Details

sample96.0ms

Algorithm

intervals

Results

30.0ms	756×	body	80	nan
27.0ms	619×	body	80	valid

simplify76.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* t t) 2.0)
0.0b	(exp (/ (* 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)))

rewrite63.0ms

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	(/ (* t t) 2.0)
2.0ms	(exp (/ (* t t) 2.0))
40.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series298.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (* t t) 2.0)
18.0ms	(exp (/ (* t t) 2.0))
155.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
101.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

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

prune288.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity`
13×	`pow-unpow`
11×	`associate-r`
10×	`prod-exp` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `unpow-prod-down` `associate-*l/`
4×	`pow-pow` `associate-l` `cbrt-unprod`
3×	`expm1-log1p-u` `pow-to-exp` `exp-prod` `pow-exp` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `*-commutative` `flip--` `sqr-pow`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

3 → 83

Calls

3 calls:

3.0ms	(pow (exp t) (/ t 2.0))
36.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
15.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series338.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(pow (exp t) (/ t 2.0))
187.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
102.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify60.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	513	701
1	2030	621
2	5001	617

prune291.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (pow (exp t) t) (/ 1 2.0))
0.0b	(pow (exp t) t)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (pow (exp t) t) (/ 1 2.0)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log`
23×	`add-sqr-sqrt` `unpow-prod-down`
21×	`add-cube-cbrt` `*-un-lft-identity`
16×	`pow-unpow` `prod-exp`
15×	`associate-r`
13×	`pow-exp`
11×	`add-cbrt-cube`
9×	`times-frac`
7×	`pow1` `pow-to-exp`
6×	`associate-*l/`
5×	`pow-pow` `sqr-pow`
4×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`exp-prod`
2×	`flip3--` `*-commutative` `flip--`
1×	`pow-prod-down` `sqrt-prod` `div-inv` `unswap-sqr`

Counts

4 → 116

Calls

4 calls:

4.0ms	(pow (pow (exp t) t) (/ 1 2.0))
2.0ms	(pow (exp t) t)
39.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (pow (exp t) t) (/ 1 2.0)))
17.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(pow (pow (exp t) t) (/ 1 2.0))
37.0ms	(pow (exp t) t)
240.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (pow (exp t) t) (/ 1 2.0)))
100.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	608	962
1	2444	859
2	5003	853

prune424.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) t)
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (* (cbrt (pow (exp t) t)) (cbrt (pow (exp t) t))) (/ 1 2.0)) (pow (cbrt (pow (exp t) t)) (/ 1 2.0))))
0.0b	(* (cbrt (pow (exp t) t)) (cbrt (pow (exp t) t)))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

89×	`add-exp-log`
71×	`prod-exp`
52×	`cbrt-prod`
47×	`add-sqr-sqrt`
23×	`unpow-prod-down`
21×	`add-cube-cbrt` `*-un-lft-identity` `pow-exp`
19×	`pow1`
18×	`add-cbrt-cube`
17×	`unswap-sqr`
15×	`pow-to-exp` `associate-r`
14×	`associate-l`
13×	`sqr-pow`
10×	`swap-sqr` `cbrt-unprod`
6×	`pow1/3` `pow-prod-down` `associate-*l/`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `exp-prod` `*-commutative`
2×	`flip3--` `pow-sqr` `pow-prod-up` `flip--`
1×	`pow2` `pow-plus` `sqrt-prod`

Counts

4 → 157

Calls

4 calls:

2.0ms	(pow (exp t) t)
58.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (* (cbrt (pow (exp t) t)) (cbrt (pow (exp t) t))) (/ 1 2.0)) (pow (cbrt (pow (exp t) t)) (/ 1 2.0))))
15.0ms	(* (cbrt (pow (exp t) t)) (cbrt (pow (exp t) t)))
18.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(pow (exp t) t)
265.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (* (cbrt (pow (exp t) t)) (cbrt (pow (exp t) t))) (/ 1 2.0)) (pow (cbrt (pow (exp t) t)) (/ 1 2.0))))
149.0ms	(* (cbrt (pow (exp t) t)) (cbrt (pow (exp t) t)))
110.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify86.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	653	2168
1	2442	1910
2	5002	1674

prune571.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

regimes653.0ms

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	37	30
1	37	30

end0.0ms

sample2.4s

Algorithm

intervals

Results

761.0ms	18531×	body	80	nan
746.0ms	18242×	body	80	valid