Details

analyze1.1s (12.1%)

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)

sample38.0ms (0.4%)

Algorithm

1×

intervals

Results

16.0ms	252×	body	128	valid
1.0ms	18×	body	128	invalid
1.0ms	2×	body	1024	valid
0.0ms	2×	body	512	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5155	23

prune5.0ms (0.1%)

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

3.1b

Counts

2 → 1

Compiler

Compiled 30 to 24 computations (20% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 t y))
0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b	(tanh.f64 (/.f64 x y))
3.4b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

rewrite176.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

1.4b

Rules

18×	`frac-sub_binary64_10999`
14×	`tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177`
12×	`add-sqr-sqrt_binary64_11012` `*-un-lft-identity_binary64_10990`
11×	`associate-*r/_binary64_10932`
9×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `cancel-sign-sub-inv_binary64_10956`
8×	`add-cube-cbrt_binary64_11025`
6×	`add-log-exp_binary64_11029`
5×	`associate-r_binary64_10930`
4×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
3×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `sub-neg_binary64_10983`
2×	`flip3--_binary64_10994` `flip--_binary64_10965` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942`
1×	`associate-l_binary64_10931` `*-commutative_binary64_10921` `diff-log_binary64_11082`

Counts

4 → 84

Calls

4 calls:

25.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
15.0ms	(-.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))

Compiler

Compiled 2795 to 837 computations (70.1% saved)

series2.2s (24.4%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

1.2s	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
600.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
185.0ms	(tanh.f64 (/.f64 x y))
153.0ms	(tanh.f64 (/.f64 t y))

Compiler

Compiled 4785 to 3311 computations (30.8% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4972	3564
1	4972	3564

prune168.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	129	3	132

Error

Counts

132 → 3

Compiler

Compiled 3511 to 1054 computations (70% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite219.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

33×	`associate-*r/_binary64_10932`
27×	`frac-sub_binary64_10999`
21×	`cancel-sign-sub-inv_binary64_10956`
20×	`add-sqr-sqrt_binary64_11012` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
19×	`tanh-def-c_binary64_11179` `tanh-def-b_binary64_11178` `tanh-def-a_binary64_11177`
18×	`*-un-lft-identity_binary64_10990`
14×	`add-cube-cbrt_binary64_11025`
11×	`pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
7×	`sub-neg_binary64_10983`
6×	`add-log-exp_binary64_11029` `associate-l_binary64_10931` `associate-r_binary64_10930`
4×	`pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023`
3×	`flip3--_binary64_10994` `flip--_binary64_10965`
2×	`difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `*-commutative_binary64_10921`
1×	`unswap-sqr_binary64_10958` `diff-log_binary64_11082`

Counts

4 → 119

Calls

4 calls:

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

Compiler

Compiled 4022 to 1228 computations (69.5% saved)

series2.6s (28.6%)

Error

Counts

4 → 51

Calls

4 calls:

1.1s	(.f64 z (.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))
699.0ms	(*.f64 y (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
533.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
171.0ms	(tanh.f64 (/.f64 x y))

Compiler

Compiled 5674 to 4008 computations (29.4% saved)

simplify120.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5031	4977

prune166.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	170	0	170
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	170	3	173

Error

Counts

173 → 3

Compiler

Compiled 4701 to 1415 computations (69.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite53.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_11012` `cancel-sign-sub-inv_binary64_10956`
10×	`*-un-lft-identity_binary64_10990`
8×	`add-cube-cbrt_binary64_11025` `distribute-rgt-in_binary64_10940` `associate-+r+_binary64_10922` `distribute-lft-in_binary64_10939`
5×	`associate-r_binary64_10930`
4×	`add-log-exp_binary64_11029` `pow1_binary64_11051` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `sub-neg_binary64_10983`
3×	`associate-l_binary64_10931`
2×	`associate-*r/_binary64_10932`
1×	`sum-log_binary64_11081` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `pow-prod-down_binary64_11061` `prod-exp_binary64_11039` `cbrt-unprod_binary64_11023` `unswap-sqr_binary64_10958` `flip3--_binary64_10994` `flip--_binary64_10965` `difference-of-squares_binary64_10959` `distribute-lft-out--_binary64_10942` `*-commutative_binary64_10921`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 z (-.f64 t x))
4.0ms	(+.f64 x (*.f64 z (-.f64 t x)))

Compiler

Compiled 682 to 193 computations (71.7% saved)

series273.0ms (3%)

Error

Counts

2 → 33

Calls

2 calls:

137.0ms	(+.f64 x (*.f64 z (-.f64 t x)))
115.0ms	(*.f64 z (-.f64 t x))

Compiler

Compiled 618 to 414 computations (33% saved)

simplify83.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5278	764

prune63.0ms (0.7%)

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 159 computations (80.2% saved)

regimes260.0ms (2.8%)

Accuracy

Total 0.9b remaining (97%)

Threshold costs 0.9b (97%)

Compiler

Compiled 2333 to 1591 computations (31.8% saved)

bsearch3.0ms (0%)

Compiler: Compiled 15 to 12 computations (20% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	61
1	49	61

end0.0ms (0%)

sample1.4s (15.1%)

Algorithm

1×

intervals

Results

453.0ms	7775×	body	128	valid
30.0ms	549×	body	128	invalid
16.0ms	72×	body	1024	valid
15.0ms	94×	body	512	valid
6.0ms	59×	body	256	valid
0.0ms	1×	body	512	invalid

Compiler

Compiled 530 to 357 computations (32.6% saved)

Details

analyze1.1s (12.1%)

sample38.0ms (0.4%)

simplify70.0ms (0.8%)

prune5.0ms (0.1%)

localize22.0ms (0.2%)

rewrite176.0ms (1.9%)

series2.2s (24.4%)

simplify86.0ms (0.9%)

prune168.0ms (1.8%)

localize11.0ms (0.1%)

rewrite219.0ms (2.4%)

series2.6s (28.6%)

simplify120.0ms (1.3%)

prune166.0ms (1.8%)

localize5.0ms (0.1%)

rewrite53.0ms (0.6%)

series273.0ms (3%)

simplify83.0ms (0.9%)

prune63.0ms (0.7%)

regimes260.0ms (2.8%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (15.1%)

Profiling