Details

sample97.0ms

Algorithm

intervals

Results

31.0ms	608×	body	80	nan
26.0ms	558×	body	80	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	9
1	43	9
2	92	9
3	186	9
4	341	9
5	703	9
6	2167	9
7	5001	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube`
13×	`add-exp-log`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-r`
6×	`associate-*l/`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-l` `pow-prod-down`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `flip3--` `div-exp` `*-commutative` `flip--`
1×	`frac-2neg` `clear-num` `sqrt-prod` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 68

Calls

3 calls:

11.0ms	(/ (* t t) 2.0)
95.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
40.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series288.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* t t) 2.0)
162.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
102.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	432	581
1	1713	493
2	5002	486

prune347.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-cbrt-cube`
13×	`add-exp-log`
10×	`pow1` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`associate-l`
5×	`prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down`
3×	`expm1-log1p-u` `times-frac` `associate-/r*` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp` `associate-l/` `-commutative`
1×	`flip3--` `frac-2neg` `clear-num` `sqrt-prod` `flip--` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

10.0ms	(/ (* t t) 2.0)
33.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
111.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

series292.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(/ (* t t) 2.0)
97.0ms	(* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0)))
170.0ms	(* (- (* x 0.5) y) (* (sqrt (* z 2.0)) (exp (/ (* t t) 2.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	472	627
1	1842	535
2	5001	523

prune353.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0)))))
0.5b	(* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1`
16×	`add-sqr-sqrt`
15×	`associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`pow-prod-down`
7×	`sqrt-prod`
5×	`associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `unswap-sqr`
1×	`flip3--` `frac-2neg` `clear-num` `flip--` `div-inv` `associate-/l*`

Counts

4 → 95

Calls

4 calls:

10.0ms	(/ (* t t) 2.0)
24.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
183.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0)))))
60.0ms	(* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

series387.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* t t) 2.0)
60.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
191.0ms	(* (- (* x 0.5) y) (* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0)))))
111.0ms	(* (sqrt z) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

simplify80.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	502	929
1	2325	799
2	5001	784

prune440.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.5b	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

rewrite172.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube`
22×	`add-exp-log`
20×	`pow1` `add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp` `cbrt-unprod`
10×	`associate-r` `associate-l` `pow-prod-down`
8×	`sqrt-prod`
6×	`associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-/r` `-commutative`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 99

Calls

4 calls:

10.0ms	(/ (* t t) 2.0)
25.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
29.0ms	(* (- (* x 0.5) y) (sqrt z))
104.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

series558.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* t t) 2.0)
280.0ms	(* (sqrt 2.0) (exp (/ (* t t) 2.0)))
63.0ms	(* (- (* x 0.5) y) (sqrt z))
191.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (* (sqrt 2.0) (exp (/ (* t t) 2.0))))

simplify72.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	464	858
1	2131	731
2	5002	717

prune386.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes784.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

end0.0ms

sample2.7s

Algorithm

intervals

Results

843.0ms	17958×	body	80	valid
827.0ms	17881×	body	80	nan