Details

sample100.0ms

Algorithm

intervals

Results

37.0ms	256×	body	80	valid
31.0ms	228×	body	80	nan

simplify40.0ms

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: 4.7b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
3.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.7b	(/ (* z (sqrt (+ t a))) t)

rewrite46.0ms

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:

12.0ms	(* z (sqrt (+ t a)))
3.0ms	(/ 2.0 (* t 3.0))
19.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series363.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* z (sqrt (+ t a)))
22.0ms	(/ 2.0 (* t 3.0))
191.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
85.0ms	(/ (* z (sqrt (+ t a))) t)

simplify38.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1019	1262
1	5001	1200

prune615.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
1.4b	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
3.3b	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

rewrite86.0ms

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)
44.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
30.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

series727.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt t)
186.0ms	(cbrt t)
115.0ms	(* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t)))
235.0ms	(- (* (/ z (* (cbrt t) (cbrt t))) (/ (sqrt (+ t a)) (cbrt t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))

simplify63.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (34.0ms)

Iter	Nodes	Cost
0	1739	3626
1	5001	3513

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.2b

localize31.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 2.0 (* t 3.0))
2.5b	(log (exp (/ 2.0 (* t 3.0))))
3.6b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
5.7b	(/ (* z (sqrt (+ t a))) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

3.0ms	(/ 2.0 (* t 3.0))
4.0ms	(log (exp (/ 2.0 (* t 3.0))))
18.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
7.0ms	(/ (* z (sqrt (+ t a))) t)

series316.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ 2.0 (* t 3.0))
17.0ms	(log (exp (/ 2.0 (* t 3.0))))
190.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
86.0ms	(/ (* z (sqrt (+ t a))) t)

simplify84.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	768	1017
1	3739	918
2	5001	917

prune576.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 1.0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* a c) (* 0.8333333333333334 c))
0.0b	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
1.4b	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
9×	`associate-r`
7×	`add-sqr-sqrt`
6×	`exp-sum`
5×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
4×	`add-exp-log`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `associate--l+`
2×	`diff-log` `sum-log`
1×	`+-commutative` `distribute-rgt-out` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

3 → 50

Calls

3 calls:

3.0ms	(+ (* a c) (* 0.8333333333333334 c))
20.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
20.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

series138.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* a c) (* 0.8333333333333334 c))
70.0ms	(* y (exp (* 2.0 (- (+ (* a c) (* 0.8333333333333334 c)) (* a b)))))
35.0ms	(- (+ (* a c) (* 0.8333333333333334 c)) (* a b))

simplify104.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (99.0ms)

Iter	Nodes	Cost
0	259	448
1	966	398
2	3737	386
3	5001	385

prune185.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.5b

regimes396.0ms

Accuracy

0% (2.3b remaining)

Error of 2.6b against oracle of 0.3b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	22
1	39	22

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
1.1s	8174×	body	80	nan