Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

284×

body

valid

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	37	4
2	60	4
3	104	4
4	174	4
5	237	4
6	266	4
7	312	4
8	375	4
9	507	4
10	666	4
11	1117	4
12	1341	4
13	1513	4
14	1535	4
15	1535	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.1b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`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×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
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 → 122

Calls

3 calls:

2.0ms	(+ x (* y (/ (- z t) (- z a))))
12.0ms	(/ (- z t) (- z a))
24.0ms	(* y (/ (- z t) (- z a)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

74.0ms	(+ x (* y (/ (- z t) (- z a))))
40.0ms	(/ (- z t) (- z a))
63.0ms	(* y (/ (- z t) (- z a)))

simplify54.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	435	776
1	1703	730
2	5001	730

prune319.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z a))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))

rewrite10.0ms

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` `expm1-log1p-u` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

4 → 68

Calls

4 calls:

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

series591.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt (- z a))
147.0ms	(cbrt (- z t))
147.0ms	(cbrt (- z t))
148.0ms	(cbrt (- z t))

simplify62.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	255	452
1	569	432
2	1542	420
3	5001	392

prune348.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
3.2b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
337×	`add-sqr-sqrt`
325×	`*-un-lft-identity`
159×	`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×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u`
3×	`fma-def` `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 → 349

Calls

4 calls:

2.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
12.0ms	(/ (- z a) (- z t))
17.0ms	(/ 1 (/ (- z a) (- z t)))
51.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series343.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
43.0ms	(/ (- z a) (- z t))
97.0ms	(/ 1 (/ (- z a) (- z t)))
122.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify111.0ms

Algorithm

egg-herbie

Counts

361 → 361

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	970	2876
1	4831	2583
2	5001	2583

prune812.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
4.5b	(cbrt (/ (- z a) (- z t)))
4.5b	(cbrt (/ (- z a) (- z t)))
4.5b	(cbrt (/ (- z a) (- z t)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 284

Calls

4 calls:

68.0ms	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
5.0ms	(cbrt (/ (- z a) (- z t)))
6.0ms	(cbrt (/ (- z a) (- z t)))
6.0ms	(cbrt (/ (- z a) (- z t)))

series547.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (/ (- z a) (- z t))) (cbrt (/ (- z a) (- z t))))
128.0ms	(cbrt (/ (- z a) (- z t)))
131.0ms	(cbrt (/ (- z a) (- z t)))
129.0ms	(cbrt (/ (- z a) (- z t)))

simplify119.0ms

Algorithm

egg-herbie

Counts

296 → 296

Iterations

Useful iterations: 3 (87.0ms)

Iter	Nodes	Cost
0	389	3521
1	1217	3455
2	4362	3268
3	5001	3262

prune991.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

end0.0ms

sample517.0ms

Algorithm

intervals

Results

263.0ms	8735×	body	80	valid
0.0ms	2×	body	1280	valid