Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	7
1	48	7
2	104	7
3	196	7
4	359	7
5	686	7
6	1355	7
7	5001	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
20.8b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 42

Calls

2 calls:

2.0ms	(+ (* x x) (* y y))
12.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series89.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) (* y y))
62.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify42.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	308	388
1	1848	330
2	5001	322

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
0.0b	(+ (* x x) (* y y))
0.0b	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
20.8b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
18×	`unpow-prod-down` `cube-prod`
16×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log` `times-frac` `add-cbrt-cube`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`associate-/l/`
6×	`add-log-exp`
5×	`pow1` `div-inv`
4×	`cbrt-undiv` `frac-times` `div-exp`
3×	`pow-unpow` `flip3--` `pow-exp` `associate-/r*` `flip--` `rem-cube-cbrt`
2×	`cube-div` `cube-mult` `unpow3` `associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `clear-num` `sum-log` `rem-cbrt-cube` `associate-/l*`

Counts

4 → 116

Calls

4 calls:

6.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
2.0ms	(+ (* x x) (* y y))
11.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
14.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(cbrt (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3))
29.0ms	(+ (* x x) (* y y))
70.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
62.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify73.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (60.0ms)

Iter	Nodes	Cost
0	494	1238
1	2872	1167
2	5001	1161

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
0.0b	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
20.8b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

3.0ms	(+ (* x x) (* y y))
9.0ms	(exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
10.0ms	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
14.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series226.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* x x) (* y y))
75.0ms	(exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
59.0ms	(log (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
62.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify46.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	355	761
1	1949	662
2	5001	647

prune211.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.5b

regimes82.0ms

Accuracy

76.2% (4.8b remaining)

Error of 5.3b against oracle of 0.4b and baseline of 20.7b

bsearch111.0ms

Steps

Iters	Range		Point
9	8.629846534349985e-166	8.676345970198339e-157	1.453126182914287e-160
6	-5.396162803196854e-193	-5.1690675874937794e-194	-5.281630541827527e-193
7	-9.81938626869002e-169	-2.492257453868926e-170	-6.1699005892544436e-170
10	-2.289221702464722e+161	-4.226622760104674e+150	-1.070030759127226e+151

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	18
1	31	18

end0.0ms

sample462.0ms

Algorithm

intervals

Results

230.0ms	8000×	body	80	valid
99.0ms	8000×	pre	80	true