Details

sample23.0ms

Algorithm

intervals

Results

9.0ms	277×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid

simplify87.0ms

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

prune6.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 60.0 (- x y))
0.0b	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
0.7b	(/ (* 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:

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

series185.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* 60.0 (- x y))
88.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
64.0ms	(/ (* 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

prune218.0ms

Filtered

96 candidates to 58 candidates (60.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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:

9.0ms	(/ (- x y) (- z t))
1.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
15.0ms	(* 60.0 (/ (- x y) (- z t)))

series211.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(/ (- x y) (- z t))
92.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
65.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (45.0ms)

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

prune325.0ms

Filtered

125 candidates to 86 candidates (68.8%)

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	(/ (- z t) (- x y))
0.0b	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
0.6b	(/ 60.0 (/ (- z t) (- x y)))

rewrite34.0ms

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:

9.0ms	(/ (- z t) (- x y))
1.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
12.0ms	(/ 60.0 (/ (- z t) (- x y)))

series431.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- z t) (- x y))
95.0ms	(fma 120.0 a (/ 60.0 (/ (- z t) (- x y))))
282.0ms	(/ 60.0 (/ (- z t) (- x y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 2 (65.0ms)

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

prune586.0ms

Filtered

217 candidates to 149 candidates (68.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 120.0 a (* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t)))
2.5b	(- (* z z) (* t t))
13.5b	(/ (* 60.0 (- x y)) (- (* z z) (* t t)))
17.0b	(* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

1.0ms	(fma 120.0 a (* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t)))
4.0ms	(- (* z z) (* t t))
11.0ms	(/ (* 60.0 (- x y)) (- (* z z) (* t t)))
15.0ms	(* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t))

series473.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(fma 120.0 a (* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t)))
34.0ms	(- (* z z) (* t t))
81.0ms	(/ (* 60.0 (- x y)) (- (* z z) (* t t)))
134.0ms	(* (/ (* 60.0 (- x y)) (- (* z z) (* t t))) (+ z t))

simplify81.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	543	910
1	2867	769
2	5002	762

prune319.0ms

Filtered

107 candidates to 81 candidates (75.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes210.0ms

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	13	5
1	13	5

end0.0ms

sample584.0ms

Algorithm

intervals

Results

296.0ms	8540×	body	80	valid
8.0ms	39×	body	640	valid
7.0ms	44×	body	1280	valid
5.0ms	24×	body	2560	valid
2.0ms	17×	body	320	valid
1.0ms	12×	body	160	valid