Details

sample36.0ms

Algorithm

intervals

Results

19.0ms	272×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid

simplify80.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	22	6
1	39	5
2	67	5
3	119	5
4	185	5
5	252	5
6	313	5
7	399	5
8	562	5
9	721	5
10	1148	5
11	1303	5
12	1450	5
13	1454	5
14	1454	5

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.0b	(* 60.0 (- x y))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
11.0ms	(* 60.0 (- x y))
13.0ms	(/ (* 60.0 (- x y)) (- z t))

series59.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
5.0ms	(* 60.0 (- x y))
18.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	390	631
1	1733	455
2	5002	453

prune607.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
0.0b	(/ (- x y) (- z t))
0.3b	(* 60.0 (/ (- x y) (- z t)))

rewrite44.0ms

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`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`frac-2neg` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 116

Calls

3 calls:

0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
12.0ms	(/ (- x y) (- z t))
25.0ms	(* 60.0 (/ (- x y) (- z t)))

series66.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
15.0ms	(/ (- x y) (- z t))
18.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	395	752
1	1536	698
2	5001	696

prune919.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- z t))
0.0b	(- (/ x (- z t)) (/ y (- z t)))
0.0b	(fma 120.0 a (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
0.3b	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

rewrite500.0ms

Algorithm

rewrite-expression-head

Rules

1985×	`*-un-lft-identity`
1967×	`add-sqr-sqrt`
1956×	`times-frac`
1323×	`prod-diff`
1163×	`add-cube-cbrt`
443×	`distribute-rgt-in` `distribute-lft-in`
409×	`distribute-lft-out--`
397×	`difference-of-squares`
264×	`associate-/r/`
134×	`flip3--` `flip--`
132×	`div-inv`
21×	`fma-neg`
18×	`associate-r`
8×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u`
3×	`sub-neg` `associate-l` `associate-/l*`
2×	`frac-sub` `sub-div`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

4 → 1467

Calls

4 calls:

5.0ms	(/ y (- z t))
72.0ms	(- (/ x (- z t)) (/ y (- z t)))
0.0ms	(fma 120.0 a (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
235.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

series109.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ y (- z t))
26.0ms	(- (/ x (- z t)) (/ y (- z t)))
43.0ms	(fma 120.0 a (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
32.0ms	(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

simplify408.0ms

Algorithm

egg-herbie

Counts

1479 → 1479

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2023	47385
1	5001	38449

prune10.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.0b	(* 60.0 (- x y))
0.2b	(/ (* 60.0 (- x y)) (- z t))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `times-frac` `associate-r` `associate-/r*`
4×	`associate-*r/`
3×	`expm1-log1p-u` `flip3--` `associate-l` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `sub-neg` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `fma-udef` `div-inv` `associate-/l` `unswap-sqr`

Counts

3 → 87

Calls

3 calls:

0.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
11.0ms	(* 60.0 (- x y))
13.0ms	(/ (* 60.0 (- x y)) (- z t))

series57.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
5.0ms	(* 60.0 (- x y))
20.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	390	631
1	1733	455
2	5002	453

prune589.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes809.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

end0.0ms

sample900.0ms

Algorithm

intervals

Results

595.0ms	8491×	body	80	valid
13.0ms	39×	body	1280	valid
11.0ms	28×	body	2560	valid
11.0ms	33×	body	640	valid
4.0ms	19×	body	320	valid
2.0ms	15×	body	160	valid