Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

332×

body

valid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b	(* (* z 3.0) y)
0.2b	(/ y (* z 3.0))
7.5b	(/ t (* (* z 3.0) y))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
23×	`add-exp-log` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
21×	`prod-diff`
15×	`times-frac`
9×	`pow1` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`cbrt-undiv` `fma-def` `div-exp` `div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `frac-add` `clear-num` `associate-/r*` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+l-` `sub-neg` `flip3--` `flip3-+` `diff-log` `associate-l` `*-commutative` `flip--` `flip-+` `difference-of-squares`

Counts

4 → 115

Calls

4 calls:

62.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
10.0ms	(* (* z 3.0) y)
3.0ms	(/ y (* z 3.0))
7.0ms	(/ t (* (* z 3.0) y))

series154.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
21.0ms	(* (* z 3.0) y)
22.0ms	(/ y (* z 3.0))
30.0ms	(/ t (* (* z 3.0) y))

simplify74.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	500	905
1	2477	746
2	5001	698

prune359.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)
2.4b	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
32×	`add-cbrt-cube`
29×	`add-sqr-sqrt`
22×	`associate-r`
21×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
18×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 103

Calls

4 calls:

0.0ms	(cbrt t)
0.0ms	(cbrt t)
1.0ms	(cbrt t)
31.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series610.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt t)
181.0ms	(cbrt t)
181.0ms	(cbrt t)
52.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify88.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	503	876
1	3066	681
2	5001	624

prune580.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
13.3b	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
13.3b	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
13.3b	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
32×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
22×	`associate-r`
21×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `cbrt-prod` `div-exp`
9×	`cbrt-div`
6×	`pow1`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 106

Calls

4 calls:

29.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
20.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
19.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
18.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

series447.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
128.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
132.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
130.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	562	1320
1	3105	1112
2	5001	1029

prune467.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

2.4b	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
13.3b	(cbrt (* (/ (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (* (cbrt y) (cbrt y))) (/ (cbrt t) (cbrt y))))
13.3b	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
13.3b	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
32×	`add-cbrt-cube`
26×	`add-sqr-sqrt`
22×	`associate-r`
21×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `cbrt-prod` `div-exp`
9×	`cbrt-div`
6×	`pow1`
5×	`associate-l`
4×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `unswap-sqr`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 106

Calls

4 calls:

29.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
30.0ms	(cbrt (* (/ (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (* (cbrt y) (cbrt y))) (/ (cbrt t) (cbrt y))))
21.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
18.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

series441.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))
116.0ms	(cbrt (* (/ (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (* (cbrt y) (cbrt y))) (/ (cbrt t) (cbrt y))))
129.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))
135.0ms	(cbrt (* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y)))

simplify92.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	603	1398
1	3258	1180
2	5001	1047

prune561.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes252.0ms

Accuracy

87.6% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch102.0ms

Steps

Iters	Range		Point
6	5.443262652829599e-10	8.455209092704733e-09	2.7803806663622133e-09
9	-15640006985.087824	-238.82950093874626	-3097409.717549644

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	21
1	40	21

end0.0ms

sample643.0ms

Algorithm

intervals

Results

362.0ms

11131×

body

valid

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7

Iter	Nodes	Cost
0	24	7
1	54	7
2	92	7
3	142	7
4	192	7
5	238	7
6	255	7
7	286	7
8	330	7
9	427	7
10	455	7
11	518	7
12	595	7
13	803	7
14	807	7
15	807	7