Details

analyze1.0s

Algorithm

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

sample37.0ms

Algorithm

intervals

Results

13.0ms	249×	body	80	valid
5.0ms	23×	body	80	invalid
1.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5936	23

prune8.0ms

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

Merged error: 5.3b

Counts

2 → 1

localize17.0ms

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-sub_binary64_2491`
14×	`tanh-def-c_binary64_2323` `tanh-def-b_binary64_2322` `tanh-def-a_binary64_2321`
11×	`associate-*r/_binary64_2561`
9×	`pow1_binary64_2446` `add-exp-log_binary64_2464` `add-sqr-sqrt_binary64_2485` `add-cbrt-cube_binary64_2472` `*-un-lft-identity_binary64_2500`
6×	`add-log-exp_binary64_2465`
5×	`add-cube-cbrt_binary64_2471` `associate-r_binary64_2559`
3×	`sub-neg_binary64_2504` `pow-prod-down_binary64_2427` `prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
2×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529` `flip--_binary64_2526` `flip3--_binary64_2499`
1×	`distribute-rgt-in_binary64_2543` `associate-l_binary64_2560` `diff-log_binary64_2416` `distribute-lft-in_binary64_2542` `*-commutative_binary64_2568`

Counts

4 → 75

Calls

4 calls:

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

series601.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(tanh.f64 (/.f64 t y))
226.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
90.0ms	(tanh.f64 (/.f64 x y))
205.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5001	2640

prune402.0ms

Filtered

72 candidates to 87 candidates (-20.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Merged error: 1.6b

Counts

88 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
0.0b	(tanh.f64 (/.f64 x y))
1.1b	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
3.6b	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

33×	`associate-*r/_binary64_2561`
27×	`frac-sub_binary64_2491`
19×	`tanh-def-c_binary64_2323` `tanh-def-b_binary64_2322` `tanh-def-a_binary64_2321`
13×	`add-sqr-sqrt_binary64_2485`
11×	`pow1_binary64_2446` `add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472` `*-un-lft-identity_binary64_2500`
7×	`add-cube-cbrt_binary64_2471` `sub-neg_binary64_2504`
6×	`associate-l_binary64_2560` `add-log-exp_binary64_2465` `associate-r_binary64_2559`
5×	`distribute-rgt-in_binary64_2543` `distribute-lft-in_binary64_2542`
4×	`pow-prod-down_binary64_2427` `prod-exp_binary64_2451` `cbrt-unprod_binary64_2469`
3×	`flip--_binary64_2526` `flip3--_binary64_2499`
2×	`distribute-lft-out--_binary64_2545` `difference-of-squares_binary64_2529` `*-commutative_binary64_2568`
1×	`diff-log_binary64_2416` `unswap-sqr_binary64_2528`

Counts

4 → 98

Calls

4 calls:

7.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
2.0ms	(tanh.f64 (/.f64 x y))
10.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
13.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))
79.0ms	(tanh.f64 (/.f64 x y))
253.0ms	(*.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y))))
194.0ms	(.f64 y (.f64 z (-.f64 (tanh.f64 (/.f64 t y)) (tanh.f64 (/.f64 x y)))))

simplify62.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5348	3522

prune463.0ms

Filtered

84 candidates to 110 candidates (-31.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	4	110
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	109	7	116

Merged error: 1.6b

Counts

116 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(tanh.f64 (/.f64 x y))
2.1b	(*.f64 z (tanh.f64 (/.f64 t y)))
2.2b	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
3.6b	(.f64 y (+.f64 (.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

35×	`associate-*r/_binary64_2561`
18×	`add-sqr-sqrt_binary64_2485`
17×	`associate-r_binary64_2559`
12×	`add-cube-cbrt_binary64_2471` `distribute-neg-frac_binary64_2541` `*-un-lft-identity_binary64_2500`
10×	`pow1_binary64_2446` `add-exp-log_binary64_2464` `add-cbrt-cube_binary64_2472`
9×	`associate-l_binary64_2560` `tanh-def-c_binary64_2323` `frac-add_binary64_2490` `tanh-def-b_binary64_2322` `tanh-def-a_binary64_2321`
4×	`add-log-exp_binary64_2465`
3×	`distribute-lft-neg-in_binary64_2534` `distribute-rgt-neg-in_binary64_2535` `pow-prod-down_binary64_2427` `prod-exp_binary64_2451` `unswap-sqr_binary64_2528` `*-commutative_binary64_2568` `cbrt-unprod_binary64_2469`
1×	`flip3-+_binary64_2498` `distribute-rgt-in_binary64_2543` `distribute-lft-in_binary64_2542` `neg-mul-1_binary64_2507` `flip-+_binary64_2525` `distribute-rgt-neg-out_binary64_2537` `distribute-lft-out_binary64_2544`

