Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

330×

body

valid

simplify103.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	3
1	33	3
2	63	3
3	107	3
4	148	3
5	181	3
6	220	3
7	307	3
8	587	3
9	1181	3
10	2314	3
11	3738	3
12	5001	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.2b	(* (/ x y) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `prod-diff`
34×	`add-cube-cbrt`
22×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in`
13×	`associate-l`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `sub-neg` `add-log-exp`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `fma-def` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 98

Calls

2 calls:

9.0ms	(+ (* (/ x y) (- z t)) t)
9.0ms	(* (/ x y) (- z t))

series87.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ (* (/ x y) (- z t)) t)
51.0ms	(* (/ x y) (- z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	468	779
1	1866	547
2	5001	533

prune217.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
44×	`distribute-rgt-in` `distribute-lft-in`
39×	`add-cbrt-cube`
37×	`prod-exp` `cbrt-unprod`
36×	`prod-diff`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
17×	`cbrt-undiv` `div-exp`
9×	`pow1` `cbrt-prod` `frac-times` `associate-*r/`
5×	`associate-l`
4×	`expm1-log1p-u` `sub-neg` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`times-frac` `associate-r` `*-commutative` `div-inv`

Counts

4 → 142

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
20.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series633.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt y)
179.0ms	(cbrt y)
175.0ms	(cbrt y)
56.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify99.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	937	2716
1	4740	1440
2	5001	1408

prune341.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

7.2b	(* (/ x y) (- z t))
8.7b	(cbrt (* (/ x y) (- z t)))
8.7b	(cbrt (* (/ x y) (- z t)))
8.7b	(cbrt (* (/ x y) (- z t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt`
18×	`prod-diff`
15×	`cbrt-div`
13×	`associate-l`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `flip3--` `associate-*r/` `flip--`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
2×	`sub-neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 110

Calls

4 calls:

10.0ms	(* (/ x y) (- z t))
6.0ms	(cbrt (* (/ x y) (- z t)))
6.0ms	(cbrt (* (/ x y) (- z t)))
6.0ms	(cbrt (* (/ x y) (- z t)))

series419.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (/ x y) (- z t))
121.0ms	(cbrt (* (/ x y) (- z t)))
119.0ms	(cbrt (* (/ x y) (- z t)))
125.0ms	(cbrt (* (/ x y) (- z t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	465	940
1	1721	759
2	5001	741

prune352.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) x)
0.0b	(+ (pow (/ (* (- z t) x) y) 1) t)
5.6b	(/ (* (- z t) x) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
11×	`fma-def`
10×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
7×	`unpow-prod-down`
6×	`times-frac`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `associate-r` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

3 → 74

Calls

3 calls:

6.0ms	(* (- z t) x)
7.0ms	(+ (pow (/ (* (- z t) x) y) 1) t)
7.0ms	(/ (* (- z t) x) y)

series106.0ms

Counts

3 → 9

Calls

3 calls:

28.0ms	(* (- z t) x)
36.0ms	(+ (pow (/ (* (- z t) x) y) 1) t)
41.0ms	(/ (* (- z t) x) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	298	351
1	1211	298
2	5001	287

prune230.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes122.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample643.0ms

Algorithm

intervals

Results

336.0ms

10699×

body

valid