Details

sample25.0ms

Algorithm

intervals

Results

9.0ms	256×	pre	80	true
7.0ms	256×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	12	3
2	12	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize4.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
7.4b	(- (/ x0 (- 1.0 x1)) x0)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
6×	`difference-of-squares`
5×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ x0 (- 1.0 x1))
33.0ms	(- (/ x0 (- 1.0 x1)) x0)

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ x0 (- 1.0 x1))
41.0ms	(- (/ x0 (- 1.0 x1)) x0)

simplify92.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	244	328
1	801	315
2	3123	310
3	5001	310

prune82.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.2b	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
45×	`times-frac`
34×	`add-cube-cbrt`
15×	`associate-/r*`
13×	`difference-of-squares`
12×	`distribute-lft-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`associate-/r/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 124

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
8.0ms	(/ x0 (- 1.0 x1))
10.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series171.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ x0 (- 1.0 x1))
32.0ms	(/ x0 (- 1.0 x1))
33.0ms	(/ x0 (- 1.0 x1))
71.0ms	(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify157.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	288	828
1	1116	773
2	4811	759
3	5001	759

prune231.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (/ x0 (- 1.0 x1)) x0)
0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
6.2b	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
30×	`times-frac`
24×	`add-cube-cbrt`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `associate-/r/`
3×	`flip3--` `flip--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 102

Calls

4 calls:

25.0ms	(+ (/ x0 (- 1.0 x1)) x0)
5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
30.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series289.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (/ x0 (- 1.0 x1)) x0)
33.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
187.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify49.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	395	799
1	1569	757
2	5002	745

prune244.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.8b	(/ x0 (- 1.0 x1))
0.8b	(/ x0 (- 1.0 x1))
3.8b	(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
6.2b	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
26×	`add-cube-cbrt`
10×	`associate-/r*`
9×	`log-prod`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate--l+` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
6×	`exp-sum` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`associate-/r/` `log-pow`
3×	`exp-prod` `flip3--` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`log-div` `exp-diff` `diff-log` `rem-log-exp`

Counts

4 → 112

Calls

4 calls:

5.0ms	(/ x0 (- 1.0 x1))
5.0ms	(/ x0 (- 1.0 x1))
92.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
30.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

series443.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ x0 (- 1.0 x1))
35.0ms	(/ x0 (- 1.0 x1))
186.0ms	(log (exp (- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))))
189.0ms	(- (* (/ x0 (- 1.0 x1)) (* (/ x0 (- (* 1.0 1.0) (* x1 x1))) (+ 1.0 x1))) (* x0 x0))

simplify47.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	415	1106
1	1507	1024
2	5002	1006

prune313.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.0b

regimes45.0ms

Accuracy

0% (0.7b remaining)

Error of 4.7b against oracle of 4.0b and baseline of 4.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	25
1	35	25

end0.0ms

sample659.0ms

Algorithm

intervals

Results

279.0ms	8000×	pre	80	true
244.0ms	8000×	body	80	valid