Details

sample31.0ms

Algorithm

intervals

Results

18.0ms	278×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

simplify76.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.6b

localize9.0ms

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))
0.7b	(/ (* 60.0 (- x y)) (- z t))

rewrite30.0ms

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)))
12.0ms	(* 60.0 (- x y))
15.0ms	(/ (* 60.0 (- x y)) (- z t))

series176.0ms

Counts

3 → 9

Calls

3 calls:

88.0ms	(fma 120.0 a (/ (* 60.0 (- x y)) (- z t)))
29.0ms	(* 60.0 (- x y))
59.0ms	(/ (* 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

prune212.0ms

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)))

rewrite45.0ms

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:

12.0ms	(/ (- x y) (- z t))
0.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
28.0ms	(* 60.0 (/ (- x y) (- z t)))

series197.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- x y) (- z t))
87.0ms	(fma 120.0 a (* 60.0 (/ (- x y) (- z t))))
62.0ms	(* 60.0 (/ (- x y) (- z t)))

simplify52.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (42.0ms)

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

prune316.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(* (cbrt (- x y)) (cbrt (- x y)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 109

Calls

4 calls:

2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
2.0ms	(cbrt (- x y))
23.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

series560.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt (- x y))
144.0ms	(cbrt (- x y))
148.0ms	(cbrt (- x y))
120.0ms	(* (cbrt (- x y)) (cbrt (- x y)))

simplify165.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	270	790
1	957	753
2	4645	700
3	5001	700

prune410.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
0.0b	(* 60.0 (- x y))
0.8b	(* (* 60.0 (- x y)) (/ 1 (- z t)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
37×	`add-cube-cbrt`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
20×	`add-cbrt-cube`
18×	`prod-diff`
13×	`prod-exp`
12×	`pow1`
11×	`distribute-rgt-in` `distribute-lft-in`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `associate-/r/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`frac-times` `sub-neg` `associate-l/` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `un-div-inv` `fma-udef` `inv-pow` `unswap-sqr`

Counts

4 → 151

Calls

4 calls:

6.0ms	(/ 1 (- z t))
0.0ms	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
12.0ms	(* 60.0 (- x y))
27.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 1 (- z t))
87.0ms	(fma 120.0 a (* (* 60.0 (- x y)) (/ 1 (- z t))))
28.0ms	(* 60.0 (- x y))
61.0ms	(* (* 60.0 (- x y)) (/ 1 (- z t)))

simplify80.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	550	1010
1	2780	771
2	5002	726

prune317.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes251.0ms

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

sample765.0ms

Algorithm

intervals

Results

480.0ms	8513×	body	80	valid
9.0ms	46×	body	1280	valid
8.0ms	52×	body	640	valid
6.0ms	29×	body	2560	valid
3.0ms	24×	body	320	valid
1.0ms	10×	body	160	valid