Details

sample108.0ms

Algorithm

intervals

Results

31.0ms	58×	body	10240	exit
20.0ms	37×	body	1280	valid
15.0ms	50×	body	640	valid
7.0ms	38×	body	320	valid
7.0ms	117×	body	80	valid
4.0ms	3×	body	2560	valid
3.0ms	78×	body	80	nan
1.0ms	11×	body	160	valid
1.0ms	9×	body	320	nan
1.0ms	6×	body	640	nan
0.0ms	1×	body	1280	nan
0.0ms	2×	body	160	nan

simplify207.0ms

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	1238	7
11	1552	7
12	4056	7
13	5001	7

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 23.2b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp z))
0.0b	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
1.5b	(log (+ (- 1.0 y) (* y (exp z))))
2.8b	(+ (- 1.0 y) (* y (exp z)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

7.0ms	(* y (exp z))
12.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
9.0ms	(log (+ (- 1.0 y) (* y (exp z))))
10.0ms	(+ (- 1.0 y) (* y (exp z)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* y (exp z))
168.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
80.0ms	(log (+ (- 1.0 y) (* y (exp z))))
38.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify58.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	449	836
1	1739	771
2	5001	764

prune216.0ms

Filtered

101 candidates to 68 candidates (32.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	95	7	102

Merged error: 4.4b

Counts

102 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.5 (pow z 2)) (* 1.0 z))
0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
2.7b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
5.7b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

62×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
24×	`distribute-lft-out`
22×	`times-frac`
19×	`associate-l`
18×	`add-cube-cbrt`
15×	`associate-r`
14×	`pow1`
8×	`add-exp-log` `log-pow` `add-cbrt-cube` `add-log-exp`
7×	`associate-/l*`
4×	`distribute-rgt-out` `unpow2`
3×	`+-commutative` `flip3-+` `associate-/r*` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/` `associate-/l/` `difference-of-squares`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out--` `unswap-sqr`

Counts

4 → 107

Calls

4 calls:

19.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
35.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
22.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
30.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series443.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(+ (* 0.5 (pow z 2)) (* 1.0 z))
138.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
96.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
136.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify73.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	398	1145
1	1655	1074
2	5002	1064

prune253.0ms

Filtered

119 candidates to 69 candidates (42.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	112	7	119
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	114	12	126

Merged error: 4.3b

Counts

126 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
4.6b	(/ (* z y) t)

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
36×	`times-frac`
35×	`*-un-lft-identity`
27×	`add-cube-cbrt`
13×	`associate-l`
12×	`associate-r` `associate-/l*`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`*-commutative` `unswap-sqr`
3×	`associate-/r*` `distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `diff-log` `div-exp` `distribute-lft-out` `associate--r+`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `sum-log` `flip--` `cbrt-unprod` `div-inv` `difference-of-squares`

Counts

2 → 84

Calls

2 calls:

51.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
7.0ms	(/ (* z y) t)

series119.0ms

Counts

2 → 6

Calls

2 calls:

98.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
21.0ms	(/ (* z y) t)

simplify48.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	355	555
1	1437	525
2	5001	525

prune206.0ms

Filtered

90 candidates to 65 candidates (27.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	4	7	11
Picked	0	1	1
Done	0	0	0
Total	89	13	102

Merged error: 3.6b

Counts

102 → 13

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (* y (/ z t))) (/ (log 1.0) t)))
4.0b	(* y (/ z t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`times-frac`
9×	`associate-*r/`
7×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `associate-l` `associate-/l*`
3×	`associate-/r*` `distribute-lft-out--`
2×	`diff-log` `prod-exp` `clear-num` `un-div-inv` `cbrt-unprod` `distribute-lft-out` `associate--r+` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `flip3--` `frac-2neg` `div-exp` `pow-prod-down` `sum-log` `*-commutative` `flip--` `div-inv` `difference-of-squares`

Counts

2 → 61

Calls

2 calls:

37.0ms	(- x (+ (* 1.0 (* y (/ z t))) (/ (log 1.0) t)))
8.0ms	(* y (/ z t))

series114.0ms

Counts

2 → 6

Calls

2 calls:

94.0ms	(- x (+ (* 1.0 (* y (/ z t))) (/ (log 1.0) t)))
20.0ms	(* y (/ z t))

simplify52.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	295	368
1	1258	338
2	5001	338

prune113.0ms

Filtered

67 candidates to 44 candidates (34.3%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	66	14	80

Merged error: 3.6b

Counts

80 → 14

regimes585.0ms

Accuracy

67.5% (4.1b remaining)

Error of 8.1b against oracle of 3.9b and baseline of 16.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	23
1	29	23

end0.0ms

sample3.2s

Algorithm

intervals

Results

797.0ms	1566×	body	10240	exit
763.0ms	1407×	body	1280	valid
478.0ms	1614×	body	640	valid
209.0ms	3486×	body	80	valid
178.0ms	945×	body	320	valid
110.0ms	89×	body	2560	valid
93.0ms	2500×	body	80	nan
60.0ms	489×	body	160	valid
56.0ms	277×	body	640	nan
34.0ms	116×	body	1280	nan
25.0ms	186×	body	320	nan
10.0ms	119×	body	160	nan