Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

273×

body

valid

simplify29.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	4
1	46	4
2	88	4
3	138	4
4	188	4
5	236	4
6	260	4
7	263	4
8	263	4

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 6.8b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* z (- y t))
6.8b	(/ x (/ (* z (- y t)) 2.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

306×	`times-frac`
219×	`add-sqr-sqrt`
191×	`*-un-lft-identity`
163×	`add-cube-cbrt`
70×	`associate-r`
49×	`associate-/r*`
42×	`associate-l`
22×	`associate-/r/`
18×	`prod-diff`
17×	`associate-/l*`
14×	`*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
13×	`add-exp-log` `add-cbrt-cube`
11×	`distribute-rgt-in` `distribute-lft-in`
5×	`cbrt-undiv` `div-exp` `div-inv`
4×	`pow1` `associate-*r/`
2×	`expm1-log1p-u` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `clear-num` `flip--` `cbrt-unprod` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`pow-prod-down`

Counts

2 → 273

Calls

2 calls:

12.0ms	(* z (- y t))
22.0ms	(/ x (/ (* z (- y t)) 2.0))

series96.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(* z (- y t))
48.0ms	(/ x (/ (* z (- y t)) 2.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

279 → 279

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1159	2439
1	5002	2239

prune454.0ms

Filtered

279 candidates to 195 candidates (30.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	275	4	279
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	275	5	280

Merged error: 0b

Counts

280 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (- y t))
4.8b	(/ (/ x (- y t)) (/ z 2.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

696×	`times-frac`
390×	`add-sqr-sqrt` `*-un-lft-identity`
296×	`add-cube-cbrt`
47×	`distribute-lft-out--` `difference-of-squares`
39×	`associate-/r/`
38×	`div-inv`
30×	`associate-/l*`
26×	`associate-/r*`
16×	`add-exp-log` `add-cbrt-cube`
15×	`flip3--` `flip--`
11×	`associate-/l/`
9×	`cbrt-undiv` `div-exp`
4×	`frac-2neg` `clear-num`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`

Counts

2 → 386

Calls

2 calls:

6.0ms	(/ x (- y t))
21.0ms	(/ (/ x (- y t)) (/ z 2.0))

series128.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x (- y t))
89.0ms	(/ (/ x (- y t)) (/ z 2.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

392 → 392

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	1811	4267
1	5001	4161

prune933.0ms

Filtered

392 candidates to 289 candidates (26.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	392	0	392
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	392	5	397

Merged error: 0b

Counts

397 → 5

localize7.0ms

Local error

Found 1 expressions with local error:

5.7b	(/ (/ x z) (/ (- y t) 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

637×	`times-frac`
357×	`add-sqr-sqrt` `*-un-lft-identity`
271×	`add-cube-cbrt`
43×	`distribute-lft-out--` `difference-of-squares`
35×	`div-inv`
25×	`associate-/r*`
21×	`associate-/l*`
13×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
11×	`associate-/l/`
8×	`cbrt-undiv` `div-exp`
3×	`frac-2neg` `clear-num`
1×	`pow1` `expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`

Counts

1 → 321

Calls

1 calls:

18.0ms

(/ (/ x z) (/ (- y t) 2.0))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(/ (/ x z) (/ (- y t) 2.0))

simplify92.0ms

Algorithm

egg-herbie

Counts

324 → 324

Iterations

Useful iterations: 1 (45.0ms)

Iter	Nodes	Cost
0	1650	3730
1	5001	3639

prune579.0ms

Filtered

324 candidates to 234 candidates (27.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	322	2	324
Fresh	2	0	2
Picked	0	1	1
Done	0	2	2
Total	324	5	329

Merged error: 0b

Counts

329 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ 1 (* (/ (- y t) 2.0) (/ z x)))
5.8b	(* (/ (- y t) 2.0) (/ z x))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

354×	`add-sqr-sqrt`
296×	`*-un-lft-identity`
263×	`times-frac`
234×	`frac-times`
224×	`add-cube-cbrt`
189×	`associate-/l*`
185×	`associate-/r*`
141×	`associate-/r/`
95×	`associate-l`
65×	`associate-r`
58×	`add-exp-log`
51×	`clear-num`
49×	`frac-2neg`
40×	`associate-/l/`
35×	`distribute-lft-out--` `difference-of-squares`
32×	`add-cbrt-cube`
26×	`div-exp` `associate-*l/`
20×	`flip3--` `flip--` `unswap-sqr`
18×	`associate-*r/`
16×	`prod-exp`
13×	`cbrt-undiv`
11×	`div-inv`
8×	`cbrt-unprod`
7×	`pow1`
5×	`rec-exp` `1-exp` `*-commutative`
4×	`un-div-inv`
2×	`expm1-log1p-u` `pow-flip` `pow-prod-down` `log1p-expm1-u` `add-log-exp`
1×	`inv-pow`

Counts

2 → 539

Calls

2 calls:

39.0ms	(/ 1 (* (/ (- y t) 2.0) (/ z x)))
20.0ms	(* (/ (- y t) 2.0) (/ z x))

series191.0ms

Counts

2 → 6

Calls

2 calls:

125.0ms	(/ 1 (* (/ (- y t) 2.0) (/ z x)))
65.0ms	(* (/ (- y t) 2.0) (/ z x))

simplify98.0ms

Algorithm

egg-herbie

Counts

545 → 545

Iterations

Useful iterations: 1 (51.0ms)

Iter	Nodes	Cost
0	1927	4125
1	5001	3957

prune695.0ms

Filtered

545 candidates to 329 candidates (39.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	544	1	545
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	546	4	550

Merged error: 0b

Counts

550 → 4

regimes108.0ms

Accuracy

59.3% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.6b

bsearch71.0ms

Steps

Iters	Range		Point
7	4.3601162079471817e-69	4.958097414009365e-67	4.2497445702391346e-67
10	-2.504245507287587e+31	-1.812800334173352e+17	-9.62151154290069e+22

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	12
1	22	12

end0.0ms

sample471.0ms

Algorithm

intervals

Results

256.0ms

8678×

body

valid