Counts

4 → 92

Calls

4 calls:

2.0ms	(tanh.f64 (/.f64 x y))
5.0ms	(*.f64 z (tanh.f64 (/.f64 t y)))
7.0ms	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
12.0ms	(.f64 y (+.f64 (.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))))

series491.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(tanh.f64 (/.f64 x y))
96.0ms	(*.f64 z (tanh.f64 (/.f64 t y)))
99.0ms	(*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))
212.0ms	(.f64 y (+.f64 (.f64 z (tanh.f64 (/.f64 t y))) (*.f64 z (neg.f64 (tanh.f64 (/.f64 x y))))))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5421	2048

prune432.0ms

Filtered

82 candidates to 104 candidates (-26.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	104	7	111

Merged error: 1.6b

Counts

111 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

5.8b	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (.f64 (.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) (cbrt.f64 (tanh.f64 (/.f64 x y)))) (cbrt.f64 (tanh.f64 (/.f64 x y))))))
8.3b	(cbrt.f64 (tanh.f64 (/.f64 x y)))
8.3b	(cbrt.f64 (tanh.f64 (/.f64 x y)))
8.3b	(cbrt.f64 (tanh.f64 (/.f64 x y)))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

441×	`cbrt-div_binary64_2468`
243×	`frac-times_binary64_2492`
236×	`associate-*r/_binary64_2561`
210×	`tanh-def-c_binary64_2323` `tanh-def-b_binary64_2322` `tanh-def-a_binary64_2321`
189×	`frac-sub_binary64_2491`
81×	`associate-*l/_binary64_2562`
9×	`pow1_binary64_2446` `add-exp-log_binary64_2464` `cbrt-prod_binary64_2467` `add-cbrt-cube_binary64_2472`
8×	`add-cube-cbrt_binary64_2471` `add-sqr-sqrt_binary64_2485` `*-un-lft-identity_binary64_2500`
4×	`add-log-exp_binary64_2465`
3×	`pow1/3_binary64_2438` `pow-prod-down_binary64_2427` `prod-exp_binary64_2451` `associate-r_binary64_2559` `cbrt-unprod_binary64_2469`
2×	`sub-neg_binary64_2504`
1×	`distribute-rgt-in_binary64_2543` `associate-l_binary64_2560` `distribute-lft-in_binary64_2542` `*-commutative_binary64_2568` `flip--_binary64_2526` `flip3--_binary64_2499`

Counts

4 → 253

Calls

4 calls:

42.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (.f64 (.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) (cbrt.f64 (tanh.f64 (/.f64 x y)))) (cbrt.f64 (tanh.f64 (/.f64 x y))))))
2.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))
2.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))
3.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))

series766.0ms

Counts

4 → 12

Calls

4 calls:

198.0ms	(.f64 (.f64 y z) (-.f64 (tanh.f64 (/.f64 t y)) (.f64 (.f64 (cbrt.f64 (tanh.f64 (/.f64 x y))) (cbrt.f64 (tanh.f64 (/.f64 x y)))) (cbrt.f64 (tanh.f64 (/.f64 x y))))))
193.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))
187.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))
188.0ms	(cbrt.f64 (tanh.f64 (/.f64 x y)))

simplify213.0ms

Algorithm

egg-herbie

Counts

265 → 265

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5255	23846

prune1.2s

Filtered

182 candidates to 265 candidates (-45.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	265	0	265
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	265	7	272

Merged error: 1.6b

Counts

272 → 7

regimes443.0ms

Accuracy

0% (0.6b remaining)

Error of 1.9b against oracle of 1.3b and baseline of 1.9b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	26
1	44	26

end0.0ms

sample820.0ms

Algorithm

intervals

Results

426.0ms	7754×	body	80	valid
30.0ms	555×	body	80	invalid
21.0ms	99×	body	640	valid
13.0ms	50×	body	1280	valid
9.0ms	59×	body	320	valid
4.0ms	38×	body	160	valid

Details

analyze1.0s

sample37.0ms

simplify51.0ms

prune8.0ms

localize17.0ms

rewrite26.0ms

series601.0ms

simplify55.0ms

prune402.0ms

localize19.0ms

rewrite35.0ms

series743.0ms

simplify62.0ms

prune463.0ms

localize23.0ms

rewrite29.0ms

series491.0ms

simplify56.0ms

prune432.0ms

localize29.0ms

rewrite84.0ms

series766.0ms

simplify213.0ms

prune1.2s

regimes443.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample820.0ms

Profiling