Details

analyze2.3s (15.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5144	812
0	8	8
1	8	8

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 20 to 19 computations (5% saved)

sample86.0ms (0.6%)

Algorithm

1×

intervals

Results

21.0ms	228×	body	128	invalid
14.0ms	256×	body	128	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify486.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (480.0ms)

Iter	Nodes	Cost
0	3126	28
1	3126	28

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

7.4b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
9.1b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite114.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.8b

Rules

14×	`associate-*l/_binary64_16730`
11×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823`
9×	`add-sqr-sqrt_binary64_16809`
7×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787` `flip3-+_binary64_16790` `flip-+_binary64_16761`
6×	`associate-r_binary64_16727`
4×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `associate-l_binary64_16728` `frac-sub_binary64_16796`
2×	`*-commutative_binary64_16718` `sum-log_binary64_16878` `diff-log_binary64_16879`
1×	`unswap-sqr_binary64_16755` `flip3--_binary64_16791` `sub-neg_binary64_16780` `flip--_binary64_16762` `cancel-sign-sub-inv_binary64_16753` `associate--l+_binary64_16724` `+-commutative_binary64_16717`

Counts

4 → 69

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
7.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2211 to 463 computations (79.1% saved)

series1.4s (9.6%)

Error

0.6b

Counts

4 → 114

Calls

4 calls:

818.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (.f64 (+.f64 a (*.f64 b c)) c) i))
235.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
144.0ms	(+.f64 (.f64 x y) (.f64 z t))
128.0ms	(.f64 (+.f64 a (.f64 b c)) c)

Compiler

Compiled 5255 to 3842 computations (26.9% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

183 → 183

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5008	3128

prune162.0ms (1.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	173	10	183
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	173	11	184

Error

0.5b

Counts

184 → 11

Compiler

Compiled 4103 to 888 computations (78.4% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 a (*.f64 b c))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
6.4b	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

rewrite92.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

13×	`add-log-exp_binary64_16826`
9×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
7×	`flip3-+_binary64_16790` `flip-+_binary64_16761`
6×	`associate-*l/_binary64_16730`
5×	`add-cube-cbrt_binary64_16822` `add-sqr-sqrt_binary64_16809` `*-un-lft-identity_binary64_16787`
4×	`frac-sub_binary64_16796`
3×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `associate-l_binary64_16728` `sum-log_binary64_16878`
2×	`diff-log_binary64_16879` `+-commutative_binary64_16717`
1×	`associate-r_binary64_16727` `*-commutative_binary64_16718` `flip3--_binary64_16791` `sub-neg_binary64_16780` `flip--_binary64_16762` `cancel-sign-sub-inv_binary64_16753` `associate--l+_binary64_16724`

Counts

4 → 60

Calls

4 calls:

8.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
7.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 1973 to 397 computations (79.9% saved)

series1.4s (9.5%)

Error

0.5b

Counts

4 → 114

Calls

4 calls:

861.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
235.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
155.0ms	(+.f64 (.f64 x y) (.f64 z t))
86.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 5201 to 3720 computations (28.5% saved)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5884	2950

prune140.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	173	12	185

Error

0.5b

Counts

185 → 12

Compiler

Compiled 3922 to 823 computations (79% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
0.8b	(.f64 i (+.f64 a (.f64 b c)))
3.8b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))

rewrite112.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

14×	`associate-*r/_binary64_16729`
11×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-log-exp_binary64_16826` `add-cbrt-cube_binary64_16823`
9×	`add-sqr-sqrt_binary64_16809` `distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
7×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787` `flip3-+_binary64_16790` `flip-+_binary64_16761`
6×	`associate-l_binary64_16728`
4×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820` `associate-r_binary64_16727` `frac-sub_binary64_16796` `associate--r+_binary64_16723`
2×	`*-commutative_binary64_16718` `sum-log_binary64_16878` `diff-log_binary64_16879`
1×	`unswap-sqr_binary64_16755` `flip3--_binary64_16791` `sub-neg_binary64_16780` `flip--_binary64_16762` `cancel-sign-sub-inv_binary64_16753` `associate--l+_binary64_16724` `+-commutative_binary64_16717`

