Details

analyze1.7s (12.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5154	161
0	4	4
1	4	4

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 16 to 13 computations (18.8% saved)

sample45.0ms (0.3%)

Algorithm

1×

intervals

Results

23.0ms	247×	body	128	valid
2.0ms	17×	body	128	invalid
1.0ms	4×	body	512	valid
1.0ms	2×	body	1024	valid
1.0ms	3×	body	256	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5155	23

prune5.0ms (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

5.1b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.0b	(tanh.f64 (/.f64 x y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
5.8b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite61.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`frac-sub_binary64_9635`
14×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
12×	`add-sqr-sqrt_binary64_9648` `*-un-lft-identity_binary64_9626`
11×	`associate-*r/_binary64_9568`
9×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `cancel-sign-sub-inv_binary64_9592` `add-cbrt-cube_binary64_9662`
8×	`add-cube-cbrt_binary64_9661`
6×	`add-log-exp_binary64_9665`
5×	`associate-r_binary64_9566`
4×	`distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
3×	`sub-neg_binary64_9619` `prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
2×	`flip3--_binary64_9630` `distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `flip--_binary64_9601`
1×	`associate-l_binary64_9567` `diff-log_binary64_9718` `*-commutative_binary64_9557`

Counts

4 → 84

Calls

4 calls:

25.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
13.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
3.0ms	(tanh.f64 (/.f64 t y))
3.0ms	(tanh.f64 (/.f64 x y))

series3.1s (23.4%)

Counts

4 → 42

Calls

4 calls:

1.9s	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
795.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
266.0ms	(tanh.f64 (/.f64 x y))
192.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 2966 to 2240 computations (24.5% saved)

simplify116.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5332	3315

prune222.0ms (1.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Error

Counts

127 → 3

Compiler

Compiled 3303 to 913 computations (72.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.5b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
4.3b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite90.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-*r/_binary64_9568`
27×	`frac-sub_binary64_9635`
21×	`cancel-sign-sub-inv_binary64_9592`
20×	`add-sqr-sqrt_binary64_9648` `distribute-rgt-in_binary64_9576` `distribute-lft-in_binary64_9575`
19×	`tanh-def-a_binary64_9813` `tanh-def-c_binary64_9815` `tanh-def-b_binary64_9814`
18×	`*-un-lft-identity_binary64_9626`
14×	`add-cube-cbrt_binary64_9661`
11×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
7×	`sub-neg_binary64_9619`
6×	`associate-l_binary64_9567` `add-log-exp_binary64_9665` `associate-r_binary64_9566`
4×	`prod-exp_binary64_9675` `pow-prod-down_binary64_9697` `cbrt-unprod_binary64_9659`
3×	`flip3--_binary64_9630` `flip--_binary64_9601`
2×	`distribute-lft-out--_binary64_9578` `difference-of-squares_binary64_9595` `*-commutative_binary64_9557`
1×	`diff-log_binary64_9718` `unswap-sqr_binary64_9594`

Counts

4 → 119

Calls

4 calls:

25.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
22.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
14.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
3.0ms	(tanh.f64 (/.f64 x y))

series4.3s (32.4%)

Counts

4 → 53

Calls

4 calls:

1.7s	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
1.6s	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
826.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
240.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 4158 to 3115 computations (25.1% saved)

simplify180.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5020	5086

prune290.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	172	3	175

Error

Counts

175 → 3

Compiler

Compiled 4777 to 1430 computations (70.1% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 z (-.f64 t x)))
0.0b	(*.f64 z (-.f64 t x))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_9648` `cancel-sign-sub-inv_binary64_9592`
10×	`*-un-lft-identity_binary64_9626`
8×	`distribute-rgt-in_binary64_9576` `add-cube-cbrt_binary64_9661` `distribute-lft-in_binary64_9575` `associate-+r+_binary64_9558`
5×	`associate-r_binary64_9566`
4×	`sub-neg_binary64_9619` `add-log-exp_binary64_9665` `pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
3×	`associate-l_binary64_9567`
2×	`associate-*r/_binary64_9568`
1×	`flip3--_binary64_9630` `prod-exp_binary64_9675` `distribute-lft-out--_binary64_9578` `+-commutative_binary64_9556` `difference-of-squares_binary64_9595` `pow-prod-down_binary64_9697` `*-commutative_binary64_9557` `flip--_binary64_9601` `flip-+_binary64_9600` `unswap-sqr_binary64_9594` `sum-log_binary64_9717` `flip3-+_binary64_9629` `cbrt-unprod_binary64_9659`

Counts

2 → 49

Calls

2 calls:

14.0ms	(*.f64 z (-.f64 t x))
9.0ms	(+.f64 x (*.f64 z (-.f64 t x)))

series400.0ms (3%)

Counts

2 → 33

Calls

2 calls:

225.0ms	(+.f64 x (*.f64 z (-.f64 t x)))
175.0ms	(*.f64 z (-.f64 t x))

Compiler

Compiled 387 to 379 computations (2.1% saved)

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5278	764

prune76.0ms (0.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	82	3	85

Error

Counts

85 → 3

Compiler

Compiled 804 to 155 computations (80.7% saved)

regimes357.0ms (2.7%)

Accuracy

Total 2.1b remaining (99.4%)

Threshold costs 0b (0%)

Compiler

Compiled 1803 to 1261 computations (30.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	23
1	26	23

end0.0ms (0%)

sample2.0s (15.1%)

Algorithm

1×

intervals

Results

749.0ms	7787×	body	128	valid
52.0ms	545×	body	128	invalid
27.0ms	72×	body	1024	valid
26.0ms	94×	body	512	valid
8.0ms	47×	body	256	valid

Compiler

Compiled 399 to 282 computations (29.3% saved)

Details

analyze1.7s (12.8%)

sample45.0ms (0.3%)

simplify101.0ms (0.8%)

prune5.0ms (0%)

localize29.0ms (0.2%)

rewrite61.0ms (0.5%)

series3.1s (23.4%)

simplify116.0ms (0.9%)

prune222.0ms (1.7%)

localize25.0ms (0.2%)

rewrite90.0ms (0.7%)

series4.3s (32.4%)

simplify180.0ms (1.3%)

prune290.0ms (2.2%)

localize14.0ms (0.1%)

rewrite30.0ms (0.2%)

series400.0ms (3%)

simplify117.0ms (0.9%)

prune76.0ms (0.6%)

regimes357.0ms (2.7%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample2.0s (15.1%)

Profiling