Details

sample88.0ms

Algorithm

intervals

Results

23.0ms	580×	body	80	valid
22.0ms	509×	body	80	nan

simplify79.0ms

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

localize13.0ms

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)))

rewrite146.0ms

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:

9.0ms	(/ (* t t) 2.0)
5.0ms	(exp (/ (* t t) 2.0))
92.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
38.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series280.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* t t) 2.0)
20.0ms	(exp (/ (* t t) 2.0))
143.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
95.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify51.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (44.0ms)

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

prune283.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)))

rewrite134.0ms

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:

6.0ms	(pow (exp t) (/ t 2.0))
90.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
36.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series312.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(pow (exp t) (/ t 2.0))
172.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (pow (exp t) (/ t 2.0)))
93.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (55.0ms)

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

prune293.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
0.0b	(pow (pow (exp t) (/ t 2.0)) 3)
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

40×	`cbrt-prod`
39×	`unpow-prod-down`
27×	`associate-r`
24×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `*-un-lft-identity`
21×	`cube-prod`
12×	`add-exp-log`
11×	`pow1`
10×	`add-cbrt-cube`
9×	`sqr-pow`
6×	`associate-*l/`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`cube-mult` `pow-unpow` `unpow3`
2×	`pow-to-exp` `flip3--` `*-commutative` `flip--`
1×	`pow-pow` `pow1/3` `sqrt-prod` `rem-cbrt-cube` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

7.0ms	(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
103.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
7.0ms	(pow (pow (exp t) (/ t 2.0)) 3)
39.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series389.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(cbrt (pow (pow (exp t) (/ t 2.0)) 3))
172.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (cbrt (pow (pow (exp t) (/ t 2.0)) 3)))
77.0ms	(pow (pow (exp t) (/ t 2.0)) 3)
94.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify80.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	577	1144
1	2380	1063
2	5001	1048

prune427.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp t) (/ (/ t 2.0) 2))
0.0b	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
0.0b	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
0.3b	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
65×	`add-sqr-sqrt`
58×	`prod-exp`
56×	`add-exp-log`
51×	`add-cube-cbrt` `*-un-lft-identity`
43×	`pow-unpow`
21×	`unpow-prod-down`
20×	`add-cbrt-cube`
19×	`pow-to-exp` `pow-exp`
12×	`pow1` `associate-r`
11×	`associate-l` `sqr-pow`
10×	`cbrt-unprod` `unswap-sqr`
7×	`swap-sqr`
6×	`associate-*l/`
5×	`pow-prod-down`
4×	`expm1-log1p-u` `pow-pow` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`exp-prod` `*-commutative`
2×	`flip3--` `flip--`
1×	`pow2` `sqrt-prod` `pow-sqr` `pow-prod-up`

Counts

4 → 179

Calls

4 calls:

10.0ms	(pow (exp t) (/ (/ t 2.0) 2))
26.0ms	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
117.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
37.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(pow (exp t) (/ (/ t 2.0) 2))
61.0ms	(* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2)))
193.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (* (pow (exp t) (/ (/ t 2.0) 2)) (pow (exp t) (/ (/ t 2.0) 2))))
96.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify95.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	921	1803
1	3781	1521
2	5003	1454

prune547.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes398.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	15
1	22	15

end0.0ms

sample2.7s

Algorithm

intervals

Results

750.0ms	17980×	body	80	valid
720.0ms	17954×	body	80	nan