Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

517×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	19	6
1	50	6
2	159	6
3	351	6
4	609	6
5	733	6
6	1068	6
7	1342	6
8	1506	6
9	1553	6
10	1553	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x x) (* (* y 4.0) (- (* z z) t)))
7.4b	(* (* y 4.0) (- (* z z) t))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

11.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
35.0ms	(* (* y 4.0) (- (* z z) t))

series120.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(- (* x x) (* (* y 4.0) (- (* z z) t)))
53.0ms	(* (* y 4.0) (- (* z z) t))

simplify43.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	269	322
1	1276	286
2	5001	281

prune87.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 4 expressions with local error:

5.0b	(cbrt (* (* y 4.0) (- (* z z) t)))
7.4b	(* (* y 4.0) (- (* z z) t))
7.4b	(* (* y 4.0) (- (* z z) t))
7.4b	(* (* y 4.0) (- (* z z) t))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

20.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
37.0ms	(* (* y 4.0) (- (* z z) t))
34.0ms	(* (* y 4.0) (- (* z z) t))
37.0ms	(* (* y 4.0) (- (* z z) t))

series301.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(cbrt (* (* y 4.0) (- (* z z) t)))
54.0ms	(* (* y 4.0) (- (* z z) t))
56.0ms	(* (* y 4.0) (- (* z z) t))
58.0ms	(* (* y 4.0) (- (* z z) t))

simplify40.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	291	616
1	1138	518
2	5002	507

prune224.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 2.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ (- (* t t)) (pow z 4)) 4.0)
3.1b	(+ (- (* t t)) (pow z 4))
8.3b	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
22.9b	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
13×	`*-un-lft-identity`
11×	`pow1` `add-sqr-sqrt`
10×	`associate-*l/`
9×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-r`
5×	`flip3-+` `associate-l` `flip-+`
4×	`pow-prod-down`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`sum-log` `associate-/r/` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`+-commutative` `neg-sub0` `associate-+l-` `frac-2neg` `neg-log` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 82

Calls

4 calls:

40.0ms	(* (+ (- (* t t)) (pow z 4)) 4.0)
11.0ms	(+ (- (* t t)) (pow z 4))
54.0ms	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
64.0ms	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

series270.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* (+ (- (* t t)) (pow z 4)) 4.0)
48.0ms	(+ (- (* t t)) (pow z 4))
67.0ms	(* (* (+ (- (* t t)) (pow z 4)) 4.0) y)
87.0ms	(/ (* (* (+ (- (* t t)) (pow z 4)) 4.0) y) (+ (* z z) t))

simplify76.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	423	814
1	2658	627
2	5001	619

prune249.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 2.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ z (sqrt t))
0.0b	(- z (sqrt t))
0.1b	(* (* y 4.0) (+ z (sqrt t)))
0.1b	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

rewrite132.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

6.0ms	(+ z (sqrt t))
6.0ms	(- z (sqrt t))
31.0ms	(* (* y 4.0) (+ z (sqrt t)))
86.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ z (sqrt t))
26.0ms	(- z (sqrt t))
50.0ms	(* (* y 4.0) (+ z (sqrt t)))
85.0ms	(* (* (* y 4.0) (+ z (sqrt t))) (- z (sqrt t)))

simplify77.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	432	708
1	2656	578
2	5001	573

prune211.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 2.5b

regimes458.0ms

Accuracy

81.9% (0.6b remaining)

Error of 3.2b against oracle of 2.6b and baseline of 6.1b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	16
1	25	16

end0.0ms

sample990.0ms

Algorithm

intervals

Results

472.0ms

15862×

body

valid