Details

sample85.0ms

Algorithm

intervals

Results

26.0ms	555×	body	80	nan
23.0ms	527×	body	80	valid

simplify108.0ms

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: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (/ (* t t) 2.0))
0.0b	(/ (* t t) 2.0)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
0.2b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(exp (/ (* t t) 2.0))
4.0ms	(/ (* t t) 2.0)
43.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
16.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(exp (/ (* t t) 2.0))
28.0ms	(/ (* t t) 2.0)
199.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
123.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify62.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	463	658
1	1807	565
2	5001	558

prune357.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (* (cbrt 2.0) (cbrt 2.0)))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv`

Counts

4 → 62

Calls

4 calls:

4.0ms	(/ t (* (cbrt 2.0) (cbrt 2.0)))
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series119.0ms

Counts

4 → 6

Calls

4 calls:

119.0ms	(/ t (* (cbrt 2.0) (cbrt 2.0)))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify118.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 4 (112.0ms)

Iter	Nodes	Cost
0	108	259
1	325	234
2	1007	226
3	4520	226
4	5002	223

prune313.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 99

Calls

4 calls:

4.0ms	(/ (* t t) 2.0)
82.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
13.0ms	(* (- (* x 0.5) y) (sqrt z))
22.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series508.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ (* t t) 2.0)
242.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
69.0ms	(* (- (* x 0.5) y) (sqrt z))
162.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (74.0ms)

Iter	Nodes	Cost
0	490	866
1	2265	736
2	5001	722

prune376.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
0.0b	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
0.3b	(* (- (* x 0.5) y) (sqrt z))
0.4b	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

rewrite438.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `add-exp-log` `add-cbrt-cube`
24×	`associate-r`
20×	`pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
17×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
6×	`associate-l`
4×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`unswap-sqr`

Counts

4 → 110

Calls

4 calls:

308.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
85.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
13.0ms	(* (- (* x 0.5) y) (sqrt z))
28.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series715.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0)))) (sqrt (exp (/ (* t t) 2.0))))
248.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (sqrt (exp (/ (* t t) 2.0))))
67.0ms	(* (- (* x 0.5) y) (sqrt z))
165.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify105.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (91.0ms)

Iter	Nodes	Cost
0	569	1423
1	2680	1180
2	5001	1164

prune365.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes638.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	14
1	22	14

end0.0ms

sample2.5s

Algorithm

intervals

Results

786.0ms	17647×	body	80	valid
768.0ms	17779×	body	80	nan