Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

360×

body

valid

simplify118.0ms

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.3b

localize10.0ms

Local error

Found 1 expressions with local error:

1.3b	(fma (/ x y) (- z t) t)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma (/ x y) (- z t) t)

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(fma (/ x y) (- z t) t)

simplify45.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	41	69
1	91	62
2	268	53
3	1261	53
4	5002	53

prune39.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 1.3b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
4.3b	(* (/ x y) (- z t))

rewrite25.0ms

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:

10.0ms	(+ (* (/ x y) (- z t)) t)
10.0ms	(* (/ x y) (- z t))

series90.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ x y) (- z t)) t)
56.0ms	(* (/ x y) (- z t))

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (49.0ms)

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

prune248.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.0b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite35.0ms

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 x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
23.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series622.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
187.0ms	(cbrt x)
184.0ms	(cbrt x)
59.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify109.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (92.0ms)

Iter	Nodes	Cost
0	937	2716
1	4698	1450
2	5001	1418

prune359.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (/ (cbrt x) (cbrt y)) 3)
0.6b	(pow (/ (cbrt x) (cbrt y)) 3)
0.7b	(* (pow (/ (cbrt x) (cbrt y)) 3) (fma (- t) 1 t))
4.3b	(* (pow (/ (cbrt x) (cbrt y)) 3) (- z t))

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

304×	`cbrt-prod` `times-frac`
286×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
222×	`add-cube-cbrt`
172×	`associate-l`
170×	`unpow-prod-down` `cube-prod`
26×	`add-exp-log`
24×	`unswap-sqr`
18×	`prod-diff`
12×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`associate-r` `pow-exp` `prod-exp` `div-inv`
6×	`pow1` `cube-div` `pow-unpow` `sqr-pow`
4×	`expm1-log1p-u` `cube-mult` `pow-to-exp` `unpow3` `div-exp` `log1p-expm1-u` `add-log-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `frac-times` `sub-neg` `flip3--` `pow-pow` `associate-r/` `associate-l/` `*-commutative` `flip--` `cbrt-unprod` `fma-udef`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 468

Calls

4 calls:

10.0ms	(pow (/ (cbrt x) (cbrt y)) 3)
9.0ms	(pow (/ (cbrt x) (cbrt y)) 3)
26.0ms	(* (pow (/ (cbrt x) (cbrt y)) 3) (fma (- t) 1 t))
28.0ms	(* (pow (/ (cbrt x) (cbrt y)) 3) (- z t))

series1.7s

Counts

4 → 12

Calls

4 calls:

80.0ms	(pow (/ (cbrt x) (cbrt y)) 3)
81.0ms	(pow (/ (cbrt x) (cbrt y)) 3)
1.5s	(* (pow (/ (cbrt x) (cbrt y)) 3) (fma (- t) 1 t))
52.0ms	(* (pow (/ (cbrt x) (cbrt y)) 3) (- z t))

simplify62.0ms

Algorithm

egg-herbie

Counts

480 → 480

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	995	4616
1	5001	3267

prune1.2s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes202.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample549.0ms

Algorithm

intervals

Results

285.0ms

10748×

body

valid