Details

sample29.0ms

Algorithm

intervals

Results

10.0ms	237×	body	80	valid
2.0ms	14×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	12×	body	320	valid
1.0ms	11×	body	160	valid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (16.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	111	6
3	213	6
4	517	5
5	1051	5
6	2055	5
7	3280	5
8	5002	5

prune9.0ms

Filtered

1 candidates to 1 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: 10.3b

Counts

2 → 2

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- a t))
12.1b	(fma (/ y (- a t)) (- t z) (+ x y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

6.0ms	(/ y (- a t))
1.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/ y (- a t))
81.0ms	(fma (/ y (- a t)) (- t z) (+ x y))

simplify52.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	170	278
1	468	257
2	1400	257
3	5002	257

prune187.0ms

Filtered

55 candidates to 43 candidates (78.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	45	10	55
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	46	11	57

Merged error: 7.0b

Counts

57 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- a t))
0.2b	(* y (/ 1 (- a t)))
12.1b	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
32×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
16×	`add-exp-log`
10×	`add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-/r*`
4×	`div-exp` `prod-exp` `associate-/r/`
3×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `rec-exp` `flip3--` `1-exp` `flip--` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 99

Calls

3 calls:

6.0ms	(/ 1 (- a t))
12.0ms	(* y (/ 1 (- a t)))
1.0ms	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

series158.0ms

Counts

3 → 9

Calls

3 calls:

42.0ms	(/ 1 (- a t))
31.0ms	(* y (/ 1 (- a t)))
85.0ms	(fma (* y (/ 1 (- a t))) (- t z) (+ x y))

simplify90.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	288	510
1	1143	440
2	4305	394
3	5001	391

prune237.0ms

Filtered

108 candidates to 66 candidates (61.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	108	11	119

Merged error: 7.0b

Counts

119 → 11

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ y (- a t))
4.0b	(+ (* (/ y (- a t)) (- t z)) (+ x y))
10.0b	(* (/ y (- a t)) (- t z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
63×	`*-un-lft-identity`
47×	`add-cube-cbrt`
36×	`prod-diff`
31×	`times-frac`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
21×	`associate-l`
10×	`add-exp-log` `frac-add` `add-cbrt-cube`
8×	`flip3--` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`frac-times` `flip3-+` `associate-*r/` `flip-+`
5×	`pow1` `associate-r` `associate-/r*`
4×	`sub-neg` `associate-/r/`
3×	`expm1-log1p-u` `associate-l/` `sum-log` `log1p-expm1-u` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `frac-2neg` `pow-prod-down` `clear-num` `*-commutative`

Counts

3 → 157

Calls

3 calls:

6.0ms	(/ y (- a t))
16.0ms	(+ (* (/ y (- a t)) (- t z)) (+ x y))
18.0ms	(* (/ y (- a t)) (- t z))

series304.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ y (- a t))
109.0ms	(+ (* (/ y (- a t)) (- t z)) (+ x y))
164.0ms	(* (/ y (- a t)) (- t z))

simplify118.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	859	1392
1	4016	1146
2	5001	1146

prune475.0ms

Filtered

166 candidates to 120 candidates (72.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	157	9	166
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	161	16	177

Merged error: 6.9b

Counts

177 → 16

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- a t))
1.2b	(fma (- z) (/ y (- a t)) (+ x y))
4.0b	(+ (* (/ y (- a t)) t) (fma (- z) (/ y (- a t)) (+ x y)))
8.4b	(* (/ y (- a t)) t)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
38×	`*-un-lft-identity`
31×	`times-frac`
24×	`add-cube-cbrt`
21×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-/r/` `log1p-expm1-u`
3×	`associate-r` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `fma-udef` `div-inv` `unswap-sqr`
1×	`+-commutative` `associate-+r+` `fma-def` `frac-2neg` `flip3-+` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

4 → 106

Calls

4 calls:

6.0ms	(/ y (- a t))
1.0ms	(fma (- z) (/ y (- a t)) (+ x y))
12.0ms	(+ (* (/ y (- a t)) t) (fma (- z) (/ y (- a t)) (+ x y)))
10.0ms	(* (/ y (- a t)) t)

series253.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ y (- a t))
68.0ms	(fma (- z) (/ y (- a t)) (+ x y))
114.0ms	(+ (* (/ y (- a t)) t) (fma (- z) (/ y (- a t)) (+ x y)))
40.0ms	(* (/ y (- a t)) t)

simplify53.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	357	667
1	1296	622
2	5001	614

prune313.0ms

Filtered

118 candidates to 91 candidates (77.1%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	1	13	14
Picked	0	1	1
Done	0	1	1
Total	118	16	134

Merged error: 6.9b

Counts

134 → 16

regimes501.0ms

Accuracy

22.8% (4.3b remaining)

Error of 10.7b against oracle of 6.4b and baseline of 12.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	24
1	30	24

end0.0ms

sample769.0ms

Algorithm

intervals

Results

305.0ms	7330×	body	80	valid
66.0ms	446×	body	640	valid
50.0ms	417×	body	320	valid
46.0ms	230×	body	1280	valid
21.0ms	272×	body	160	valid
4.0ms	16×	body	2560	valid