Details

sample24.0ms

Algorithm

intervals

Results

8.0ms	247×	body	80	valid
2.0ms	12×	body	1280	valid
1.0ms	11×	body	640	valid
1.0ms	8×	body	320	valid
0.0ms	5×	body	160	valid

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
1.7b	(- (+ x y) (/ (* (- z t) y) (- a t)))
13.8b	(/ (* (- z t) y) (- a t))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

10.0ms	(* (- z t) y)
29.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
10.0ms	(/ (* (- z t) y) (- a t))

series208.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) y)
118.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
62.0ms	(/ (* (- z t) y) (- a t))

simplify49.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune202.0ms

Filtered

79 candidates to 56 candidates (70.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.2b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a t) y)
2.4b	(- (+ x y) (/ (- z t) (/ (- a t) y)))
8.9b	(/ (- z t) (/ (- a t) y))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
180×	`add-sqr-sqrt`
176×	`*-un-lft-identity`
87×	`add-cube-cbrt`
45×	`difference-of-squares`
44×	`distribute-lft-out--`
22×	`associate-/r*`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
8×	`div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `flip3--` `div-sub` `flip--`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `associate-/r/` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 197

Calls

3 calls:

7.0ms	(/ (- a t) y)
60.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
15.0ms	(/ (- z t) (/ (- a t) y))

series249.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(/ (- a t) y)
114.0ms	(- (+ x y) (/ (- z t) (/ (- a t) y)))
108.0ms	(/ (- z t) (/ (- a t) y))

simplify85.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	853	1851
1	3326	1798
2	5001	1798

prune514.0ms

Filtered

206 candidates to 138 candidates (67.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.1b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
3.4b	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (- a t)) (* y (cbrt (- z t))))
5.6b	(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (- a t)) (* y (cbrt (- z t)))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
18×	`associate-*r/` `add-cbrt-cube`
16×	`cbrt-div`
14×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`associate-l` `prod-exp` `cbrt-unprod`
10×	`cbrt-prod` `flip3--` `frac-sub` `flip--`
9×	`pow1` `add-log-exp`
8×	`add-cube-cbrt`
6×	`frac-times`
5×	`flip3-+` `times-frac` `flip-+`
4×	`cbrt-undiv` `div-exp`
3×	`pow-prod-down` `associate-*l/` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `diff-log` `associate-/r/`
1×	`sub-neg` `associate-r` `associate--l+` `sum-log` `*-commutative` `div-inv`

Counts

4 → 93

Calls

4 calls:

2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
48.0ms	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (- a t)) (* y (cbrt (- z t))))
24.0ms	(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (- a t)) (* y (cbrt (- z t)))))

series532.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(cbrt (- z t))
155.0ms	(cbrt (- z t))
102.0ms	(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (- a t)) (* y (cbrt (- z t))))
117.0ms	(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (- a t)) (* y (cbrt (- z t)))))

simplify76.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	621	1356
1	2437	1220
2	5001	1161

prune360.0ms

Filtered

105 candidates to 80 candidates (76.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 2.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z t) (- a t))
2.4b	(- (+ x y) (/ (/ (- z t) (- a t)) (/ 1 y)))
2.8b	(/ (/ (- z t) (- a t)) (/ 1 y))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

1079×	`times-frac`
722×	`add-sqr-sqrt`
704×	`*-un-lft-identity`
393×	`add-cube-cbrt`
159×	`difference-of-squares`
154×	`distribute-lft-out--`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
27×	`add-exp-log`
18×	`associate-/r*`
17×	`flip3--` `div-exp` `add-cbrt-cube` `flip--`
9×	`cbrt-undiv`
8×	`add-log-exp`
5×	`div-sub`
3×	`pow1` `associate-/l/`
2×	`rec-exp` `frac-2neg` `diff-log` `1-exp` `clear-num` `frac-sub`
1×	`sub-neg` `flip3-+` `associate--l+` `sum-log` `flip-+` `distribute-lft-out` `associate--r-`

Counts

3 → 550

Calls

3 calls:

11.0ms	(/ (- z t) (- a t))
153.0ms	(- (+ x y) (/ (/ (- z t) (- a t)) (/ 1 y)))
32.0ms	(/ (/ (- z t) (- a t)) (/ 1 y))

series278.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- z t) (- a t))
117.0ms	(- (+ x y) (/ (/ (- z t) (- a t)) (/ 1 y)))
107.0ms	(/ (/ (- z t) (- a t)) (/ 1 y))

simplify115.0ms

Algorithm

egg-herbie

Counts

559 → 559

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	2258	7333
1	5001	6829

prune1.3s

Filtered

559 candidates to 267 candidates (47.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.9b

regimes242.0ms

Accuracy

9.9% (3.2b remaining)

Error of 7.0b against oracle of 3.8b and baseline of 7.3b

bsearch61.0ms

Steps

Iters	Range		Point
4	1.0580721849033993e-246	1.6979781701576933e-246	1.5391631179144392e-246
8	-1.5114205842447585e-95	-1.7858658813908628e-99	-6.636786639947611e-99

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

end0.0ms

sample626.0ms

Algorithm

intervals

Results

234.0ms	7394×	body	80	valid
51.0ms	454×	body	640	valid
35.0ms	225×	body	1280	valid
32.0ms	378×	body	320	valid
15.0ms	250×	body	160	valid
4.0ms	22×	body	2560	valid