Details

analyze2.4s (17%)

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)

sample89.0ms (0.6%)

Algorithm

1×

intervals

Results

21.0ms	255×	body	128	invalid
14.0ms	256×	body	128	valid

Compiler

Compiled 39 to 45 computations (-15.4% saved)

simplify468.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (462.0ms)

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

6.6b

Counts

2 → 1

Compiler

Compiled 38 to 36 computations (5.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 a (*.f64 b c))
0.1b	(.f64 (+.f64 a (.f64 b c)) c)
8.0b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite92.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

11×	`pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
9×	`add-sqr-sqrt_binary64_17832`
8×	`add-log-exp_binary64_17849`
7×	`add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810`
6×	`associate-l/_binary64_17753` `associate-r*_binary64_17750`
4×	`pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `flip3-+_binary64_17813` `flip-+_binary64_17784` `associate-l_binary64_17751`
2×	`*-commutative_binary64_17741` `sum-log_binary64_17901` `+-commutative_binary64_17740`
1×	`unswap-sqr_binary64_17778`

Counts

4 → 62

Calls

4 calls:

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))
3.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 1684 to 420 computations (75.1% saved)

series643.0ms (4.5%)

Error

1.0b

Counts

4 → 81

Calls

4 calls:

230.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)
150.0ms	(+.f64 (.f64 x y) (.f64 z t))
119.0ms	(.f64 (+.f64 a (.f64 b c)) c)
78.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 3792 to 2613 computations (31.1% saved)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4977	1524
1	4977	1524

prune130.0ms (0.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	135	8	143
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	9	144

Error

1.0b

Counts

144 → 9

Compiler

Compiled 3149 to 737 computations (76.6% saved)

localize14.0ms (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 a (.f64 b c)) (*.f64 i c)))
0.0b	(+.f64 a (*.f64 b c))
5.3b	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))

rewrite85.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

13×	`add-log-exp_binary64_17849`
9×	`pow1_binary64_17871` `add-exp-log_binary64_17848` `add-cbrt-cube_binary64_17846`
7×	`flip3-+_binary64_17813` `flip-+_binary64_17784`
6×	`associate-*l/_binary64_17753`
5×	`add-cube-cbrt_binary64_17845` `add-sqr-sqrt_binary64_17832` `*-un-lft-identity_binary64_17810`
4×	`frac-sub_binary64_17819`
3×	`pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `associate-l_binary64_17751` `sum-log_binary64_17901`
2×	`+-commutative_binary64_17740` `diff-log_binary64_17902`
1×	`associate-r_binary64_17750` `*-commutative_binary64_17741` `flip3--_binary64_17814` `sub-neg_binary64_17803` `flip--_binary64_17785` `cancel-sign-sub-inv_binary64_17776` `associate--l+_binary64_17747`

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 (9.4%)

Error

1.0b

Counts

4 → 114

Calls

4 calls:

824.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 i c)))
222.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 i c))
140.0ms	(+.f64 (.f64 x y) (.f64 z t))
85.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 5201 to 3720 computations (28.5% saved)

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5884	2950

prune139.0ms (1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	171	3	174
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	172	11	183

Error

1.0b

Counts

183 → 11

Compiler

Compiled 3818 to 800 computations (79% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 i)
1.2b	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
2.0b	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
2.9b	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))

rewrite133.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

32×	`pow1_binary64_17871` `add-exp-log_binary64_17848`
22×	`add-cbrt-cube_binary64_17846`
19×	`pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843`
10×	`add-sqr-sqrt_binary64_17832`
9×	`add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810`
8×	`associate-l/_binary64_17753` `associate-r*_binary64_17750`
7×	`associate-l_binary64_17751`
6×	`cbrt-prod_binary64_17841`
4×	`add-log-exp_binary64_17849` `associate-*r/_binary64_17752`
3×	`flip3-+_binary64_17813` `flip-+_binary64_17784` `*-commutative_binary64_17741`
1×	`unswap-sqr_binary64_17778` `pow1/3_binary64_17892`

Counts

4 → 84

Calls

4 calls:

16.0ms	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))
12.0ms	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
9.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
1.0ms	(cbrt.f64 i)

Compiler

Compiled 2929 to 565 computations (80.7% saved)

series1.6s (10.9%)

Error

1.0b

Counts

4 → 66

Calls

4 calls:

