Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
0.0b	(* 1.1283791670955126 (exp z))
0.6b	(- (* 1.1283791670955126 (exp z)) (* x y))
6.8b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

35.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
13.0ms	(* 1.1283791670955126 (exp z))
11.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
18.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series167.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
20.0ms	(* 1.1283791670955126 (exp z))
49.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
66.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune198.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.7b	(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
7.3b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.3b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.3b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `flip3--` `*-un-lft-identity` `flip--`
8×	`associate-/r/`
7×	`add-cbrt-cube`
4×	`pow1` `frac-times` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `associate-r/` `div-exp` `associate-l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 68

Calls

4 calls:

36.0ms	(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
12.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(/ y (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
107.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
111.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
103.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify98.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (88.0ms)

Iter	Nodes	Cost
0	363	1000
1	1030	912
2	3608	893
3	5002	881

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))))
0.1b	(* 0.5641895835477563 (pow z 2))
0.7b	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
9.5b	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

rewrite509.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt` `add-log-exp`
11×	`add-exp-log`
9×	`times-frac`
8×	`associate-r` `add-cbrt-cube`
4×	`pow1` `unpow-prod-down` `sum-log` `unswap-sqr`
3×	`diff-log` `associate-l` `prod-exp` `associate-/r` `associate-/l`
2×	`flip3--` `associate-/r/` `flip--` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `sub-neg` `frac-2neg` `flip3-+` `div-exp` `pow-exp` `associate--l+` `clear-num` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out`

Counts

4 → 83

Calls

4 calls:

204.0ms	(+ x (/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))))
12.0ms	(* 0.5641895835477563 (pow z 2))
156.0ms	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
135.0ms	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(+ x (/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))))
23.0ms	(* 0.5641895835477563 (pow z 2))
44.0ms	(- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y))
222.0ms	(/ y (- (+ (* 1.1283791670955126 z) (+ (* 0.5641895835477563 (pow z 2)) 1.1283791670955126)) (* x y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	384	874
1	1458	800
2	5002	794

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`times-frac` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 17

Calls

1 calls:

13.0ms

(- x (/ 1 x))

series24.0ms

Counts

1 → 3

Calls

1 calls:

23.0ms

(- x (/ 1 x))

simplify77.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	82	90
1	229	85
2	1594	81
3	5001	81

prune24.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes94.0ms

Accuracy

64.4% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 3.0b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	22
1	24	22

end0.0ms

sample448.0ms

Algorithm

intervals

Results

229.0ms

8001×

body

valid