Details

sample93.0ms

Algorithm

intervals

Results

28.0ms	47×	body	1280	valid
18.0ms	46×	body	640	valid
9.0ms	121×	body	80	valid
6.0ms	25×	body	320	valid
4.0ms	2×	body	2560	valid
3.0ms	74×	body	80	nan
3.0ms	52×	body	80	overflowed
2.0ms	11×	body	640	nan
2.0ms	16×	body	160	valid
1.0ms	6×	body	320	nan
1.0ms	3×	body	1280	nan
0.0ms	5×	body	160	nan

simplify204.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	33	7
2	49	7
3	71	7
4	93	7
5	180	7
6	232	7
7	411	7
8	710	7
9	1092	7
10	1240	7
11	1558	7
12	4191	7
13	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

Merged error: 23.0b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
2.3b	(+ (- 1.0 y) (* y (exp z)))
3.6b	(log (+ (- 1.0 y) (* y (exp z))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`pow1`
9×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
5×	`log-pow`
4×	`log-div` `associate-/l*`
3×	`log-prod` `flip3-+` `associate-r` `associate-l` `associate-/r*` `flip-+`
2×	`associate-+l+` `div-sub` `sum-log`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

9.0ms	(* y (exp z))
15.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
12.0ms	(+ (- 1.0 y) (* y (exp z)))
10.0ms	(log (+ (- 1.0 y) (* y (exp z))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
153.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
34.0ms	(+ (- 1.0 y) (* y (exp z)))
76.0ms	(log (+ (- 1.0 y) (* y (exp z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	452	795
1	1740	733
2	5001	726

prune234.0ms

Filtered

92 candidates to 68 candidates (73.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	86	6	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	6	93

Merged error: 5.4b

Counts

93 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- (exp z) 1) y)
0.0b	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.9b	(log (+ 1.0 (* (- (exp z) 1) y)))
5.6b	(- (exp z) 1)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
9×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`associate-l`
6×	`add-log-exp`
5×	`log-pow`
4×	`log-div` `associate-/l*` `difference-of-squares`
3×	`log-prod` `associate-r` `associate-/r*`
2×	`flip3--` `flip3-+` `difference-of-sqr-1` `div-sub` `associate-*l/` `flip--` `flip-+` `distribute-lft-out--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `rem-log-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

4 → 87

Calls

4 calls:

7.0ms	(* (- (exp z) 1) y)
5.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
2.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
4.0ms	(- (exp z) 1)

series225.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (- (exp z) 1) y)
112.0ms	(/ (log (+ 1.0 (* (- (exp z) 1) y))) t)
57.0ms	(log (+ 1.0 (* (- (exp z) 1) y)))
13.0ms	(- (exp z) 1)

simplify50.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	446	792
1	1780	735
2	5001	726

prune214.0ms

Filtered

99 candidates to 69 candidates (69.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	99	6	105

Merged error: 5.4b

Counts

105 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 0.5 (pow z 2))
0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
4.7b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.2b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-r`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-l` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* 0.5 (pow z 2))
5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
10.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series299.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 0.5 (pow z 2))
70.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
86.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
119.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify61.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	415	800
1	1832	721
2	5001	715

prune296.0ms

Filtered

101 candidates to 70 candidates (69.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	92	9	101
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	93	14	107

Merged error: 5.4b

Counts

107 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.3b	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
4.7b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0b	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
60×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
19×	`add-exp-log`
18×	`associate-/r*`
13×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
7×	`pow1` `flip3-+` `flip-+`
6×	`div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`associate-r` `associate-l`
2×	`rec-exp` `frac-2neg` `1-exp` `associate-*r/` `clear-num`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 146

Calls

4 calls:

5.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
7.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
7.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

series751.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
160.0ms	(/ 1 (/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z))))))
87.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
435.0ms	(/ t (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))))

simplify91.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	649	2208
1	3269	2018
2	5001	1932

prune328.0ms

Filtered

158 candidates to 92 candidates (58.2%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	11	12
Picked	0	1	1
Done	0	1	1
Total	158	14	172

Merged error: 5.4b

Counts

172 → 14

regimes639.0ms

Accuracy

73% (4.4b remaining)

Error of 8.7b against oracle of 4.4b and baseline of 20.5b

bsearch87.0ms

Steps

Iters	Range		Point
9	-88935.59155308959	-0.0014803844373699059	-0.0017514687397435016

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	24
1	36	24

end0.0ms

sample2.7s

Algorithm

intervals

Results

831.0ms	1432×	body	1280	valid
556.0ms	1648×	body	640	valid
244.0ms	3448×	body	80	valid
204.0ms	936×	body	320	valid
116.0ms	2521×	body	80	nan
111.0ms	83×	body	2560	valid
91.0ms	1498×	body	80	overflowed
66.0ms	267×	body	640	nan
65.0ms	482×	body	160	valid
40.0ms	116×	body	1280	nan
30.0ms	181×	body	320	nan
11.0ms	105×	body	160	nan