632.0ms	(.f64 c (.f64 (+.f64 a (.f64 b c)) (.f64 (cbrt.f64 i) (cbrt.f64 i))))
539.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))
255.0ms	(.f64 (.f64 c (.f64 (+.f64 a (.f64 b c)) (*.f64 (cbrt.f64 i) (cbrt.f64 i)))) (cbrt.f64 i))
76.0ms	(cbrt.f64 i)

Compiler

Compiled 4479 to 3349 computations (25.2% saved)

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5007	2099

prune141.0ms (1%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	150	11	161

Error

1.0b

Counts

161 → 11

Compiler

Compiled 3986 to 1237 computations (69% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
0.0b	(+.f64 a (*.f64 b c))
1.0b	(.f64 i (+.f64 a (.f64 b c)))
5.2b	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))

rewrite115.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

14×	`associate-*r/_binary64_17752`
11×	`pow1_binary64_17871` `add-exp-log_binary64_17848` `add-log-exp_binary64_17849` `add-cbrt-cube_binary64_17846`
9×	`add-sqr-sqrt_binary64_17832` `distribute-rgt-in_binary64_17760` `distribute-lft-in_binary64_17759`
7×	`add-cube-cbrt_binary64_17845` `*-un-lft-identity_binary64_17810` `flip3-+_binary64_17813` `flip-+_binary64_17784`
6×	`associate-l_binary64_17751`
4×	`pow-prod-down_binary64_17881` `prod-exp_binary64_17859` `cbrt-unprod_binary64_17843` `associate-r_binary64_17750` `frac-sub_binary64_17819` `associate--r+_binary64_17746`
2×	`*-commutative_binary64_17741` `sum-log_binary64_17901` `diff-log_binary64_17902`
1×	`unswap-sqr_binary64_17778` `+-commutative_binary64_17740` `flip3--_binary64_17814` `sub-neg_binary64_17803` `flip--_binary64_17785` `cancel-sign-sub-inv_binary64_17776` `associate--l+_binary64_17747`

Counts

4 → 79

Calls

4 calls:

8.0ms	(-.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)))
5.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 2417 to 537 computations (77.8% saved)

series1.4s (9.6%)

Error

1.0b

Counts

4 → 111

Calls

4 calls:

810.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 c (.f64 i (+.f64 a (*.f64 b c)))))
243.0ms	(.f64 c (.f64 i (+.f64 a (*.f64 b c))))
167.0ms	(.f64 i (+.f64 a (.f64 b c)))
85.0ms	(+.f64 a (*.f64 b c))

Compiler

Compiled 5185 to 3705 computations (28.5% saved)

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5137	3193

prune146.0ms (1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	188	2	190
Fresh	3	4	7
Picked	0	1	1
Done	1	2	3
Total	192	9	201

Error

1.0b

Counts

201 → 9

Compiler

Compiled 4006 to 747 computations (81.4% saved)

regimes2.0s (13.6%)

Accuracy

Total 1.0b remaining (56.7%)

Threshold costs 1.0b (56.7%)

Compiler

Compiled 27002 to 22053 computations (18.3% saved)

bsearch0.0ms (0%)

simplify25.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

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%)

sample3.1s (21.6%)

Algorithm

1×

intervals

Results

492.0ms	8000×	body	128	valid
420.0ms	7104×	body	128	invalid

Compiler

Compiled 1811 to 1482 computations (18.2% saved)

Details

analyze2.4s (17%)

sample89.0ms (0.6%)

simplify468.0ms (3.2%)

prune3.0ms (0%)

localize14.0ms (0.1%)

rewrite92.0ms (0.6%)

series643.0ms (4.5%)

simplify81.0ms (0.6%)

prune130.0ms (0.9%)

localize14.0ms (0.1%)

rewrite85.0ms (0.6%)

series1.4s (9.4%)

simplify54.0ms (0.4%)

prune139.0ms (1%)

localize21.0ms (0.1%)

rewrite133.0ms (0.9%)

series1.6s (10.9%)

simplify90.0ms (0.6%)

prune141.0ms (1%)

localize14.0ms (0.1%)

rewrite115.0ms (0.8%)

series1.4s (9.6%)

simplify80.0ms (0.6%)

prune146.0ms (1%)

regimes2.0s (13.6%)

bsearch0.0ms (0%)

simplify25.0ms (0.2%)

end0.0ms (0%)

sample3.1s (21.6%)

Profiling