Details

analyze2.7s (17.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4800	143
1	4800	143
0	5	5
1	5	5

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 10 to 10 computations (0% saved)

sample76.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
5.0ms	86×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify74.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	551	13
1	551	13

prune4.0ms (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

Error

9.1b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 z t))
8.7b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite112.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

8.9b

Rules

10×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
9×	`times-frac_binary64_21226`
4×	`add-exp-log_binary64_21258` `add-log-exp_binary64_21259` `add-cbrt-cube_binary64_21256`
3×	`associate-/l_binary64_21165` `associate-/r_binary64_21164`
2×	`pow1_binary64_21281` `flip3--_binary64_21224` `associate-/l/_binary64_21167` `flip--_binary64_21195`
1×	`div-exp_binary64_21271` `cbrt-undiv_binary64_21254` `frac-2neg_binary64_21231` `div-sub_binary64_21225` `clear-num_binary64_21219` `div-inv_binary64_21217` `diff-log_binary64_21312` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186`

Counts

2 → 42

Calls

2 calls:

11.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
7.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 797 to 150 computations (81.2% saved)

series842.0ms (5.4%)

Error

9.0b

Counts

2 → 51

Calls

2 calls:

533.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
263.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1095 to 752 computations (31.3% saved)

simplify120.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4946	1303
1	4946	1303

prune134.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	82	11	93
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	11	94

Error

8.8b

Counts

94 → 11

Compiler

Compiled 1269 to 262 computations (79.4% saved)

localize18.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 z t))
8.7b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite121.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

17×	`add-sqr-sqrt_binary64_21242`
13×	`associate-r_binary64_21160`
11×	`add-exp-log_binary64_21258` `*-un-lft-identity_binary64_21220` `times-frac_binary64_21226`
10×	`add-cube-cbrt_binary64_21255`
7×	`add-cbrt-cube_binary64_21256`
4×	`pow1_binary64_21281` `prod-exp_binary64_21269` `add-log-exp_binary64_21259`
3×	`flip3--_binary64_21224` `flip--_binary64_21195` `unswap-sqr_binary64_21188` `associate-l_binary64_21161`
2×	`div-exp_binary64_21271` `cbrt-unprod_binary64_21253` `frac-times_binary64_21230` `associate-*l/_binary64_21163`
1×	`pow-prod-down_binary64_21291` `1-exp_binary64_21264` `rec-exp_binary64_21270` `cbrt-undiv_binary64_21254` `un-div-inv_binary64_21218` `associate-r/_binary64_21162` `div-inv_binary64_21217` `-commutative_binary64_21151` `diff-log_binary64_21312` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186`

Counts

2 → 52

Calls

2 calls:

20.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
7.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1079 to 363 computations (66.4% saved)

series867.0ms (5.6%)

Error

8.8b

Counts

2 → 51

Calls

2 calls:

552.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
263.0ms	(-.f64 (.f64 x y) (.f64 z t))

Compiler

Compiled 1215 to 890 computations (26.7% saved)

simplify124.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	5304	1414

prune146.0ms (0.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	99	15	114

Error

8.8b

Counts

114 → 15

Compiler

Compiled 1567 to 485 computations (69% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 t z))
0.6b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
8.5b	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))

rewrite260.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

90×	`times-frac_binary64_21226`
55×	`add-cube-cbrt_binary64_21255` `add-sqr-sqrt_binary64_21242` `*-un-lft-identity_binary64_21220`
18×	`associate-/r*_binary64_21164`
16×	`add-exp-log_binary64_21258`
11×	`associate-/r/_binary64_21166`
10×	`add-cbrt-cube_binary64_21256`
8×	`div-exp_binary64_21271`
6×	`div-inv_binary64_21217` `flip3--_binary64_21224` `flip--_binary64_21195` `associate-/l*_binary64_21165`
5×	`add-log-exp_binary64_21259`
4×	`pow1_binary64_21281` `cbrt-undiv_binary64_21254`
2×	`frac-2neg_binary64_21231` `clear-num_binary64_21219` `1-exp_binary64_21264` `rec-exp_binary64_21270`
1×	`inv-pow_binary64_21305` `pow-flip_binary64_21294` `diff-log_binary64_21312` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186`

Counts

3 → 125

Calls

3 calls:

17.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
11.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
7.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 3006 to 798 computations (73.5% saved)

series1.4s (9.3%)

Error

8.8b

Counts

3 → 84

Calls

3 calls:

