Details

analyze952.0ms

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
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14

sample54.0ms

Algorithm

intervals

Results

17.0ms	256×	body	80	valid
2.0ms	31×	body	80	invalid

simplify373.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (359.0ms)

Iter	Nodes	Cost
0	4789	16
1	4789	16

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: 0.9b

Counts

2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.5b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_5053`
71×	`*-un-lft-identity_binary64_5068`
51×	`times-frac_binary64_5063`
31×	`associate-r_binary64_5127`
27×	`add-cube-cbrt_binary64_5039`
22×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
10×	`add-cbrt-cube_binary64_5040` `add-exp-log_binary64_5032`
5×	`associate-/l_binary64_5132` `associate-/r_binary64_5131` `add-log-exp_binary64_5033` `pow1_binary64_5014`
4×	`associate-/r/_binary64_5133`
3×	`associate-l_binary64_5128` `flip3--_binary64_5067` `flip--_binary64_5094`
2×	`associate-/l/_binary64_5134` `cbrt-undiv_binary64_5038` `prod-exp_binary64_5019` `unswap-sqr_binary64_5096` `cbrt-unprod_binary64_5037` `div-exp_binary64_5021` `div-inv_binary64_5069`
1×	`pow-prod-down_binary64_4995` `flip3-+_binary64_5066` `frac-2neg_binary64_5061` `flip-+_binary64_5093` `clear-num_binary64_5071` `div-sub_binary64_5062` `associate-r/_binary64_5129` `sum-log_binary64_4983` `-commutative_binary64_5136` `+-commutative_binary64_5135`

Counts

3 → 113

Calls

3 calls:

4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
18.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
30.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
110.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify93.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5026	2072

prune428.0ms

Filtered

83 candidates to 122 candidates (-47.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	8	122
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	114	9	123

Merged error: 0b

Counts

123 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 z a))
0.0b	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
0.2b	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
1.5b	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_5053`
42×	`*-un-lft-identity_binary64_5068`
32×	`times-frac_binary64_5063`
26×	`add-exp-log_binary64_5032`
25×	`add-cube-cbrt_binary64_5039`
22×	`associate-r_binary64_5127`
20×	`add-cbrt-cube_binary64_5040`
12×	`pow1_binary64_5014`
10×	`prod-exp_binary64_5019`
8×	`associate-l_binary64_5128` `distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097` `associate-*r/_binary64_5129`
7×	`cbrt-unprod_binary64_5037`
6×	`add-log-exp_binary64_5033` `flip3--_binary64_5067` `flip--_binary64_5094`
5×	`associate-/r*_binary64_5131`
4×	`pow-prod-down_binary64_4995` `associate-*l/_binary64_5130` `associate-/r/_binary64_5133` `frac-times_binary64_5060`
3×	`associate-/l*_binary64_5132` `cbrt-undiv_binary64_5038` `rec-exp_binary64_5020` `unswap-sqr_binary64_5096` `div-exp_binary64_5021`
2×	`un-div-inv_binary64_5070` `div-inv_binary64_5069` `*-commutative_binary64_5136`
1×	`flip3-+_binary64_5066` `frac-2neg_binary64_5061` `flip-+_binary64_5093` `clear-num_binary64_5071` `pow-flip_binary64_4998` `inv-pow_binary64_4990` `sum-log_binary64_4983` `+-commutative_binary64_5135`

Counts

4 → 127

Calls

4 calls:

5.0ms	(/.f64 1 (-.f64 z a))
9.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
13.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
13.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))

series244.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/.f64 1 (-.f64 z a))
109.0ms	(+.f64 x (.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))))
35.0ms	(*.f64 (-.f64 z t) (/.f64 1 (-.f64 z a)))
75.0ms	(.f64 y (.f64 (-.f64 z t) (/.f64 1 (-.f64 z a))))

simplify98.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4986	1882
1	4986	1882

prune415.0ms

Filtered

84 candidates to 139 candidates (-65.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	140	8	148

