Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

263×

body

valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	51	8
3	61	8
4	65	8
5	65	8

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: 14.8b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

3.1b	(/ (* y b) t)
4.3b	(/ (* y z) t)
11.1b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

55×	`*-un-lft-identity`
26×	`times-frac`
21×	`distribute-lft-out`
18×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
6×	`associate-/l*`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `frac-2neg` `flip3-+` `clear-num` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-add` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

3 → 95

Calls

3 calls:

4.0ms	(/ (* y b) t)
4.0ms	(/ (* y z) t)
14.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ (* y b) t)
20.0ms	(/ (* y z) t)
110.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	447	799
1	1949	738
2	5002	723

prune300.0ms

Filtered

104 candidates to 70 candidates (67.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	91	13	104
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	13	105

Merged error: 10.9b

Counts

105 → 13

localize13.0ms

Local error

Found 3 expressions with local error:

3.1b	(/ (* y b) t)
4.9b	(* y (/ z t))
11.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
28×	`add-sqr-sqrt` `times-frac`
23×	`add-cube-cbrt`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
8×	`associate-/r*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l*`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `prod-exp` `cbrt-unprod` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/l/` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 100

Calls

3 calls:

4.0ms	(/ (* y b) t)
6.0ms	(* y (/ z t))
11.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(/ (* y b) t)
17.0ms	(* y (/ z t))
116.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	509	779
1	2231	704
2	5002	694

prune302.0ms

Filtered

109 candidates to 74 candidates (67.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	105	4	109
Fresh	4	8	12
Picked	1	0	1
Done	0	0	0
Total	110	12	122

Merged error: 9.7b

Counts

122 → 12

localize17.0ms

Local error

Found 3 expressions with local error:

3.2b	(* (* y b) (/ 1 t))
4.9b	(* y (/ z t))
11.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
31×	`add-sqr-sqrt`
28×	`times-frac`
26×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
22×	`add-cbrt-cube`
14×	`prod-exp`
10×	`pow1`
8×	`cbrt-unprod`
6×	`div-exp` `associate-/r/`
4×	`cbrt-undiv` `flip3-+` `associate-r/` `associate-l*` `pow-prod-down` `frac-add` `flip-+`
3×	`expm1-log1p-u` `associate-/r` `un-div-inv` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp`
2×	`rec-exp` `1-exp` `*-commutative` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `clear-num`

Counts

3 → 111

Calls

3 calls:

8.0ms	(* (* y b) (/ 1 t))
7.0ms	(* y (/ z t))
10.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

series135.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(* (* y b) (/ 1 t))
17.0ms	(* y (/ z t))
99.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (* y b) (/ 1 t))))

simplify88.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	652	867
1	3072	755
2	5001	729

prune306.0ms

Filtered

120 candidates to 80 candidates (66.7%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	120	12	132

Merged error: 9.7b

Counts

132 → 12

localize13.0ms

Local error

Found 3 expressions with local error:

4.9b	(* y (/ z t))
6.1b	(/ y (/ t b))
11.1b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

100×	`times-frac`
83×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
63×	`add-cube-cbrt`
18×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
12×	`distribute-lft-out`
7×	`div-inv`
6×	`associate-/l*`
5×	`pow1` `cbrt-undiv` `div-exp` `associate-/r/`
3×	`expm1-log1p-u` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `frac-add` `prod-exp` `clear-num` `cbrt-unprod` `associate-/l/` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative`

Counts

3 → 149

Calls

3 calls:

7.0ms	(* y (/ z t))
6.0ms	(/ y (/ t b))
24.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

series140.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(* y (/ z t))
20.0ms	(/ y (/ t b))
102.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (/ y (/ t b))))

simplify89.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	719	1146
1	3135	1059
2	5001	1047

prune413.0ms

Filtered

158 candidates to 120 candidates (75.9%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	0	10	10
Picked	0	1	1
Done	1	0	1
Total	158	12	170

Merged error: 9.0b

Counts

170 → 12

regimes469.0ms

Accuracy

46.2% (3.7b remaining)

Error of 13.1b against oracle of 9.4b and baseline of 16.3b

bsearch204.0ms

Steps

Iters	Range	Point
7	4.698313270282065e-19	1.5405689304308365e-17	2.8039424862000647e-18
9	1.5031337866492669e-282	1.7631802656496682e-276	5.689228422624504e-280
8	-8.933617029826332e-24	-2.5775758114517625e-26	-3.2029953314514753e-26

Iters

Range

Point

4.698313270282065e-19

1.5405689304308365e-17

2.8039424862000647e-18

1.5031337866492669e-282

1.7631802656496682e-276

5.689228422624504e-280

-8.933617029826332e-24

-2.5775758114517625e-26

-3.2029953314514753e-26

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	48
1	52	48

end0.0ms

sample640.0ms

Algorithm

intervals

Results

364.0ms

8281×

body

valid