Details

sample22.0ms

Algorithm

intervals

Results

8.0ms

324×

body

valid

simplify113.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	48	3
3	96	3
4	153	3
5	203	3
6	247	3
7	401	3
8	680	3
9	1133	3
10	1866	3
11	3291	3
12	4745	3
13	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.6b	(fma (/ y t) (- z x) x)

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ y t) (- z x) x)

series26.0ms

Counts

1 → 3

Calls

1 calls:

26.0ms

(fma (/ y t) (- z x) x)

simplify44.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	40	69
1	93	62
2	270	53
3	1300	53
4	5001	53

prune30.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b	(fma (/ y t) (- z x) x)
0.6b	(cbrt (fma (/ y t) (- z x) x))
0.6b	(cbrt (fma (/ y t) (- z x) x))
0.6b	(cbrt (fma (/ y t) (- z x) x))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(fma (/ y t) (- z x) x)
1.0ms	(cbrt (fma (/ y t) (- z x) x))
1.0ms	(cbrt (fma (/ y t) (- z x) x))
1.0ms	(cbrt (fma (/ y t) (- z x) x))

series512.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(fma (/ y t) (- z x) x)
162.0ms	(cbrt (fma (/ y t) (- z x) x))
162.0ms	(cbrt (fma (/ y t) (- z x) x))
164.0ms	(cbrt (fma (/ y t) (- z x) x))

simplify33.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	116	408
1	284	374
2	1044	356
3	5001	341

prune170.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (fma (/ y t) (- z x) x))
0.6b	(cbrt (fma (/ y t) (- z x) x))
0.6b	(cbrt (fma (/ y t) (- z x) x))
0.6b	(cbrt (fma (/ y t) (- z x) x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (fma (/ y t) (- z x) x))
1.0ms	(cbrt (fma (/ y t) (- z x) x))
1.0ms	(cbrt (fma (/ y t) (- z x) x))
1.0ms	(cbrt (fma (/ y t) (- z x) x))

series670.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt (fma (/ y t) (- z x) x))
167.0ms	(cbrt (fma (/ y t) (- z x) x))
166.0ms	(cbrt (fma (/ y t) (- z x) x))
169.0ms	(cbrt (fma (/ y t) (- z x) x))

simplify85.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	90	452
1	217	416
2	835	404
3	3974	384
4	5001	384

prune236.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(* y (- z x))
0.0b	(+ x (/ (* y (- z x)) t))
7.6b	(/ (* y (- z x)) t)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`prod-diff`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-r` `add-log-exp`
4×	`associate-*r/`
3×	`expm1-log1p-u` `fma-def` `times-frac` `associate-l` `associate-/r*` `log1p-expm1-u`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out` `associate-/l` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

3 → 88

Calls

3 calls:

21.0ms	(* y (- z x))
9.0ms	(+ x (/ (* y (- z x)) t))
23.0ms	(/ (* y (- z x)) t)

series108.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* y (- z x))
31.0ms	(+ x (/ (* y (- z x)) t))
44.0ms	(/ (* y (- z x)) t)

simplify46.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	377	600
1	1715	428
2	5003	420

prune143.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes88.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	3

end0.0ms

sample599.0ms

Algorithm

intervals

Results

245.0ms

10728×

body

valid