Details

sample20.0ms

Algorithm

intervals

Results

9.0ms

341×

body

valid

simplify123.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
5.6b	(* (/ 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)
14.0ms	(* (/ x y) (- z t))

series82.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ x y) (- z t)) t)
48.0ms	(* (/ 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

prune120.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- t (* t (/ x y)))
0.0b	(+ (* (/ x y) z) (- t (* t (/ x y))))
3.3b	(* t (/ x y))
4.3b	(* (/ x y) z)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
16×	`associate-r` `associate-l`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
8×	`pow1`
4×	`prod-exp` `cbrt-unprod` `unswap-sqr`
3×	`associate-*l/`
2×	`cbrt-undiv` `sub-neg` `associate-+r+` `flip3--` `diff-log` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip--` `div-inv`
1×	`+-commutative` `associate-+r-` `flip3-+` `associate-*r/` `flip-+`

Counts

4 → 93

Calls

4 calls:

2.0ms	(- t (* t (/ x y)))
7.0ms	(+ (* (/ x y) z) (- t (* t (/ x y))))
7.0ms	(* t (/ x y))
7.0ms	(* (/ x y) z)

series100.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(- t (* t (/ x y)))
34.0ms	(+ (* (/ x y) z) (- t (* t (/ x y))))
18.0ms	(* t (/ x y))
20.0ms	(* (/ x y) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	437	525
1	2109	485
2	5001	470

prune213.0ms

Filtered

105 candidates to 74 candidates (70.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

4.3b	(* (/ x y) z)
11.9b	(cbrt (* t (/ x y)))
11.9b	(cbrt (* t (/ x y)))
11.9b	(cbrt (* t (/ x y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r/` `associate-r*`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `div-inv`

Counts

4 → 62

Calls

4 calls:

7.0ms	(* (/ x y) z)
2.0ms	(cbrt (* t (/ x y)))
3.0ms	(cbrt (* t (/ x y)))
3.0ms	(cbrt (* t (/ x y)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (/ x y) z)
79.0ms	(cbrt (* t (/ x y)))
78.0ms	(cbrt (* t (/ x y)))
79.0ms	(cbrt (* t (/ x y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	229	353
1	754	314
2	2856	295
3	5001	277

prune197.0ms

Filtered

74 candidates to 55 candidates (74.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.3b	(* (/ x (cbrt y)) (- z t))
3.1b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
18.0ms	(* (/ x (cbrt y)) (- z t))
46.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series602.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt y)
172.0ms	(cbrt y)
176.0ms	(* (/ x (cbrt y)) (- z t))
81.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify79.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	688	1266
1	3362	978
2	5001	864

prune334.0ms

Filtered

153 candidates to 96 candidates (62.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes197.0ms

Accuracy

27% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.0b

bsearch82.0ms

Steps

Iters	Range		Point
9	1.5436223903483859e-34	1.3502349551845857e-27	5.603754168974797e-28
9	-1.707166976749799e-57	-4.049015512932688e-67	-1.667370803916951e-57

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	18
1	34	18

end0.0ms

sample538.0ms

Algorithm

intervals

Results

282.0ms

10684×

body

valid