Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	239×	body	80	valid
2.0ms	20×	body	640	valid
1.0ms	13×	body	320	valid
1.0ms	7×	body	1280	valid
0.0ms	5×	body	160	valid
0.0ms	1×	body	2560	valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	111	6
3	288	6
4	714	6
5	1493	6
6	3393	6
7	5002	6

prune2.0ms

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: 25.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y x) (- z t))
1.6b	(+ x (/ (* (- y x) (- z t)) (- a t)))
18.2b	(/ (* (- y x) (- z t)) (- a t))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

9.0ms	(* (- y x) (- z t))
7.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms	(/ (* (- y x) (- z t)) (- a t))

series295.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(* (- y x) (- z t))
150.0ms	(+ x (/ (* (- y x) (- z t)) (- a t)))
108.0ms	(/ (* (- y x) (- z t)) (- a t))

simplify57.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	468	583
1	2162	534
2	5003	534

prune256.0ms

Filtered

90 candidates to 67 candidates (74.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	10	91

Merged error: 3.4b

Counts

91 → 10

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) (- z t))
1.6b	(+ x (/ (- y x) (/ (- a t) (- z t))))
1.9b	(/ (- y x) (/ (- a t) (- z t)))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

330×	`times-frac`
323×	`*-un-lft-identity`
321×	`add-sqr-sqrt`
113×	`add-cube-cbrt`
104×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
15×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`flip3--` `flip--`
8×	`div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `div-sub`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 274

Calls

3 calls:

10.0ms	(/ (- a t) (- z t))
40.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
16.0ms	(/ (- y x) (/ (- a t) (- z t)))

series396.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a t) (- z t))
151.0ms	(+ x (/ (- y x) (/ (- a t) (- z t))))
197.0ms	(/ (- y x) (/ (- a t) (- z t)))

simplify106.0ms

Algorithm

egg-herbie

Counts

283 → 283

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1030	3053
1	4263	2984
2	5003	2984

prune532.0ms

Filtered

283 candidates to 172 candidates (60.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	277	6	283
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	281	12	293

Merged error: 3.4b

Counts

293 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
1.6b	(+ x (* (- y x) (/ (- z t) (- a t))))
1.8b	(* (- y x) (/ (- z t) (- a t)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-l` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`associate-/r/`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 119

Calls

3 calls:

8.0ms	(/ (- z t) (- a t))
3.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
17.0ms	(* (- y x) (/ (- z t) (- a t)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- z t) (- a t))
145.0ms	(+ x (* (- y x) (/ (- z t) (- a t))))
110.0ms	(* (- y x) (/ (- z t) (- a t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	476	869
1	2018	820
2	5001	820

prune239.0ms

Filtered

128 candidates to 85 candidates (66.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	128	12	140

Merged error: 3.4b

Counts

140 → 12

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- y x) (- a t))
2.1b	(+ x (* (/ (- y x) (- a t)) (- z t)))
6.2b	(* (/ (- y x) (- a t)) (- z t))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
27×	`add-cube-cbrt`
23×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-r` `associate-/r` `flip--` `associate-/l` `add-log-exp`
4×	`distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `associate-/r/`
2×	`cbrt-undiv` `frac-times` `associate-*r/` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 127

Calls

3 calls:

8.0ms	(/ (- y x) (- a t))
4.0ms	(+ x (* (/ (- y x) (- a t)) (- z t)))
19.0ms	(* (/ (- y x) (- a t)) (- z t))

series380.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(/ (- y x) (- a t))
145.0ms	(+ x (* (/ (- y x) (- a t)) (- z t)))
188.0ms	(* (/ (- y x) (- a t)) (- z t))

simplify54.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	525	940
1	1916	890
2	5001	890

prune225.0ms

Filtered

136 candidates to 90 candidates (66.2%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	136	12	148

Merged error: 3.4b

Counts

148 → 12

regimes245.0ms

Accuracy

14.2% (6.2b remaining)

Error of 10.1b against oracle of 3.9b and baseline of 11.1b

bsearch86.0ms

Steps

Iters	Range		Point
10	2.6015302931465497e-186	6.350574364807517e-175	1.6088497186942395e-183
7	-1.1806457414110754e-85	-7.109156180311629e-88	-7.254871104662085e-88

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	12
1	30	12

end0.0ms

sample663.0ms

Algorithm

intervals

Results

254.0ms	7874×	body	80	valid
52.0ms	460×	body	640	valid
36.0ms	379×	body	320	valid
36.0ms	247×	body	1280	valid
15.0ms	260×	body	160	valid
3.0ms	16×	body	2560	valid