Details

sample30.0ms

Algorithm

intervals

Results

15.0ms

452×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	7
1	42	7
2	54	7
3	54	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
19.4b	(/ (* z z) (* t t))
21.6b	(/ (* x x) (* y y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`*-un-lft-identity` `add-log-exp`
3×	`pow1` `add-sqr-sqrt` `add-cube-cbrt`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`
1×	`+-commutative` `flip3-+` `frac-add` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 55

Calls

3 calls:

13.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
6.0ms	(/ (* z z) (* t t))
6.0ms	(/ (* x x) (* y y))

series139.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (/ (* x x) (* y y)) (/ (* z z) (* t t)))
25.0ms	(/ (* z z) (* t t))
25.0ms	(/ (* x x) (* y y))

simplify38.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	375	410
1	1850	329
2	5002	297

prune144.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))
19.4b	(/ (* z z) (* t t))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `div-exp`
3×	`swap-sqr` `associate-r` `associate-l`
1×	`+-commutative` `pow2` `frac-2neg` `flip3-+` `times-frac` `pow-plus` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `pow-sqr` `-commutative` `pow-prod-up` `flip-+` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

4.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
3.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
6.0ms	(/ (* z z) (* t t))

series100.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (/ (* z z) (* t t)))
7.0ms	(* (fabs (/ x y)) (fabs (/ x y)))
25.0ms	(/ (* z z) (* t t))

simplify35.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	267	431
1	1295	348
2	5001	324

prune159.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
0.3b	(* (/ z t) (/ z t))
0.3b	(* (fabs (/ x y)) (fabs (/ x y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
40×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
17×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`swap-sqr` `associate-r` `associate-l`
5×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
4×	`cbrt-undiv` `div-exp` `div-inv`
2×	`pow2` `pow-plus` `pow-prod-down` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`+-commutative` `frac-times` `flip3-+` `associate-r/` `associate-l/` `sum-log` `flip-+`

Counts

3 → 103

Calls

3 calls:

3.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
10.0ms	(* (/ z t) (/ z t))
3.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(+ (* (fabs (/ x y)) (fabs (/ x y))) (* (/ z t) (/ z t)))
29.0ms	(* (/ z t) (/ z t))
7.0ms	(* (fabs (/ x y)) (fabs (/ x y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	463	705
1	2298	601
2	5001	555

prune276.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
23.0b	(cbrt (* (/ z t) (/ z t)))
23.0b	(cbrt (* (/ z t) (/ z t)))
23.0b	(cbrt (* (/ z t) (/ z t)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

33×	`cbrt-div`
20×	`frac-times`
14×	`associate-r/` `associate-l/`
12×	`add-sqr-sqrt`
11×	`pow1` `cbrt-prod`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

6.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
5.0ms	(cbrt (* (/ z t) (/ z t)))
5.0ms	(cbrt (* (/ z t) (/ z t)))
5.0ms	(cbrt (* (/ z t) (/ z t)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(* (cbrt (* (/ z t) (/ z t))) (cbrt (* (/ z t) (/ z t))))
83.0ms	(cbrt (* (/ z t) (/ z t)))
82.0ms	(cbrt (* (/ z t) (/ z t)))
85.0ms	(cbrt (* (/ z t) (/ z t)))

simplify57.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	197	733
1	610	650
2	2523	587
3	5001	573

prune255.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes640.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	20
1	15	20

end0.0ms

sample923.0ms

Algorithm

intervals

Results

531.0ms

15358×

body

valid