Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

394×

body

valid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	14	4
1	30	3
2	86	3
3	290	3
4	803	3
5	1451	3
6	3457	3
7	5001	3

prune5.0ms

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))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
18×	`prod-diff`
15×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`frac-times`
3×	`pow1` `add-exp-log` `add-cbrt-cube`
2×	`sub-neg` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

1 → 54

Calls

1 calls:

19.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

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

simplify46.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	302	497
1	1400	357
2	5001	357

prune101.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 170

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:

641.0ms	(* (cbrt (* (- y z) (- t x))) (cbrt (* (- y z) (- t x))))
252.0ms	(cbrt (* (- y z) (- t x)))
251.0ms	(cbrt (* (- y z) (- t x)))
254.0ms	(cbrt (* (- y z) (- t x)))

simplify71.0ms

Algorithm

egg-herbie

Counts

182 → 182

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	519	2901
1	1600	2836
2	5002	2779

prune672.0ms

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)))

rewrite27.0ms

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` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 76

Calls

4 calls:

6.0ms	(cbrt (* (- y z) (- t x)))
6.0ms	(cbrt (* (- y z) (- t x)))
6.0ms	(cbrt (* (- y z) (- t x)))
7.0ms	(cbrt (* (- y z) (- t x)))

series1.0s

Counts

4 → 12

Calls

4 calls:

257.0ms	(cbrt (* (- y z) (- t x)))
253.0ms	(cbrt (* (- y z) (- t x)))
257.0ms	(cbrt (* (- y z) (- t x)))
255.0ms	(cbrt (* (- y z) (- t x)))

simplify97.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	266	824
1	844	788
2	3789	760
3	5001	752

prune444.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize17.0ms

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))))

rewrite248.0ms

Algorithm

rewrite-expression-head

Rules

432×	`prod-diff`
279×	`add-sqr-sqrt`
249×	`*-un-lft-identity`
243×	`unpow-prod-down` `cube-prod`
227×	`add-cube-cbrt`
146×	`distribute-rgt-in` `distribute-lft-in`
89×	`sqr-pow`
73×	`cube-mult` `unpow3`
33×	`difference-of-squares`
25×	`associate-r`
13×	`flip3--` `flip--`
12×	`fma-neg`
11×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
8×	`frac-times` `associate-/l/` `add-log-exp`
6×	`pow1`
5×	`associate-l`
4×	`expm1-log1p-u` `associate-r/` `associate-l/` `log1p-expm1-u`
3×	`sub-neg` `times-frac` `associate-/r*`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+`
1×	`+-commutative` `distribute-rgt-out` `fma-def` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 584

Calls

4 calls:

3.0ms	(+ (* x x) (* t x))
21.0ms	(- (pow t 3) (pow x 3))
87.0ms	(* (- y z) (- (pow t 3) (pow x 3)))
96.0ms	(/ (* (- y z) (- (pow t 3) (pow x 3))) (+ (* t t) (+ (* x x) (* t x))))

series398.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (* x x) (* t x))
56.0ms	(- (pow t 3) (pow x 3))
145.0ms	(* (- y z) (- (pow t 3) (pow x 3)))
170.0ms	(/ (* (- y z) (- (pow t 3) (pow x 3))) (+ (* t t) (+ (* x x) (* t x))))

simplify115.0ms

Algorithm

egg-herbie

Counts

596 → 596

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1114	7311
1	5001	5301

prune540.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes139.0ms

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

sample615.0ms

Algorithm

intervals

Results

308.0ms

12221×

body

valid