Details

sample36.0ms

Algorithm

intervals

Results

19.0ms

504×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	42	7
2	54	7
3	54	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
21.6b	(/ (* x x) (* y y))
22.2b	(/ (* z z) (* t t))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-log-exp`
3×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

9.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms	(/ (* x x) (* y y))
6.0ms	(/ (* z z) (* t t))

series142.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
28.0ms	(/ (* x x) (* y y))
25.0ms	(/ (* z z) (* t t))

simplify42.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	375	410
1	1850	329
2	5002	297

prune137.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
21.6b	(/ (* x x) (* y y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`times-frac`
31×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
13×	`swap-sqr` `associate-r` `associate-l`
10×	`pow1`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`div-inv` `add-log-exp`
4×	`unswap-sqr`
3×	`frac-add`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip-+` `associate-/l*`

Counts

3 → 102

Calls

3 calls:

7.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
10.0ms	(* (/ z t) (/ z t))
9.0ms	(/ (* x x) (* y y))

series139.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (/ (* x x) (* y y)) (* (/ z t) (/ z t)))
25.0ms	(* (/ z t) (/ z t))
25.0ms	(/ (* x x) (* y y))

simplify71.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	590	695
1	2934	591
2	5002	561

prune224.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
0.3b	(* (/ x y) (/ x y))
0.3b	(* (/ z t) (/ z t))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-sqr-sqrt`
80×	`times-frac`
59×	`add-cube-cbrt` `*-un-lft-identity`
27×	`add-exp-log` `add-cbrt-cube`
26×	`swap-sqr` `associate-r` `associate-l`
17×	`pow1`
9×	`frac-add`
8×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
5×	`add-log-exp`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 154

Calls

3 calls:

7.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
10.0ms	(* (/ x y) (/ x y))
10.0ms	(* (/ z t) (/ z t))

series147.0ms

Counts

3 → 9

Calls

3 calls:

93.0ms	(+ (* (/ x y) (/ x y)) (* (/ z t) (/ z t)))
25.0ms	(* (/ x y) (/ x y))
29.0ms	(* (/ z t) (/ z t))

simplify111.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	818	1019
1	4079	895
2	5001	862

prune343.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
20.0b	(cbrt (* (/ x y) (/ x y)))
20.0b	(cbrt (* (/ x y) (/ x y)))
20.0b	(cbrt (* (/ x y) (/ x y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
20×	`frac-times`
14×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

6.0ms	(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
5.0ms	(cbrt (* (/ x y) (/ x y)))
9.0ms	(cbrt (* (/ x y) (/ x y)))
5.0ms	(cbrt (* (/ x y) (/ x y)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(* (cbrt (* (/ x y) (/ x y))) (cbrt (* (/ x y) (/ x y))))
85.0ms	(cbrt (* (/ x y) (/ x y)))
84.0ms	(cbrt (* (/ x y) (/ x y)))
86.0ms	(cbrt (* (/ x y) (/ x y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	197	733
1	610	650
2	2523	587
3	5001	573

prune240.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0b

regimes365.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	18
1	14	18

end0.0ms

sample979.0ms

Algorithm

intervals

Results

562.0ms

15542×

body

valid