Details

sample51.0ms

Algorithm

intervals

Results

18.0ms

458×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x y) (* z t))
0.0b	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b	(+ (+ (* x y) (* z t)) (* a b))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

8.0ms	(+ (* x y) (* z t))
111.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
32.0ms	(+ (+ (* x y) (* z t)) (* a b))

series272.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* x y) (* z t))
195.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
48.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify35.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	329

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.2b	(cbrt (+ (* x y) (* z t)))
1.2b	(cbrt (+ (* x y) (* z t)))
1.2b	(cbrt (+ (* x y) (* z t)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

45.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
99.0ms	(cbrt (+ (* x y) (* z t)))
98.0ms	(cbrt (+ (* x y) (* z t)))
95.0ms	(cbrt (+ (* x y) (* z t)))

simplify99.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903

prune378.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
9.7b	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
20.5b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
20.5b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`add-exp-log`
15×	`flip3--` `flip--`
8×	`cbrt-prod` `frac-times` `associate-/r/` `add-cbrt-cube` `associate-/l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod`
3×	`difference-of-squares`
2×	`pow1/3`
1×	`sub-neg` `frac-2neg` `times-frac` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 78

Calls

4 calls:

31.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
124.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
27.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
27.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series474.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
162.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (* (cbrt (- (* x y) (* z t))) (cbrt (- (* x y) (* z t)))))
108.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
106.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify62.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	465	1844
1	1761	1514
2	5002	1464

prune504.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
8.5b	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (cbrt (- (* x y) (* z t))))
20.5b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
20.5b	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

rewrite196.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
14×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
9×	`add-exp-log`
8×	`associate-/l/`
6×	`times-frac` `associate-/r*` `add-log-exp`
5×	`add-cbrt-cube`
4×	`pow1` `frac-times`
3×	`difference-of-squares`
2×	`cbrt-undiv` `pow1/3` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`sub-neg` `frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

31.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
106.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (cbrt (- (* x y) (* z t))))
30.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
27.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

series496.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(- (* (* x y) (* x y)) (* (* z t) (* z t)))
180.0ms	(/ (* (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t)))) (cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))) (cbrt (- (* x y) (* z t))))
108.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))
107.0ms	(cbrt (- (* (* x y) (* x y)) (* (* z t) (* z t))))

simplify58.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	417	1653
1	1576	1495
2	5002	1467

prune530.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes514.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	7
1	22	7

end0.0ms

sample1.3s

Algorithm

intervals

Results

477.0ms

13742×

body

valid