Counts

4 → 79

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
7.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
6.0ms	(.f64 i (+.f64 a (.f64 b c)))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 2437 to 516 computations (78.8% saved)

series1.4s (9.7%)

Error

0.5b

Counts

4 → 117

Calls

4 calls:

823.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
226.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
161.0ms	(+.f64 (.f64 x y) (.f64 z t))
154.0ms	(.f64 i (+.f64 a (.f64 b c)))

Compiler

Compiled 5426 to 3867 computations (28.7% saved)

simplify80.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5172	3322

prune155.0ms (1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	196	12	208

Error

0.5b

Counts

208 → 12

Compiler

Compiled 4408 to 922 computations (79.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(.f64 i (+.f64 a (.f64 b c)))
3.8b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
3.8b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
3.8b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))

rewrite171.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

21×	`pow1_binary64_16848` `add-exp-log_binary64_16825` `add-cbrt-cube_binary64_16823`
14×	`associate-*r/_binary64_16729`
13×	`distribute-rgt-in_binary64_16737` `distribute-lft-in_binary64_16736`
12×	`associate-l_binary64_16728`
11×	`add-sqr-sqrt_binary64_16809`
10×	`pow-prod-down_binary64_16858` `prod-exp_binary64_16836` `cbrt-unprod_binary64_16820`
9×	`add-cube-cbrt_binary64_16822` `*-un-lft-identity_binary64_16787`
6×	`associate-r_binary64_16727`
4×	`add-log-exp_binary64_16826` `flip3-+_binary64_16790` `flip-+_binary64_16761` `*-commutative_binary64_16718`
1×	`unswap-sqr_binary64_16755`

Counts

4 → 94

Calls

4 calls:

8.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
7.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
7.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
6.0ms	(.f64 i (+.f64 a (.f64 b c)))

Compiler

Compiled 6156 to 717 computations (88.4% saved)

series1.0s (6.8%)

Error

0.5b

Counts

4 → 84

Calls

4 calls:

247.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
243.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
238.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
181.0ms	(.f64 i (+.f64 a (.f64 b c)))

Compiler

Compiled 12716 to 4448 computations (65% saved)

simplify82.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

178 → 178

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5028	2263

prune212.0ms (1.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	178	0	178
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	178	12	190

Error

0.5b

Counts

190 → 12

Compiler

Compiled 10722 to 883 computations (91.8% saved)

regimes2.1s (14.3%)

Accuracy

Total 1.0b remaining (52%)

Threshold costs 1.0b (52%)

Compiler

Compiled 26320 to 19040 computations (27.7% saved)

bsearch0.0ms (0%)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	95	28
1	95	28

Remove

(sort z t)

(sort x y)

Compiler

Compiled 76 to 72 computations (5.3% saved)

end0.0ms (0%)

sample3.0s (20.4%)

Algorithm

1×

intervals

Results

478.0ms	8000×	body	128	valid
437.0ms	7411×	body	128	invalid

Compiler

Compiled 1731 to 1266 computations (26.9% saved)

Details

analyze2.3s (15.3%)

sample86.0ms (0.6%)

simplify486.0ms (3.3%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite114.0ms (0.8%)

series1.4s (9.6%)

simplify80.0ms (0.5%)

prune162.0ms (1.1%)

localize18.0ms (0.1%)

rewrite92.0ms (0.6%)

series1.4s (9.5%)

simplify59.0ms (0.4%)

prune140.0ms (0.9%)

localize17.0ms (0.1%)

rewrite112.0ms (0.8%)

series1.4s (9.7%)

simplify80.0ms (0.5%)

prune155.0ms (1%)

localize22.0ms (0.1%)

rewrite171.0ms (1.1%)

series1.0s (6.8%)

simplify82.0ms (0.5%)

prune212.0ms (1.4%)

regimes2.1s (14.3%)

bsearch0.0ms (0%)

simplify26.0ms (0.2%)

end0.0ms (0%)

sample3.0s (20.4%)

Profiling