Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

361×

body

valid

simplify119.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3021	4
12	4541	4
13	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
7.8b	(* (/ x y) (- z t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 57

Calls

2 calls:

7.0ms	(+ (* (/ x y) (- z t)) t)
15.0ms	(* (/ x y) (- z t))

series85.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* (/ x y) (- z t)) t)
53.0ms	(* (/ x y) (- z t))

simplify33.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune132.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x (/ (- z t) y)) t)
0.0b	(/ (- z t) y)
7.0b	(* x (/ (- z t) y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
37×	`*-un-lft-identity`
31×	`times-frac`
23×	`add-cube-cbrt`
19×	`associate-r`
10×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out--` `difference-of-squares`
5×	`pow1` `associate-/l*` `add-log-exp`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `flip3--` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip--` `flip-+`

Counts

3 → 87

Calls

3 calls:

6.0ms	(+ (* x (/ (- z t) y)) t)
7.0ms	(/ (- z t) y)
15.0ms	(* x (/ (- z t) y))

series111.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x (/ (- z t) y)) t)
25.0ms	(/ (- z t) y)
53.0ms	(* x (/ (- z t) y))

simplify41.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	342	501
1	1379	468
2	5001	456

prune203.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
5.6b	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
36.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

series623.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt y)
181.0ms	(cbrt y)
175.0ms	(cbrt y)
91.0ms	(* (/ x (* (cbrt y) (cbrt y))) (/ (- z t) (cbrt y)))

simplify60.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	481	918
1	2614	741
2	5001	706

prune327.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.4b	(* x (/ (- z t) (cbrt y)))
3.8b	(/ (* x (/ (- z t) (cbrt y))) (* (cbrt y) (cbrt y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
34×	`associate-r`
33×	`times-frac`
30×	`add-exp-log`
24×	`add-cube-cbrt`
22×	`cbrt-prod`
21×	`add-cbrt-cube`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`pow1` `distribute-lft-out--` `difference-of-squares`
4×	`add-log-exp`
3×	`associate-l` `unswap-sqr`
2×	`pow1/3` `associate-*r/` `div-inv`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `associate-/l/` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
20.0ms	(* x (/ (- z t) (cbrt y)))
10.0ms	(/ (* x (/ (- z t) (cbrt y))) (* (cbrt y) (cbrt y)))

series618.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
174.0ms	(cbrt y)
175.0ms	(* x (/ (- z t) (cbrt y)))
85.0ms	(/ (* x (/ (- z t) (cbrt y))) (* (cbrt y) (cbrt y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	457	748
1	2321	627
2	5001	585

prune271.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

-2.7% (1.7b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.7b

bsearch60.0ms

Steps

Iters	Range		Point
6	2.027275754687453e-96	1.373774872959324e-95	3.677686715390962e-96
7	4.7236819952634025e-259	1.454974542591104e-257	3.9907548414935313e-258

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	13
1	27	13

end0.0ms

sample623.0ms

Algorithm

intervals

Results

317.0ms

10671×

body

valid