561.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 t z)))
514.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 t z))))
272.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 3072 to 2216 computations (27.9% saved)

simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5010	4289

prune285.0ms (1.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	206	3	209
Fresh	4	9	13
Picked	1	0	1
Done	0	1	1
Total	211	13	224

Error

8.8b

Counts

224 → 13

Compiler

Compiled 3779 to 897 computations (76.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 t z))
0.6b	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))
0.6b	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z)))))
8.1b	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z))))

rewrite276.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

52×	`add-exp-log_binary64_21258`
29×	`add-sqr-sqrt_binary64_21242`
23×	`*-un-lft-identity_binary64_21220` `times-frac_binary64_21226`
22×	`add-cube-cbrt_binary64_21255`
20×	`div-exp_binary64_21271` `add-cbrt-cube_binary64_21256`
16×	`prod-exp_binary64_21269`
15×	`associate-r_binary64_21160`
10×	`pow1_binary64_21281` `1-exp_binary64_21264` `rec-exp_binary64_21270`
6×	`add-log-exp_binary64_21259` `cbrt-undiv_binary64_21254` `associate-/r/_binary64_21166` `associate-/l*_binary64_21165`
4×	`cbrt-unprod_binary64_21253` `associate-/r*_binary64_21164`
3×	`unswap-sqr_binary64_21188` `associate-l_binary64_21161` `div-inv_binary64_21217` `flip3--_binary64_21224` `flip--_binary64_21195` `pow-flip_binary64_21294`
2×	`pow-prod-down_binary64_21291` `un-div-inv_binary64_21218` `associate-*r/_binary64_21162` `inv-pow_binary64_21305` `frac-2neg_binary64_21231` `clear-num_binary64_21219`
1×	`*-commutative_binary64_21151` `diff-log_binary64_21312` `sub-neg_binary64_21213` `cancel-sign-sub-inv_binary64_21186`

Counts

4 → 123

Calls

4 calls:

25.0ms	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z)))))
21.0ms	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z))))
11.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))
7.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 2679 to 1057 computations (60.5% saved)

series1.8s (11.6%)

Error

8.8b

Counts

4 → 114

Calls

4 calls:

553.0ms	(.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z))))
494.0ms	(/.f64 1 (.f64 a (/.f64 1 (-.f64 (.f64 x y) (*.f64 t z)))))
369.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 t z)))
252.0ms	(-.f64 (.f64 x y) (.f64 t z))

Compiler

Compiled 4914 to 3710 computations (24.5% saved)

simplify152.0ms (1%)

Algorithm

1×	egg-herbie

Counts

237 → 237

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4970	3793
1	4970	3793

prune262.0ms (1.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	237	0	237
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	237	13	250

Error

8.8b

Counts

250 → 13

Compiler

Compiled 3733 to 1111 computations (70.2% saved)

regimes1.9s (12.1%)

Accuracy

Total 0.4b remaining (4.9%)

Threshold costs 0.4b (4.9%)

Compiler

Compiled 12366 to 8127 computations (34.3% saved)

bsearch0.0ms (0%)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	13
1	38	13

Remove

(sort z t)

(sort x y)

Compiler

Compiled 36 to 36 computations (0% saved)

end0.0ms (0%)

sample3.6s (23.2%)

Algorithm

1×

intervals

Results

517.0ms	8000×	body	128	valid
197.0ms	3082×	body	128	invalid

Compiler

Compiled 1426 to 935 computations (34.4% saved)

Details

analyze2.7s (17.4%)

sample76.0ms (0.5%)

simplify74.0ms (0.5%)

prune4.0ms (0%)

localize14.0ms (0.1%)

rewrite112.0ms (0.7%)

series842.0ms (5.4%)

simplify120.0ms (0.8%)

prune134.0ms (0.9%)

localize18.0ms (0.1%)

rewrite121.0ms (0.8%)

series867.0ms (5.6%)

simplify124.0ms (0.8%)

prune146.0ms (0.9%)

localize18.0ms (0.1%)

rewrite260.0ms (1.7%)

series1.4s (9.3%)

simplify150.0ms (1%)

prune285.0ms (1.8%)

localize20.0ms (0.1%)

rewrite276.0ms (1.8%)

series1.8s (11.6%)

simplify152.0ms (1%)

prune262.0ms (1.7%)

regimes1.9s (12.1%)

bsearch0.0ms (0%)

simplify47.0ms (0.3%)

end0.0ms (0%)

sample3.6s (23.2%)

Profiling