Details

sample70.0ms

Algorithm

intervals

Results

22.0ms	256×	body	80	valid
17.0ms	245×	body	80	nan

simplify37.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	17
1	106	17
2	374	17
3	1652	17
4	5001	17

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.8b

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
3.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.3b	(/ (* z (sqrt (+ t a))) t)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

10.0ms	(* z (sqrt (+ t a)))
5.0ms	(/ 2.0 (* t 3.0))
13.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ (* z (sqrt (+ t a))) t)

series338.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* z (sqrt (+ t a)))
21.0ms	(/ 2.0 (* t 3.0))
181.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
76.0ms	(/ (* z (sqrt (+ t a))) t)

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (26.0ms)

Iter	Nodes	Cost
0	1019	1262
1	5001	1200

prune574.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.9b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.4b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
60×	`frac-sub`
58×	`times-frac`
47×	`*-un-lft-identity`
46×	`associate-r`
39×	`frac-times`
35×	`add-cube-cbrt`
31×	`cbrt-prod`
28×	`sqrt-prod`
27×	`associate-*r/`
25×	`add-exp-log` `flip3--` `flip--`
21×	`associate-*l/`
18×	`add-cbrt-cube`
10×	`unswap-sqr`
9×	`flip3-+` `flip-+`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out` `associate--r+` `add-log-exp`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`pow1/3` `associate--l+` `div-inv`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 169

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
26.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
19.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series691.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt t)
180.0ms	(cbrt t)
113.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
219.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify74.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1739	3626
1	5001	3513

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
0.0b	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
0.0b	(+ (* a c) (* 0.8333333333333334 c))
0.7b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

9.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
4.0ms	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
7.0ms	(+ (* a c) (* 0.8333333333333334 c))
6.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series224.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
102.0ms	(/ x (+ x (* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))))
30.0ms	(+ (* a c) (* 0.8333333333333334 c))
33.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify53.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	370	925
1	1372	850
2	5001	839

prune290.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.7b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`diff-log`
1×	`sub-neg` `flip3--` `associate--l+` `sum-log` `flip--`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
6.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series581.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt x)
181.0ms	(cbrt x)
176.0ms	(cbrt x)
38.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify65.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	139	247
1	464	226
2	2046	214
3	5001	214

prune237.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes285.0ms

Accuracy

4.9% (2.2b remaining)

Error of 2.5b against oracle of 0.4b and baseline of 2.7b

bsearch230.0ms

Steps

Iters	Range		Point
6	3.001919746415152e-200	1.6978382922898562e-199	7.95399199019938e-200
5	-1.0259259657561245e-167	-4.491674753479794e-168	-6.549383117612401e-168

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	64
1	79	64

end0.0ms

sample1.8s

Algorithm

intervals

Results

594.0ms	8000×	body	80	valid
541.0ms	7833×	body	80	nan