Details

sample88.0ms

Algorithm

intervals

Results

25.0ms	41×	body	1280	valid
13.0ms	44×	body	640	valid
9.0ms	38×	body	320	valid
8.0ms	116×	body	80	valid
6.0ms	5×	body	2560	valid
4.0ms	92×	body	80	nan
2.0ms	37×	body	80	overflowed
2.0ms	14×	body	160	valid
1.0ms	3×	body	1280	nan
1.0ms	4×	body	640	nan
1.0ms	4×	body	320	nan
0.0ms	5×	body	160	nan

simplify201.0ms

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: 24.1b

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)
1.8b	(log (+ (- 1.0 y) (* y (exp z))))
2.6b	(+ (- 1.0 y) (* y (exp z)))

rewrite29.0ms

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:

5.0ms	(* y (exp z))
9.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
6.0ms	(log (+ (- 1.0 y) (* y (exp z))))
7.0ms	(+ (- 1.0 y) (* y (exp z)))

series287.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* y (exp z))
156.0ms	(/ (log (+ (- 1.0 y) (* y (exp z)))) t)
71.0ms	(log (+ (- 1.0 y) (* y (exp z))))
39.0ms	(+ (- 1.0 y) (* y (exp z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (42.0ms)

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

prune243.0ms

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: 4.4b

Counts

93 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
0.0b	(* 0.5 (pow z 2))
2.4b	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
3.5b	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

9.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
6.0ms	(* 0.5 (pow z 2))
8.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
6.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

series372.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(- x (/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t))
30.0ms	(* 0.5 (pow z 2))
91.0ms	(* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))
123.0ms	(/ (+ (log 1.0) (* y (+ (* 0.5 (pow z 2)) (* 1.0 z)))) t)

simplify63.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	460	952
1	1914	882
2	5002	882

prune296.0ms

Filtered

105 candidates to 73 candidates (69.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	5	105
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 4.2b

Counts

111 → 10

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
3.1b	(/ (* z y) t)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

11.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
5.0ms	(/ (* z y) t)

series106.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(- x (+ (* 1.0 (/ (* z y) t)) (/ (log 1.0) t)))
19.0ms	(/ (* z y) t)

simplify83.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	204	286
1	812	256
2	3760	256
3	5001	256

prune125.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	37	6	43
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	40	13	53

Merged error: 3.7b

Counts

53 → 13

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
0.4b	(/ 1 (/ t (* z y)))
3.0b	(/ t (* z y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
29×	`add-exp-log`
23×	`add-sqr-sqrt` `*-un-lft-identity`
21×	`add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*` `add-log-exp`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`pow1` `prod-exp`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `diff-log` `clear-num` `cbrt-unprod`
1×	`sub-neg` `flip3--` `pow-flip` `sum-log` `associate-/r/` `flip--` `associate--r+` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

3 → 93

Calls

3 calls:

14.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
11.0ms	(/ 1 (/ t (* z y)))
5.0ms	(/ t (* z y))

series164.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- x (+ (* 1.0 (/ 1 (/ t (* z y)))) (/ (log 1.0) t)))
21.0ms	(/ 1 (/ t (* z y)))
21.0ms	(/ t (* z y))

simplify45.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	374	632
1	1604	546
2	5002	496

prune150.0ms

Filtered

102 candidates to 54 candidates (52.9%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	100	15	115

Merged error: 3.7b

Counts

115 → 15

regimes572.0ms

Accuracy

60.8% (5.3b remaining)

Error of 9.1b against oracle of 3.7b and baseline of 17.3b

bsearch60.0ms

Steps

Iters	Range		Point
6	-32116549.452598076	-3141188.981794727	-3197164.2606992587

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	15
1	31	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

821.0ms	1435×	body	1280	valid
528.0ms	1599×	body	640	valid
246.0ms	3517×	body	80	valid
192.0ms	905×	body	320	valid
130.0ms	100×	body	2560	valid
121.0ms	2474×	body	80	nan
84.0ms	1521×	body	80	overflowed
70.0ms	284×	body	640	nan
64.0ms	474×	body	160	valid
40.0ms	111×	body	1280	nan
29.0ms	181×	body	320	nan
11.0ms	111×	body	160	nan

Details

sample88.0ms

simplify201.0ms

prune3.0ms

localize10.0ms

rewrite29.0ms

series287.0ms

simplify55.0ms

prune243.0ms

localize12.0ms

rewrite31.0ms

series372.0ms

simplify63.0ms

prune296.0ms

localize9.0ms

rewrite17.0ms

series106.0ms

simplify83.0ms

prune125.0ms

localize11.0ms

rewrite33.0ms

series164.0ms

simplify45.0ms

prune150.0ms

regimes572.0ms

bsearch60.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling