Details

sample22.0ms

Algorithm

intervals

Results

7.0ms

280×

body

valid

simplify63.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
1.8b	(* y (/ (- z t) (- a t)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

9.0ms	(+ x (* y (/ (- z t) (- a t))))
22.0ms	(/ (- z t) (- a t))
44.0ms	(* y (/ (- z t) (- a t)))

series173.0ms

Counts

3 → 9

Calls

3 calls:

70.0ms	(+ x (* y (/ (- z t) (- a t))))
45.0ms	(/ (- z t) (- a t))
58.0ms	(* y (/ (- z t) (- a t)))

simplify53.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730

prune299.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (* 1 (/ (- z t) (- a t)))))
0.0b	(/ (- z t) (- a t))
1.8b	(* y (* 1 (/ (- z t) (- a t))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
19×	`add-exp-log`
17×	`add-cube-cbrt`
14×	`add-cbrt-cube`
12×	`distribute-lft-out--` `difference-of-squares`
9×	`prod-exp`
8×	`pow1`
5×	`associate-/r` `cbrt-unprod` `associate-/l` `add-log-exp`
3×	`expm1-log1p-u` `fma-def` `div-exp` `associate-l` `pow-prod-down` `log1p-expm1-u`
2×	`cbrt-undiv` `flip3--` `1-exp` `associate-*r/` `associate-/r/` `flip--` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r` `clear-num` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

3 → 95

Calls

3 calls:

8.0ms	(+ x (* y (* 1 (/ (- z t) (- a t)))))
24.0ms	(/ (- z t) (- a t))
45.0ms	(* y (* 1 (/ (- z t) (- a t))))

series175.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ x (* y (* 1 (/ (- z t) (- a t)))))
46.0ms	(/ (- z t) (- a t))
58.0ms	(* y (* 1 (/ (- z t) (- a t))))

simplify47.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	424	658
1	1519	596
2	5001	593

prune242.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (* (- z t) (/ 1 (- a t)))))
0.0b	(/ 1 (- a t))
0.2b	(* (- z t) (/ 1 (- a t)))
1.8b	(* y (* (- z t) (/ 1 (- a t))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
32×	`add-exp-log` `times-frac`
26×	`add-cube-cbrt`
22×	`associate-r`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `frac-times` `pow-prod-down` `associate-*l/` `associate-/r/` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `fma-def` `1-exp` `associate-/l*` `unswap-sqr`
2×	`un-div-inv` `*-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `flip-+` `inv-pow`

Counts

4 → 141

Calls

4 calls:

9.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
11.0ms	(/ 1 (- a t))
45.0ms	(* (- z t) (/ 1 (- a t)))
49.0ms	(* y (* (- z t) (/ 1 (- a t))))

series206.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(+ x (* y (* (- z t) (/ 1 (- a t)))))
31.0ms	(/ 1 (- a t))
46.0ms	(* (- z t) (/ 1 (- a t)))
57.0ms	(* y (* (- z t) (/ 1 (- a t))))

simplify60.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	468	829
1	2047	715
2	5003	668

prune309.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

1.8b	(* y (* 1 (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t))))))
4.7b	(cbrt (/ (- z t) (- a t)))
4.7b	(cbrt (/ (- z t) (- a t)))
4.7b	(cbrt (/ (- z t) (- a t)))

rewrite982.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
27×	`add-exp-log`
19×	`prod-exp`
18×	`pow1`
17×	`associate-*r/`
15×	`cbrt-div`
14×	`add-cbrt-cube`
10×	`pow-prod-down` `cbrt-unprod`
6×	`associate-/r/`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `1-exp` `associate-l` `flip--` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 162

Calls

4 calls:

945.0ms	(* y (* 1 (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t))))))
9.0ms	(cbrt (/ (- z t) (- a t)))
11.0ms	(cbrt (/ (- z t) (- a t)))
9.0ms	(cbrt (/ (- z t) (- a t)))

series931.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* y (* 1 (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t))))))
282.0ms	(cbrt (/ (- z t) (- a t)))
287.0ms	(cbrt (/ (- z t) (- a t)))
300.0ms	(cbrt (/ (- z t) (- a t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	543	1989
1	1772	1698
2	5002	1634

prune535.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes222.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	6
1	19	6
2	19	6

end0.0ms

sample600.0ms

Algorithm

intervals

Results

250.0ms	8768×	body	80	valid
0.0ms	1×	body	1280	valid