Details

analyze2.1s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample49.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
1.0ms	8×	body	80	invalid

simplify260.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (250.0ms)

Iter	Nodes	Cost
0	4818	49
1	4818	49

prune16.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 30.9b

Counts

2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
30.2b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1201`
18×	`*-un-lft-identity_binary64_1216` `add-cube-cbrt_binary64_1187`
12×	`add-cbrt-cube_binary64_1188` `add-exp-log_binary64_1180`
10×	`pow1_binary64_1162`
9×	`associate-l_binary64_1276` `associate-r_binary64_1275` `times-frac_binary64_1211`
6×	`associate-*l/_binary64_1278`
5×	`flip-+_binary64_1241` `flip3-+_binary64_1214`
4×	`add-log-exp_binary64_1181`
3×	`cbrt-unprod_binary64_1185` `pow-prod-down_binary64_1143` `unswap-sqr_binary64_1244` `prod-exp_binary64_1167` `-commutative_binary64_1284` `associate-/r_binary64_1279` `associate-/l*_binary64_1280`
2×	`associate-/r/_binary64_1281` `associate-/l/_binary64_1282`
1×	`div-exp_binary64_1169` `div-inv_binary64_1217` `clear-num_binary64_1219` `cbrt-undiv_binary64_1186` `frac-2neg_binary64_1209`

Counts

4 → 91

Calls

4 calls:

12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
10.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
27.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

series582.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
56.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
35.0ms	(.f64 (+.f64 (.f64 x y) z) y)
433.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

simplify98.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5169	3369

prune499.0ms

Filtered

87 candidates to 103 candidates (-18.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	89	14	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	14	104

Merged error: 29.8b

Counts

104 → 14

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.2b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
30.3b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_1201`
25×	`*-un-lft-identity_binary64_1216`
24×	`add-cube-cbrt_binary64_1187`
21×	`associate-r_binary64_1275`
20×	`times-frac_binary64_1211`
18×	`add-exp-log_binary64_1180`
15×	`add-cbrt-cube_binary64_1188`
11×	`pow1_binary64_1162`
9×	`associate-l_binary64_1276`
6×	`associate-*l/_binary64_1278` `flip-+_binary64_1241` `flip3-+_binary64_1214`
5×	`unswap-sqr_binary64_1244` `prod-exp_binary64_1167`
4×	`cbrt-unprod_binary64_1185` `associate-/r/_binary64_1281` `add-log-exp_binary64_1181`
3×	`pow-prod-down_binary64_1143` `-commutative_binary64_1284` `associate-/r_binary64_1279` `associate-/l*_binary64_1280`
2×	`div-exp_binary64_1169` `rec-exp_binary64_1168` `frac-times_binary64_1208` `div-inv_binary64_1217` `cbrt-undiv_binary64_1186`
1×	`un-div-inv_binary64_1218` `clear-num_binary64_1219` `associate-*r/_binary64_1277` `pow-flip_binary64_1146` `inv-pow_binary64_1138` `frac-2neg_binary64_1209`

Counts

4 → 113

Calls

4 calls:

14.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
14.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
31.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

series608.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
32.0ms	(.f64 (+.f64 (.f64 x y) z) y)
80.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
443.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

simplify109.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5072	4199

prune468.0ms

Filtered

90 candidates to 125 candidates (-38.9%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	121	4	125
Fresh	3	10	13
Picked	0	1	1
Done	0	0	0
Total	124	15	139

Merged error: 29.8b

Counts

139 → 15

localize58.0ms

Local error

Found 4 expressions with local error:

23.3b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))
23.3b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))
23.3b	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c))
30.2b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))) (.f64 y (cbrt.f64 (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_1216` `add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187`
9×	`cbrt-prod_binary64_1183` `times-frac_binary64_1211`
6×	`add-cbrt-cube_binary64_1188` `add-exp-log_binary64_1180` `cbrt-div_binary64_1184`
5×	`flip-+_binary64_1241` `flip3-+_binary64_1214`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1181`
3×	`pow1/3_binary64_1154` `associate-/r_binary64_1279` `associate-/l_binary64_1280`
2×	`associate-/r/_binary64_1281` `associate-/l/_binary64_1282`
1×	`div-exp_binary64_1169` `div-inv_binary64_1217` `clear-num_binary64_1219` `cbrt-undiv_binary64_1186` `frac-2neg_binary64_1209`

Counts

4 → 70

Calls

4 calls:

13.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))
10.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))
10.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c))
54.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))) (.f64 y (cbrt.f64 (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))

series836.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))
128.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))
125.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c))
458.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 y a) y) b) y) c))) (.f64 y (cbrt.f64 (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)))) i))

simplify83.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5166	3392

prune400.0ms

Filtered

73 candidates to 82 candidates (-12.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	13	13
Picked	0	1	1
Done	0	1	1
Total	82	15	97

Merged error: 29.8b

Counts

97 → 15

localize62.0ms

Local error

Found 4 expressions with local error:

20.4b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
20.4b	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
20.4b	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
26.1b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (.f64 (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64_1184`
10×	`flip-+_binary64_1241` `flip3-+_binary64_1214`
9×	`*-un-lft-identity_binary64_1216` `add-exp-log_binary64_1180` `add-sqr-sqrt_binary64_1201` `add-cube-cbrt_binary64_1187` `cbrt-prod_binary64_1183`
8×	`associate-/r/_binary64_1281`
7×	`add-cbrt-cube_binary64_1188`
4×	`frac-times_binary64_1208` `pow1_binary64_1162` `add-log-exp_binary64_1181`
3×	`pow1/3_binary64_1154` `associate-/l*_binary64_1280` `times-frac_binary64_1211`
2×	`associate-l/_binary64_1278` `div-exp_binary64_1169` `associate-r/_binary64_1277` `cbrt-undiv_binary64_1186` `associate-/l/_binary64_1282`
1×	`cbrt-unprod_binary64_1185` `div-inv_binary64_1217` `clear-num_binary64_1219` `prod-exp_binary64_1167` `frac-2neg_binary64_1209` `associate-/r*_binary64_1279`

Counts

4 → 70

Calls

4 calls:

12.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
12.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
12.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
50.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (.f64 (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))))

series1.5s

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
201.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
174.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
981.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y x) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (.f64 (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))))

simplify110.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5053	4286

prune300.0ms

Filtered

72 candidates to 82 candidates (-13.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	10	12
Picked	0	1	1
Done	0	2	2
Total	82	15	97

Merged error: 29.2b

Counts

97 → 15

regimes1.8s

Accuracy

0% (1.7b remaining)

Error of 28.4b against oracle of 26.8b and baseline of 28.4b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	52
1	45	52

end0.0ms

sample1.3s

Algorithm

intervals

Results

711.0ms	8000×	body	80	valid
24.0ms	238×	body	80	invalid

Details

analyze2.1s

sample49.0ms

simplify260.0ms

prune16.0ms

localize39.0ms

rewrite59.0ms

series582.0ms

simplify98.0ms

prune499.0ms

localize42.0ms

rewrite70.0ms

series608.0ms

simplify109.0ms

prune468.0ms

localize58.0ms

rewrite88.0ms

series836.0ms

simplify83.0ms

prune400.0ms

localize62.0ms

rewrite89.0ms

series1.5s

simplify110.0ms

prune300.0ms

regimes1.8s

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.3s

Profiling