Details

analyze807.0ms (15.1%)

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
7.8%	92%	0.2%	8
7.8%	92%	0.2%	9
10.9%	88.9%	0.2%	10
34.7%	65.1%	0.2%	11
43.1%	56.7%	0.2%	12
44.2%	55.7%	0.2%	13
49.5%	50.3%	0.2%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	246×	body	128	valid
1.0ms	6×	body	1024	valid
1.0ms	15×	body	128	invalid
0.0ms	3×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify63.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

441×	`div-sub_binary64`
396×	`distribute-rgt-in_binary64`
366×	`distribute-lft-in_binary64`
260×	`associate-l_binary64`
256×	`associate-r_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	55	23
2	148	23
3	349	23
4	1247	23
5	4605	23
6	4879	23
7	5155	23

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

5.6b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	5.6b	(+.f64 x (.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

Compiler

Compiled 38 to 24 computations (36.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(tanh.f64 (/.f64 t y))
0.1b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.9b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite164.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

1.6b

Rules

18×	`frac-sub_binary64`
14×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64`
12×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
11×	`associate-*r/_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 84

Calls

4 calls:

17.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 t y))
2.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 2731 to 823 computations (69.9% saved)

series376.0ms (7%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

200.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
93.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
29.0ms	(tanh.f64 (/.f64 t y))
26.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 3825 to 2547 computations (33.4% saved)

simplify117.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

412×	`associate-*l/_binary64`
260×	`associate-/l*_binary64`
229×	`associate-l_binary64`
223×	`times-frac_binary64`
209×	`distribute-rgt-in_binary64`

Counts

123 → 89

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	242	5011
1	740	3427
2	2664	3275
3	5219	3275

prune68.0ms (1.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	85	4	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	4	90

Error

Counts

90 → 4

Alt Table

Status	Error	Program
	9.2b	(+.f64 x (.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))))
	27.7b	(+.f64 x (*.f64 z (-.f64 t x)))
▶	1.6b	(+.f64 x (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
	21.5b	(+.f64 x (-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x)))

Compiler

Compiled 2178 to 863 computations (60.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.0b	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
0.1b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.3b	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite155.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`associate-*r/_binary64`
27×	`frac-sub_binary64`
21×	`cancel-sign-sub-inv_binary64`
20×	`add-sqr-sqrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64`
19×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64`

Counts

4 → 119

Calls

4 calls:

12.0ms	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
11.0ms	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 3907 to 1203 computations (69.2% saved)

series476.0ms (8.9%)

Error

Counts

4 → 46

Calls

4 calls:

205.0ms	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
124.0ms	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
94.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
28.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 4567 to 3088 computations (32.4% saved)

simplify198.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

479×	`times-frac_binary64`
234×	`associate-l_binary64`
231×	`associate-r_binary64`
211×	`distribute-rgt-in_binary64`
209×	`distribute-lft-in_binary64`

Counts

165 → 111

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	295	6286
1	817	5520
2	2944	5496
3	4697	5496
4	4974	5496

prune75.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	111	4	115

Error

Counts

115 → 4

Alt Table

Status	Error	Program
▶	9.2b	(+.f64 x (.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))))
	27.7b	(+.f64 x (*.f64 z (-.f64 t x)))
✓	1.6b	(+.f64 x (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
	21.5b	(+.f64 x (-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x)))

Compiler

Compiled 2586 to 1178 computations (54.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.1b	(pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)
5.9b	(.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))
8.9b	(cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))

rewrite196.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`frac-sub_binary64`
33×	`cube-div_binary64`
32×	`cbrt-prod_binary64`
29×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
24×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64`

Counts

4 → 144

Calls

4 calls:

19.0ms	(.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))
8.0ms	(cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))
8.0ms	(pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)
7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))

Compiler

Compiled 5031 to 1902 computations (62.2% saved)

series640.0ms (12%)

Error

Counts

4 → 51

Calls

4 calls:

