0b	(/.f64 1 (sqrt.f64 2))
4.2b	(/.f64 y (-.f64 z (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2))))))
5.6b	(*.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2)))

rewrite68.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`add-sqr-sqrt_binary64_16809`
79×	`times-frac_binary64_16793`
62×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
35×	`sqrt-prod_binary64_16803`
24×	`add-exp-log_binary64_16825`
22×	`associate-r_binary64_16727` `add-cbrt-cube_binary64_16823`
15×	`associate-/r*_binary64_16731`
13×	`associate-l_binary64_16728`
9×	`associate-/l*_binary64_16732`
8×	`pow1_binary64_16848` `div-exp_binary64_16838`
7×	`cbrt-undiv_binary64_16821`
6×	`unswap-sqr_binary64_16755`
5×	`div-inv_binary64_16784`
4×	`add-log-exp_binary64_16826` `cbrt-unprod_binary64_16820` `prod-exp_binary64_16836`
3×	`clear-num_binary64_16786` `pow-flip_binary64_16861` `frac-2neg_binary64_16798`
2×	`associate-/r/_binary64_16733`
1×	`pow1/2_binary64_16867` `sqrt-pow1_binary64_16805` `rec-exp_binary64_16837` `1-exp_binary64_16831` `-commutative_binary64_16718` `associate-r/_binary64_16729` `flip3--_binary64_16791` `frac-times_binary64_16797` `inv-pow_binary64_16872` `flip--_binary64_16762` `associate-*l/_binary64_16730` `pow-prod-down_binary64_16858`

Counts

4 → 174

Calls

8 calls:

29.0ms	(*.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2)))
9.0ms	(/.f64 y (-.f64 z (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2))))))
8.0ms	(/.f64 1 (sqrt.f64 2))
4.0ms	(/.f64 y (sqrt.f64 2))
0.0ms	(-.f64 x (/.f64 y (-.f64 z (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2)))))))

series595.0ms (6.4%)

Counts

4 → 25

Calls

4 calls:

322.0ms	(*.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2)))
228.0ms	(/.f64 y (-.f64 z (.f64 (/.f64 1 (sqrt.f64 2)) (.f64 (/.f64 t z) (/.f64 y (sqrt.f64 2))))))
45.0ms	(/.f64 y (sqrt.f64 2))
0.0ms	(/.f64 1 (sqrt.f64 2))

Compiler

Compiled 894 to 817 computations (8.6% saved)

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5042	2973

prune357.0ms (3.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	199	4	203

Error

Counts

203 → 4

Compiler

Compiled 4743 to 2945 computations (37.9% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

3.8b	(.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2)))))
3.4b	(/.f64 (.f64 y t) (.f64 z 2))
0.5b	(/.f64 1 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))))
0.0b	(-.f64 x (.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2))))))
0.0b	(-.f64 x (.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2))))))
0.5b	(/.f64 1 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))))
3.4b	(/.f64 (.f64 y t) (.f64 z 2))
3.8b	(.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2)))))

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`add-sqr-sqrt_binary64_16809`
39×	`*-un-lft-identity_binary64_16787`
33×	`times-frac_binary64_16793`
29×	`add-exp-log_binary64_16825`
24×	`add-cube-cbrt_binary64_16822`
23×	`add-cbrt-cube_binary64_16823`
21×	`associate-r_binary64_16727`
8×	`prod-exp_binary64_16836` `div-exp_binary64_16838`
7×	`pow1_binary64_16848` `difference-of-squares_binary64_16756` `distribute-lft-out--_binary64_16739`
6×	`cbrt-undiv_binary64_16821` `add-log-exp_binary64_16826` `cbrt-unprod_binary64_16820` `associate-/r*_binary64_16731`
4×	`associate-/l*_binary64_16732` `associate-/r/_binary64_16733`
3×	`flip3--_binary64_16791` `associate-l_binary64_16728` `unswap-sqr_binary64_16755` `flip--_binary64_16762` `div-inv_binary64_16784`
2×	`rec-exp_binary64_16837` `1-exp_binary64_16831` `clear-num_binary64_16786` `frac-2neg_binary64_16798`
1×	`un-div-inv_binary64_16785` `diff-log_binary64_16879` `cancel-sign-sub-inv_binary64_16753` `sub-neg_binary64_16780` `-commutative_binary64_16718` `associate-r/_binary64_16729` `pow-flip_binary64_16861` `inv-pow_binary64_16872` `pow-prod-down_binary64_16858`

Counts

4 → 118

Calls

8 calls:

14.0ms	(.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2)))))
13.0ms	(/.f64 1 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))))
10.0ms	(/.f64 (.f64 y t) (.f64 z 2))
6.0ms	(-.f64 x (.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2))))))
0.0ms	(-.f64 x (.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2))))))

series814.0ms (8.7%)

Counts

4 → 60

Calls

4 calls:

362.0ms	(-.f64 x (.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2))))))
167.0ms	(.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 z 2)))))
154.0ms	(/.f64 (.f64 y t) (.f64 z 2))
131.0ms	(/.f64 1 (-.f64 z (/.f64 (.f64 y t) (.f64 z 2))))

Compiler

Compiled 1463 to 1331 computations (9% saved)

simplify98.0ms (1%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4980	3037
1	4980	3037

prune168.0ms (1.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	178	4	182

Error

Counts

182 → 4

Compiler

Compiled 3267 to 1777 computations (45.6% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	657	686
1	657	686

regimes245.0ms (2.6%)

Accuracy

Total 1.1b remaining (99.7%)

Threshold costs 0b (0%)

Compiler

Compiled 1840 to 1500 computations (18.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	19
1	38	19

end0.0ms (0%)

sample3.3s (35.9%)

Algorithm

1×

intervals

Results

594.0ms

8000×

body

128

valid

Compiler

Compiled 1405 to 1132 computations (19.4% saved)

Pareto

0.3221100560150293

Details

analyze986.0ms (10.6%)

sample32.0ms (0.3%)

simplify205.0ms (2.2%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite68.0ms (0.7%)

series649.0ms (7%)

simplify92.0ms (1%)

prune226.0ms (2.4%)

localize19.0ms (0.2%)

rewrite46.0ms (0.5%)

series695.0ms (7.5%)

simplify138.0ms (1.5%)

prune244.0ms (2.6%)

localize27.0ms (0.3%)

rewrite68.0ms (0.7%)

series595.0ms (6.4%)

simplify99.0ms (1.1%)

prune357.0ms (3.8%)

localize11.0ms (0.1%)

rewrite67.0ms (0.7%)

series814.0ms (8.7%)

simplify98.0ms (1%)

prune168.0ms (1.8%)

simplify16.0ms (0.2%)

regimes245.0ms (2.6%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (35.9%)

Profiling