Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

337×

body

valid

simplify111.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

2.1b	(fma (/ y t) (- z x) x)

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:

0.0ms

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

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

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

simplify41.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune38.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ y t) (- z x)) x)
9.7b	(* (/ y t) (- z x))

rewrite33.0ms

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:

12.0ms	(+ (* (/ y t) (- z x)) x)
16.0ms	(* (/ y t) (- z x))

series87.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ y t) (- z x)) x)
52.0ms	(* (/ y t) (- z x))

simplify49.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	468	779
1	1870	547
2	5001	533

prune247.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
3.3b	(* (/ y (cbrt t)) (- z x))
3.7b	(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
68×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
58×	`add-cube-cbrt`
55×	`distribute-rgt-in` `distribute-lft-in`
54×	`prod-diff`
46×	`prod-exp`
35×	`add-cbrt-cube`
29×	`associate-l`
23×	`times-frac`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv`
6×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate-r` `flip--`
4×	`expm1-log1p-u` `pow-prod-down` `associate-*l/` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 203

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
19.0ms	(* (/ y (cbrt t)) (- z x))
49.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))

series655.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(cbrt t)
185.0ms	(cbrt t)
190.0ms	(* (/ y (cbrt t)) (- z x))
85.0ms	(* (/ 1 (* (cbrt t) (cbrt t))) (* (/ y (cbrt t)) (- z x)))

simplify152.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 1 (32.0ms)

Iter	Nodes	Cost
0	1035	2633
1	4796	1665
2	5001	1665

prune416.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
3.3b	(* (/ y (cbrt t)) (- z x))
3.7b	(/ (* (/ y (cbrt t)) (- z x)) (* (cbrt t) (cbrt t)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`add-cube-cbrt`
30×	`add-exp-log`
22×	`associate-l`
21×	`times-frac` `add-cbrt-cube`
18×	`prod-diff`
16×	`cbrt-prod`
11×	`distribute-rgt-in` `distribute-lft-in`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`pow1`
5×	`associate-r` `associate-/l/`
4×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*r/` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`sub-neg` `pow1/3` `associate-*l/` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 130

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
22.0ms	(* (/ y (cbrt t)) (- z x))
15.0ms	(/ (* (/ y (cbrt t)) (- z x)) (* (cbrt t) (cbrt t)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt t)
180.0ms	(cbrt t)
186.0ms	(* (/ y (cbrt t)) (- z x))
90.0ms	(/ (* (/ y (cbrt t)) (- z x)) (* (cbrt t) (cbrt t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	619	1123
1	3001	870
2	5001	820

prune366.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes137.0ms

Accuracy

-3.4% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.0b

bsearch59.0ms

Steps

Iters	Range		Point
9	1.9426594712364374e-87	1.5885650259143204e-81	5.693766957849294e-84
6	9.945522318963277e-301	7.498648071786797e-300	1.4549468370532664e-300

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample683.0ms

Algorithm

intervals

Results

423.0ms

10603×

body

valid