Details

sample33.0ms

Algorithm

intervals

Results

14.0ms

270×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
3.2b	(* y (/ (- z t) (- a t)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `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 → 113

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- a t))))
13.0ms	(/ (- z t) (- a t))
24.0ms	(* y (/ (- z t) (- a t)))

series181.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (* y (/ (- z t) (- a t))))
48.0ms	(/ (- z t) (- a t))
60.0ms	(* y (/ (- z t) (- a t)))

simplify45.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	421	747
1	1657	704
2	5001	704

prune257.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod`
16×	`add-sqr-sqrt` `*-un-lft-identity`
8×	`add-cube-cbrt` `cbrt-div`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt (- a t))
5.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))

series582.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(cbrt (- a t))
151.0ms	(cbrt (- z t))
147.0ms	(cbrt (- z t))
141.0ms	(cbrt (- z t))

simplify159.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 4 (153.0ms)

Iter	Nodes	Cost
0	229	428
1	487	408
2	1319	396
3	4622	372
4	5001	364

prune288.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b	(/ (- a t) (- z t))
0.2b	(/ 1 (/ (- a t) (- z t)))
3.2b	(* y (/ 1 (/ (- a t) (- z t))))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
11.0ms	(/ (- a t) (- z t))
17.0ms	(/ 1 (/ (- a t) (- z t)))
51.0ms	(* y (/ 1 (/ (- a t) (- z t))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(+ x (* y (/ 1 (/ (- a t) (- z t)))))
50.0ms	(/ (- a t) (- z t))
129.0ms	(/ 1 (/ (- a t) (- z t)))
146.0ms	(* y (/ 1 (/ (- a t) (- z t))))

simplify113.0ms

Algorithm

egg-herbie

Counts

350 → 350

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	950	2838
1	4759	2549
2	5001	2263

prune632.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ y (/ (- a t) (- z t))))
0.0b	(/ (- a t) (- z t))
3.2b	(/ y (/ (- a t) (- z t)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
197×	`*-un-lft-identity`
195×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
10×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`pow1`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `flip3-+` `div-sub` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 206

Calls

3 calls:

45.0ms	(+ x (/ y (/ (- a t) (- z t))))
10.0ms	(/ (- a t) (- z t))
20.0ms	(/ y (/ (- a t) (- z t)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

120.0ms	(+ x (/ y (/ (- a t) (- z t))))
49.0ms	(/ (- a t) (- z t))
143.0ms	(/ y (/ (- a t) (- z t)))

simplify74.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	697	1888
1	3051	1835
2	5002	1832

prune511.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes202.0ms

Accuracy

54.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.3b

bsearch79.0ms

Steps

Iters	Range		Point
9	1.4466336082644377e-172	2.0721547055092453e-164	3.45403338259661e-167
8	-4.698720960877704e-64	-1.9860766759025128e-67	-7.041414941258955e-65

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	11
1	30	11

end0.0ms

sample552.0ms

Algorithm

intervals

Results

279.0ms	8730×	body	80	valid
0.0ms	1×	body	640	valid

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5

Iter	Nodes	Cost
0	20	5
1	34	5
2	55	5
3	93	5
4	149	5
5	184	5
6	202	5
7	229	5
8	280	5
9	372	5
10	465	5
11	768	5
12	876	5
13	878	5
14	878	5