Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	274×	body	80	valid
0.0ms	2×	body	2560	valid

simplify86.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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))

rewrite22.0ms

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:

1.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
7.0ms	(* 60.0 (- x y))
10.0ms	(/ (* 60.0 (- x y)) (- z t))

series195.0ms

Counts

3 → 9

Calls

3 calls:

96.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
32.0ms	(* 60.0 (- x y))
67.0ms	(/ (* 60.0 (- x y)) (- z t))

simplify59.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (50.0ms)

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

prune224.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.0b	(/ (- z t) (- x y))
1.0b	(/ 60.0 (/ (- z t) (- x y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
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`
4×	`cbrt-undiv` `div-exp`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`div-sub` `fma-udef`

Counts

3 → 208

Calls

3 calls:

1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
9.0ms	(/ (- z t) (- x y))
16.0ms	(/ 60.0 (/ (- z t) (- x y)))

series443.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
56.0ms	(/ (- z t) (- x y))
288.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	676	1885
1	2984	1819
2	5001	1815

prune596.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
10×	`add-exp-log` `add-cbrt-cube`
7×	`add-cube-cbrt`
5×	`pow1` `times-frac` `associate-l` `associate-/r*`
4×	`associate-*l/`
3×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
2×	`cbrt-undiv` `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 → 65

Calls

3 calls:

1.0ms	(fma 120.0 a (/ (* (- x y) 60.0) (- z t)))
6.0ms	(* (- x y) 60.0)
13.0ms	(/ (* (- x y) 60.0) (- z t))

series196.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(fma 120.0 a (/ (* (- x y) 60.0) (- z t)))
37.0ms	(* (- x y) 60.0)
63.0ms	(/ (* (- x y) 60.0) (- z t))

simplify48.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	309	368
1	1319	318
2	5001	316

prune219.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
21×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-l` `associate-/r*`
4×	`flip3--` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `fma-udef`

Counts

3 → 97

Calls

3 calls:

6.0ms	(/ 60.0 (- z t))
1.0ms	(fma 120.0 a (* (- x y) (/ 60.0 (- z t))))
13.0ms	(* (- x y) (/ 60.0 (- z t)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 60.0 (- z t))
97.0ms	(fma 120.0 a (* (- x y) (/ 60.0 (- z t))))
68.0ms	(* (- x y) (/ 60.0 (- z t)))

simplify47.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	347	577
1	1486	527
2	5001	525

prune278.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes163.0ms

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	12	5

end0.0ms

sample580.0ms

Algorithm

intervals

Results

300.0ms	8502×	body	80	valid
8.0ms	46×	body	1280	valid
5.0ms	25×	body	2560	valid
4.0ms	33×	body	640	valid
2.0ms	18×	body	320	valid
0.0ms	7×	body	160	valid