203.0ms	(.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)))
203.0ms	(pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3)
95.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
93.0ms	(cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))

Compiler

Compiled 7226 to 4975 computations (31.2% saved)

simplify230.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

303×	`associate-l_binary64` `associate-r_binary64`
301×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64`
151×	`times-frac_binary64`
131×	`associate-/r*_binary64`
127×	`associate-/l*_binary64`

Counts

195 → 153

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	417	9698
1	1299	9149
2	4929	9149
3	5034	9149

prune126.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	153	4	157

Error

Counts

157 → 4

Alt Table

Status	Error	Program
✓	9.2b	(+.f64 x (.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))))
	27.7b	(+.f64 x (*.f64 z (-.f64 t x)))
✓	1.6b	(+.f64 x (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
▶	21.5b	(+.f64 x (-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x)))

Compiler

Compiled 4826 to 2201 computations (54.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.4b	(-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x))
6.7b	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))

rewrite52.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `associate-r*_binary64`
2×	`tanh-def-c_binary64` `tanh-def-b_binary64` `tanh-def-a_binary64`

Counts

3 → 43

Calls

3 calls:

7.0ms	(-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x))
6.0ms	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))
2.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 982 to 242 computations (75.4% saved)

series213.0ms (4%)

Error

Counts

3 → 32

Calls

3 calls:

109.0ms	(-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x))
64.0ms	(.f64 (.f64 z y) (tanh.f64 (/.f64 t y)))
27.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 2109 to 1335 computations (36.7% saved)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

421×	`associate-*r/_binary64`
331×	`associate-*l/_binary64`
306×	`*-commutative_binary64`
210×	`times-frac_binary64`
203×	`distribute-rgt-in_binary64`

Counts

75 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1748
1	312	1659
2	1023	1039
3	3711	1039
4	4991	1039

prune25.0ms (0.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Error

Counts

59 → 4

Alt Table

Status	Error	Program
	9.2b	(+.f64 x (.f64 (.f64 y z) (cbrt.f64 (pow.f64 (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))) 3))))
	27.7b	(+.f64 x (*.f64 z (-.f64 t x)))
	1.6b	(+.f64 x (.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))))
	21.5b	(+.f64 x (-.f64 (.f64 (.f64 z y) (tanh.f64 (/.f64 t y))) (*.f64 z x)))

Compiler

Compiled 596 to 205 computations (65.6% saved)

regimes341.0ms (6.4%)

Accuracy

Total 1.5b remaining (97.6%)

Threshold costs 0b (0%)

Compiler

Compiled 6763 to 3651 computations (46% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64` `+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`neg-mul-1_binary64` `neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	18	23
2	23	23
3	25	23
4	26	23
5	26	23

end1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

sample867.0ms (16.2%)

Algorithm

1×

intervals

Results

388.0ms	7768×	body	128	valid
26.0ms	548×	body	128	invalid
20.0ms	105×	body	1024	valid
10.0ms	71×	body	512	valid
5.0ms	54×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 113 to 74 computations (34.5% saved)

Details

analyze807.0ms (15.1%)

sample26.0ms (0.5%)

simplify63.0ms (1.2%)

prune2.0ms (0%)

localize11.0ms (0.2%)

rewrite164.0ms (3.1%)

series376.0ms (7%)

simplify117.0ms (2.2%)

prune68.0ms (1.3%)

localize10.0ms (0.2%)

rewrite155.0ms (2.9%)

series476.0ms (8.9%)

simplify198.0ms (3.7%)

prune75.0ms (1.4%)

localize13.0ms (0.2%)

rewrite196.0ms (3.7%)

series640.0ms (12%)

simplify230.0ms (4.3%)

prune126.0ms (2.3%)

localize9.0ms (0.2%)

rewrite52.0ms (1%)

series213.0ms (4%)

simplify78.0ms (1.5%)

prune25.0ms (0.5%)

regimes341.0ms (6.4%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample867.0ms (16.2%)

Profiling