Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

394×

body

valid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- y z) (- t x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`frac-times`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 34

Calls

1 calls:

21.0ms

(* (- y z) (- t x))

series36.0ms

Counts

1 → 3

Calls

1 calls:

35.0ms

(* (- y z) (- t x))

simplify38.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	218	207
1	960	193
2	5002	193

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
1.1b	(cbrt (* (- y z) (- t x)))
1.1b	(cbrt (* (- y z) (- t x)))
1.1b	(cbrt (* (- y z) (- t x)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
50×	`associate-r/` `associate-l/`
11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 162

Calls

4 calls:

20.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
6.0ms	(cbrt (* (- y z) (- t x)))
6.0ms	(cbrt (* (- y z) (- t x)))
6.0ms	(cbrt (* (- y z) (- t x)))

series1.4s

Counts

4 → 12

Calls

4 calls:

625.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
244.0ms	(cbrt (* (- y z) (- t x)))
235.0ms	(cbrt (* (- y z) (- t x)))
256.0ms	(cbrt (* (- y z) (- t x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	505	2854
1	1528	2786
2	5001	2722

prune635.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.1b	(cbrt (* (- y z) (- t x)))
1.1b	(cbrt (* (- y z) (- t x)))
1.1b	(cbrt (* (- y z) (- t x)))
1.1b	(cbrt (* (- y z) (- t x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-div`
24×	`flip3--` `flip--`
16×	`frac-times`
8×	`associate-r/` `associate-l/`
4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

6.0ms	(cbrt (* (- y z) (- t x)))
6.0ms	(cbrt (* (- y z) (- t x)))
10.0ms	(cbrt (* (- y z) (- t x)))
6.0ms	(cbrt (* (- y z) (- t x)))

series1000.0ms

Counts

4 → 12

Calls

4 calls:

249.0ms	(cbrt (* (- y z) (- t x)))
248.0ms	(cbrt (* (- y z) (- t x)))
254.0ms	(cbrt (* (- y z) (- t x)))
249.0ms	(cbrt (* (- y z) (- t x)))

simplify89.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	257	784
1	799	748
2	3527	720
3	5001	716

prune393.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.8b	(+ (* x x) (* t x))
2.3b	(- (pow t 3) (pow x 3))
3.9b	(* (- y z) (- (pow t 3) (pow x 3)))
36.6b	(/ (* (- y z) (- (pow t 3) (pow x 3))) (+ (* t t) (+ (* x x) (* t x))))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-sqr-sqrt`
33×	`difference-of-squares`
30×	`*-un-lft-identity`
25×	`associate-r`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
13×	`flip3--` `flip--`
11×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
8×	`frac-times` `add-cube-cbrt` `associate-/l/` `add-log-exp`
6×	`pow1`
5×	`associate-l`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`difference-cubes` `cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`+-commutative` `distribute-rgt-out` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

3.0ms	(+ (* x x) (* t x))
16.0ms	(- (pow t 3) (pow x 3))
66.0ms	(* (- y z) (- (pow t 3) (pow x 3)))
38.0ms	(/ (* (- y z) (- (pow t 3) (pow x 3))) (+ (* t t) (+ (* x x) (* t x))))

series379.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x x) (* t x))
54.0ms	(- (pow t 3) (pow x 3))
139.0ms	(* (- y z) (- (pow t 3) (pow x 3)))
160.0ms	(/ (* (- y z) (- (pow t 3) (pow x 3))) (+ (* t t) (+ (* x x) (* t x))))

simplify104.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	640	1178
1	3529	1070
2	5001	1063

prune418.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes133.0ms

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	10	4
1	10	4

end0.0ms

sample583.0ms

Algorithm

intervals

Results

285.0ms

12221×

body

valid