Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

331×

body

valid

simplify125.0ms

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: 1.6b

localize6.0ms

Local error

Found 1 expressions with local error:

1.5b	(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)

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify51.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (8.0ms)

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 (4 fresh and 1 done)

Merged error: 1.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- y x) (/ z t)) x)
7.4b	(* (- y x) (/ z t))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

7.0ms	(+ (* (- y x) (/ z t)) x)
17.0ms	(* (- y x) (/ z t))

series86.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* (- y x) (/ z t)) x)
45.0ms	(* (- y x) (/ z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	306	328
1	1261	304
2	5001	289

prune150.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

28.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
2.0ms	(cbrt (/ z t))
1.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series352.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
73.0ms	(cbrt (/ z t))
68.0ms	(cbrt (/ z t))
74.0ms	(cbrt (/ z t))

simplify99.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (89.0ms)

Iter	Nodes	Cost
0	351	805
1	953	733
2	3478	721
3	5001	697

prune397.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
2.0b	(* (- y x) (* (cbrt (/ z t)) (/ (cbrt z) (cbrt t))))
10.4b	(cbrt (/ z t))
10.4b	(cbrt (/ z t))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

29×	`cbrt-prod`
22×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`times-frac`
13×	`add-exp-log`
9×	`pow1` `frac-times` `add-cbrt-cube`
8×	`cbrt-div`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down`
2×	`div-inv`
1×	`cbrt-undiv` `div-exp` `associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 96

Calls

4 calls:

1.0ms	(cbrt t)
32.0ms	(* (- y x) (* (cbrt (/ z t)) (/ (cbrt z) (cbrt t))))
1.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series487.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(cbrt t)
138.0ms	(* (- y x) (* (cbrt (/ z t)) (/ (cbrt z) (cbrt t))))
75.0ms	(cbrt (/ z t))
71.0ms	(cbrt (/ z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	418	749
1	1377	670
2	5002	663

prune429.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes228.0ms

Accuracy

2% (2.0b remaining)

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

bsearch84.0ms

Steps

Iters	Range		Point
8	-3.058996228144634e-308	7.40523796490698e-305	1.6257691218099716e-308
9	-1.2338451977441667e-217	-3.431816103547695e-225	-8.642194578993728e-224

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	7
1	21	7

end0.0ms

sample532.0ms

Algorithm

intervals

Results

275.0ms

10577×

body

valid