Details

sample21.0ms

Algorithm

intervals

Results

9.0ms

339×

body

valid

simplify117.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 1 expressions with local error:

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify42.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1248	53
4	5003	53

prune38.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 2.2b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
6.9b	(* (- y x) (/ z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 56

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
16.0ms	(* (- y x) (/ z t))

series78.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(+ x (* (- y x) (/ z t)))
42.0ms	(* (- y x) (/ z t))

simplify43.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune141.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

series35.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

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

simplify43.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	69
1	86	62
2	257	53
3	1248	53
4	5003	53

prune35.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
3.1b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
4.0b	(* (cbrt (- y x)) (/ z t))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

116×	`cbrt-div`
84×	`frac-times`
58×	`flip3--` `flip--`
40×	`associate-*l/`
31×	`add-sqr-sqrt`
30×	`add-exp-log`
27×	`associate-*r/`
21×	`*-un-lft-identity`
18×	`pow1` `add-cbrt-cube`
17×	`cbrt-prod`
15×	`add-cube-cbrt` `prod-exp` `cbrt-unprod`
14×	`associate-r`
11×	`times-frac`
9×	`associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative`
1×	`div-inv`

Counts

4 → 160

Calls

4 calls:

2.0ms	(cbrt (- y x))
2.0ms	(cbrt (- y x))
44.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
16.0ms	(* (cbrt (- y x)) (/ z t))

series541.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (- y x))
152.0ms	(cbrt (- y x))
42.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))
192.0ms	(* (cbrt (- y x)) (/ z t))

simplify78.0ms

Algorithm

egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	817	2098
1	2698	1903
2	5003	1841

prune423.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes170.0ms

Accuracy

34.8% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample550.0ms

Algorithm

intervals

Results

285.0ms

10619×

body

valid