Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

337×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	58	4
3	96	4
4	131	4
5	155	4
6	179	4
7	310	4
8	643	4
9	1171	4
10	2482	4
11	3774	4
12	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 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)))
5.9b	(* (- y x) (/ z t))

rewrite40.0ms

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×	`frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `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 → 49

Calls

2 calls:

7.0ms	(+ x (* (- y x) (/ z t)))
31.0ms	(* (- y x) (/ z t))

series89.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ x (* (- y x) (/ z t)))
46.0ms	(* (- y x) (/ z t))

simplify38.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	296	310
1	1245	287
2	5001	275

prune117.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y x))
0.6b	(cbrt (- y x))
2.6b	(* (cbrt (- y x)) (/ z t))
3.4b	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite146.0ms

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×	`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 → 152

Calls

4 calls:

4.0ms	(cbrt (- y x))
4.0ms	(cbrt (- y x))
29.0ms	(* (cbrt (- y x)) (/ z t))
97.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series538.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- y x))
150.0ms	(cbrt (- y x))
195.0ms	(* (cbrt (- y x)) (/ z t))
46.0ms	(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify76.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	806	2054
1	2665	1859
2	5001	1806

prune415.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
4.7b	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`associate-r`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-prod` `times-frac` `add-cbrt-cube`
13×	`pow1`
12×	`prod-exp` `cbrt-unprod`
6×	`pow-prod-down`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 84

Calls

4 calls:

1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)
105.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

series630.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(cbrt z)
182.0ms	(cbrt z)
182.0ms	(cbrt z)
85.0ms	(* (* (* (cbrt z) (cbrt z)) (- y x)) (/ (cbrt z) t))

simplify73.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	430	694
1	2345	534
2	5003	495

prune247.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

15×	`*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt`
6×	`times-frac` `associate-/r*`
4×	`pow1` `cbrt-undiv` `div-exp` `div-inv`
2×	`sub-neg` `associate-+r+` `frac-2neg` `diff-log` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `distribute-lft-out` `associate-/l*` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `distribute-rgt-out--` `flip3-+` `frac-sub` `flip--` `flip-+` `sub-div` `difference-of-squares`

Counts

4 → 76

Calls

4 calls:

18.0ms	(- (/ (* z y) t) (/ (* x z) t))
46.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
10.0ms	(/ (* x z) t)
10.0ms	(/ (* z y) t)

series137.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (/ (* z y) t) (/ (* x z) t))
40.0ms	(+ x (- (/ (* z y) t) (/ (* x z) t)))
21.0ms	(/ (* x z) t)
24.0ms	(/ (* z y) t)

simplify42.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	330	467
1	1537	432
2	5002	431

prune168.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes196.0ms

Accuracy

-6.6% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.0b

bsearch62.0ms

Steps

Iters	Range		Point
8	1.0106610235841795e-263	1.7046210952040667e-260	1.1944584596260717e-263
8	-4.801100531078223e-42	-1.7862332741693714e-44	-1.8820563124190367e-43

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	10
1	28	10

end0.0ms

sample614.0ms

Algorithm

intervals

Results

251.0ms

10663×

body

valid