Merged error: 0b

Counts

148 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.3b	(*.f64 (/.f64 (-.f64 z t) (-.f64 z a)) (cbrt.f64 y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64_5053`
40×	`*-un-lft-identity_binary64_5068`
31×	`associate-l_binary64_5128`
27×	`times-frac_binary64_5063`
20×	`add-cube-cbrt_binary64_5039`
14×	`cbrt-prod_binary64_5035`
10×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
9×	`add-exp-log_binary64_5032`
7×	`add-cbrt-cube_binary64_5040`
6×	`pow1_binary64_5014` `associate-r_binary64_5127`
4×	`add-log-exp_binary64_5033` `unswap-sqr_binary64_5096`
3×	`pow1/3_binary64_5006`
2×	`associate-/r/_binary64_5133` `prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
1×	`pow-prod-down_binary64_4995` `cbrt-undiv_binary64_5038` `associate-l/_binary64_5130` `flip3--_binary64_5067` `flip--_binary64_5094` `div-exp_binary64_5021` `div-inv_binary64_5069` `-commutative_binary64_5136`

Counts

4 → 88

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
20.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 z a)) (cbrt.f64 y))

series394.0ms

Counts

4 → 12

Calls

4 calls:

83.0ms	(cbrt.f64 y)
80.0ms	(cbrt.f64 y)
85.0ms	(cbrt.f64 y)
145.0ms	(*.f64 (/.f64 (-.f64 z t) (-.f64 z a)) (cbrt.f64 y))

simplify98.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5022	1286

prune359.0ms

Filtered

78 candidates to 100 candidates (-28.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	100	8	108

Merged error: 0b

Counts

108 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
4.8b	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_5053`
60×	`*-un-lft-identity_binary64_5068`
50×	`times-frac_binary64_5063`
46×	`associate-r_binary64_5127`
42×	`cbrt-prod_binary64_5035`
28×	`add-cube-cbrt_binary64_5039`
25×	`add-exp-log_binary64_5032`
20×	`cbrt-div_binary64_5036`
18×	`add-cbrt-cube_binary64_5040`
16×	`distribute-lft-out--_binary64_5113` `difference-of-squares_binary64_5097`
15×	`associate-l_binary64_5128`
10×	`associate-/r/_binary64_5133` `flip3--_binary64_5067` `flip--_binary64_5094`
8×	`prod-exp_binary64_5019` `cbrt-unprod_binary64_5037`
7×	`cbrt-undiv_binary64_5038` `div-exp_binary64_5021`
6×	`pow1_binary64_5014` `unswap-sqr_binary64_5096`
5×	`frac-times_binary64_5060`
4×	`add-log-exp_binary64_5033`
3×	`pow1/3_binary64_5006` `associate-l/_binary64_5130` `associate-r/_binary64_5129`
2×	`div-inv_binary64_5069`
1×	`pow-prod-down_binary64_4995` `*-commutative_binary64_5136`

Counts

4 → 136

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z a))
4.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
41.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(cbrt.f64 (-.f64 z a))
111.0ms	(cbrt.f64 (-.f64 z a))
111.0ms	(cbrt.f64 (-.f64 z a))
135.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))) (/.f64 (-.f64 z t) (cbrt.f64 (-.f64 z a))))

simplify92.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5135	3707

prune509.0ms

Filtered

120 candidates to 148 candidates (-23.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	148	8	156

Merged error: 0b

Counts

156 → 8

regimes1.1s

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	16
1	31	16

end0.0ms

sample709.0ms

Algorithm

intervals

Results

307.0ms	7999×	body	80	valid
27.0ms	739×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze952.0ms

sample54.0ms

simplify373.0ms

prune8.0ms

localize12.0ms

rewrite40.0ms

series242.0ms

simplify93.0ms

prune428.0ms

localize21.0ms

rewrite46.0ms

series244.0ms

simplify98.0ms

prune415.0ms

localize18.0ms

rewrite26.0ms

series394.0ms

simplify98.0ms

prune359.0ms

localize19.0ms

rewrite57.0ms

series469.0ms

simplify92.0ms

prune509.0ms

regimes1.1s

bsearch0.0ms

simplify5.0ms

end0.0ms

sample709.0ms

Profiling