Details

sample79.0ms

Algorithm

intervals

Results

22.0ms	555×	body	80	nan
22.0ms	527×	body	80	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	9
1	41	9
2	88	9
3	165	9
4	287	9
5	625	9
6	2014	9
7	5002	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

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)))

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×	`associate-l` `pow-prod-down`
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 → 77

Calls

4 calls:

2.0ms	(exp (/ (* t t) 2.0))
3.0ms	(/ (* t t) 2.0)
38.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
17.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

series314.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(exp (/ (* t t) 2.0))
25.0ms	(/ (* t t) 2.0)
161.0ms	(* (* (- (* x 0.5) y) (sqrt (* z 2.0))) (exp (/ (* t t) 2.0)))
106.0ms	(* (- (* x 0.5) y) (sqrt (* z 2.0)))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	443	614
1	1819	523
2	5001	520

prune259.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* t t) (* (cbrt 2.0) (cbrt 2.0)))
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)
1.0b	(cbrt 2.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

6.0ms	(/ (* t t) (* (cbrt 2.0) (cbrt 2.0)))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series98.0ms

Counts

4 → 6

Calls

4 calls:

98.0ms	(/ (* t t) (* (cbrt 2.0) (cbrt 2.0)))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	150	267
1	676	214
2	3177	197
3	5002	197

prune211.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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))

rewrite115.0ms

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×	`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 → 91

Calls

4 calls:

3.0ms	(/ (* t t) 2.0)
77.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
12.0ms	(* (- (* x 0.5) y) (sqrt z))
21.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

series416.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* t t) 2.0)
195.0ms	(* (* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0)) (exp (/ (* t t) 2.0)))
63.0ms	(* (- (* x 0.5) y) (sqrt z))
133.0ms	(* (* (- (* x 0.5) y) (sqrt z)) (sqrt 2.0))

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	474	814
1	2310	687
2	5001	683

prune274.0ms

Pruning

7 alts after pruning (6 fresh and 1 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)

rewrite7.0ms

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` `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 → 54

Calls

4 calls:

4.0ms	(/ t (* (cbrt 2.0) (cbrt 2.0)))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
1.0ms	(cbrt 2.0)

series100.0ms

Counts

4 → 6

Calls

4 calls:

99.0ms	(/ t (* (cbrt 2.0) (cbrt 2.0)))
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)
0.0ms	(cbrt 2.0)

simplify100.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 4 (96.0ms)

Iter	Nodes	Cost
0	104	237
1	321	212
2	1000	204
3	4498	204
4	5001	201

prune211.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes501.0ms

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	22	14
1	22	14

end0.0ms

sample2.3s

Algorithm

intervals

Results

737.0ms	17647×	body	80	valid
735.0ms	17779×	body	80	nan