Details

sample21.0ms

Algorithm

intervals

Results

8.0ms

285×

body

valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	20	5
1	36	4
2	59	4
3	103	4
4	173	4
5	236	4
6	265	4
7	311	4
8	375	4
9	511	4
10	674	4
11	1179	4
12	1300	4
13	1308	4
14	1308	4

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.8b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
13.0ms	(/ (- z t) (- a t))
27.0ms	(* y (/ (- z t) (- a t)))

series218.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(+ x (* y (/ (- z t) (- a t))))
55.0ms	(/ (- z t) (- a t))
77.0ms	(* y (/ (- z t) (- a t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730

prune362.0ms

Filtered

131 candidates to 92 candidates (70.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(cbrt (- z t))
0.6b	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log`
18×	`add-sqr-sqrt` `cbrt-div`
15×	`cbrt-prod` `*-un-lft-identity`
14×	`add-cbrt-cube`
13×	`associate-r`
9×	`add-cube-cbrt` `flip3--` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-/r/`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-r/` `associate-l*` `distribute-lft-out--` `difference-of-squares`
2×	`times-frac` `associate-*l/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

5.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
2.0ms	(cbrt (- z t))
51.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

series702.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (- z t))
171.0ms	(cbrt (- z t))
170.0ms	(cbrt (- z t))
189.0ms	(* y (/ (* (cbrt (- z t)) (cbrt (- z t))) (* (cbrt (- a t)) (cbrt (- a t)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	530	989
1	1994	866
2	5002	823

prune450.0ms

Filtered

103 candidates to 82 candidates (79.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.3b	(* y (/ (- z t) (- a t)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

77×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
28×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `associate-l` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 122

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
17.0ms	(/ (- z t) (- a t))
26.0ms	(* y (/ (- z t) (- a t)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(+ x (* y (/ (- z t) (- a t))))
61.0ms	(/ (- z t) (- a t))
73.0ms	(* y (/ (- z t) (- a t)))

simplify61.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	433	776
1	1705	730
2	5002	730

prune395.0ms

Filtered

131 candidates to 92 candidates (70.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.3b	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
4.5b	(cbrt (/ (- z t) (- a t)))
4.5b	(cbrt (/ (- z t) (- a t)))
4.5b	(cbrt (/ (- z t) (- a t)))

rewrite247.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
38×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
15×	`cbrt-div`
13×	`pow1` `add-exp-log`
10×	`associate-*r/`
9×	`add-cbrt-cube`
6×	`pow-prod-down` `prod-exp` `associate-/r/` `cbrt-unprod`
5×	`frac-times` `associate-*l/`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `associate-l` `flip--` `div-inv`
1×	`associate-r` `*-commutative`

Counts

4 → 156

Calls

4 calls:

221.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))
6.0ms	(cbrt (/ (- z t) (- a t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

77.0ms	(* y (* (* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t)))) (cbrt (/ (- z t) (- a t)))))
354.0ms	(cbrt (/ (- z t) (- a t)))
356.0ms	(cbrt (/ (- z t) (- a t)))
358.0ms	(cbrt (/ (- z t) (- a t)))

simplify127.0ms

Algorithm

egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	449	1871
1	1173	1741
2	4501	1636
3	5001	1636

prune630.0ms

Filtered

168 candidates to 121 candidates (72.0%)

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes284.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	19
1	19	19

end0.0ms

sample529.0ms

Algorithm

intervals

Results

271.0ms	8741×	body	80	valid
0.0ms	2×	body	640	valid