Details

sample81.0ms

Algorithm

intervals

Results

40.0ms

514×

body

valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	67	15
1	225	13
2	823	12
3	3028	12
4	5001	12

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
4.4b	(* (* (* x 18.0) y) z)
6.2b	(* (* (* (* x 18.0) y) z) t)

rewrite294.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-l` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
18.0ms	(* (* j 27.0) k)
59.0ms	(* (* (* x 18.0) y) z)
196.0ms	(* (* (* (* x 18.0) y) z) t)

series103.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
16.0ms	(* (* j 27.0) k)
27.0ms	(* (* (* x 18.0) y) z)
41.0ms	(* (* (* (* x 18.0) y) z) t)

simplify70.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	368	453
1	2149	350
2	5001	350

prune524.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.3b	(* j (* 27.0 k))
4.4b	(* (* (* x 18.0) y) z)
6.2b	(* (* (* (* x 18.0) y) z) t)

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

17.0ms	(* (* x 18.0) y)
16.0ms	(* j (* 27.0 k))
54.0ms	(* (* (* x 18.0) y) z)
180.0ms	(* (* (* (* x 18.0) y) z) t)

series100.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* (* x 18.0) y)
16.0ms	(* j (* 27.0 k))
24.0ms	(* (* (* x 18.0) y) z)
43.0ms	(* (* (* (* x 18.0) y) z) t)

simplify68.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	360	452
1	2038	349
2	5002	349

prune532.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (* 18.0 y))
0.3b	(* j (* 27.0 k))
4.4b	(* (* x (* 18.0 y)) z)
6.2b	(* (* (* x (* 18.0 y)) z) t)

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-exp-log` `add-cbrt-cube`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`

Counts

4 → 89

Calls

4 calls:

17.0ms	(* x (* 18.0 y))
16.0ms	(* j (* 27.0 k))
46.0ms	(* (* x (* 18.0 y)) z)
150.0ms	(* (* (* x (* 18.0 y)) z) t)

series103.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(* x (* 18.0 y))
16.0ms	(* j (* 27.0 k))
27.0ms	(* (* x (* 18.0 y)) z)
41.0ms	(* (* (* x (* 18.0 y)) z) t)

simplify62.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	358	452
1	1815	349
2	5002	349

prune536.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
1.3b	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
4.4b	(* (* (* x 18.0) y) z)
5.1b	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

rewrite955.0ms

Algorithm

rewrite-expression-head

Rules

87×	`pow1` `add-exp-log`
63×	`pow-prod-down` `prod-exp` `cbrt-unprod`
62×	`add-cbrt-cube`
10×	`associate-r`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `*-commutative`
1×	`pow1/3`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt t)
703.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
52.0ms	(* (* (* x 18.0) y) z)
193.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

series408.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt t)
63.0ms	(* (* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t))) (cbrt t))
27.0ms	(* (* (* x 18.0) y) z)
143.0ms	(* (* (* (* x 18.0) y) z) (* (cbrt t) (cbrt t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	451	1089
1	2600	745
2	5001	674

prune938.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.3b

regimes1.7s

Accuracy

39.9% (2.9b remaining)

Error of 3.8b against oracle of 0.9b and baseline of 5.7b

bsearch264.0ms

Steps

Iters	Range		Point
7	3.3653854816588295e-56	1.8790661962736743e-54	1.3773281398542432e-54
5	-2.0261800176362883e+26	-8.99819335306948e+25	-1.6104066435435267e+26

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	78	50
1	78	50

end0.0ms

sample2.0s

Algorithm

intervals

Results

1.2s

15983×

body

valid