Details

sample20.0ms

Algorithm

intervals

Results

10.0ms

271×

body

valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
8.9b	(/ x (* (- y z) (- y t)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`flip3--` `*-un-lft-identity` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

8.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
9.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
25.0ms	(* (- y z) (- y t))
58.0ms	(/ x (* (- y z) (- y t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	361	530
1	1551	485
2	5001	485

prune199.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- y z))
0.6b	(cbrt (- y z))
0.6b	(* (cbrt (- y z)) (cbrt (- y z)))
8.9b	(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

178×	`cbrt-div`
140×	`frac-times`
116×	`flip3--` `flip--`
80×	`associate-/r/`
46×	`associate-r/` `associate-l/`
38×	`cbrt-prod`
36×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
24×	`add-exp-log`
16×	`add-cube-cbrt` `add-cbrt-cube`
11×	`pow1`
10×	`swap-sqr`
9×	`prod-exp` `cbrt-unprod`
8×	`pow1/3` `associate-r` `associate-l` `distribute-lft-out--`
6×	`difference-of-squares`
5×	`cbrt-undiv` `div-exp`
4×	`add-log-exp` `unswap-sqr`
3×	`times-frac` `associate-/l*`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 193

Calls

4 calls:

3.0ms	(cbrt (- y z))
3.0ms	(cbrt (- y z))
10.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
30.0ms	(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

series477.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (- y z))
151.0ms	(cbrt (- y z))
124.0ms	(* (cbrt (- y z)) (cbrt (- y z)))
61.0ms	(/ x (* (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- y z)) (- y t))))

simplify113.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (86.0ms)

Iter	Nodes	Cost
0	1028	2392
1	4293	2205
2	5002	2126

prune637.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b	(/ 1 (- y z))
2.0b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

68×	`add-sqr-sqrt`
53×	`*-un-lft-identity`
52×	`times-frac`
31×	`add-cube-cbrt`
29×	`add-exp-log`
21×	`associate-r` `associate-l`
17×	`add-cbrt-cube`
10×	`div-exp` `distribute-lft-out--` `difference-of-squares`
8×	`prod-exp`
6×	`pow1` `associate-/r/` `unswap-sqr`
5×	`cbrt-undiv` `associate-/r*` `add-log-exp`
4×	`flip3--` `flip--` `cbrt-unprod`
3×	`rec-exp` `1-exp` `div-inv` `associate-/l*`
1×	`frac-times` `sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative` `inv-pow`

Counts

3 → 125

Calls

3 calls:

2.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
5.0ms	(/ 1 (- y z))
24.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series226.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
34.0ms	(/ 1 (- y z))
128.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify60.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	549	846
1	2525	741
2	5001	709

prune249.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (/ (- (/ x (- y z))) (- y t)))
0.0b	(/ x (- y z))
2.5b	(/ (- (/ x (- y z))) (- y t))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

425×	`times-frac`
350×	`*-un-lft-identity`
348×	`add-sqr-sqrt`
174×	`add-cube-cbrt`
126×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
87×	`distribute-lft-out--` `difference-of-squares`
49×	`associate-/l*`
28×	`associate-/r/`
14×	`flip3--` `flip--` `div-inv`
10×	`associate-/r*`
7×	`add-exp-log` `add-cbrt-cube`
6×	`neg-mul-1`
5×	`add-log-exp`
3×	`pow1` `distribute-frac-neg`
2×	`cbrt-undiv` `neg-sub0` `frac-2neg` `div-sub` `div-exp` `clear-num`
1×	`+-commutative` `associate-+r-` `flip3-+` `unsub-neg` `sum-log` `flip-+` `associate-/l/` `distribute-neg-frac` `distribute-lft-out`

Counts

3 → 350

Calls

3 calls:

56.0ms	(+ 1.0 (/ (- (/ x (- y z))) (- y t)))
5.0ms	(/ x (- y z))
16.0ms	(/ (- (/ x (- y z))) (- y t))

series163.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(+ 1.0 (/ (- (/ x (- y z))) (- y t)))
27.0ms	(/ x (- y z))
64.0ms	(/ (- (/ x (- y z))) (- y t))

simplify103.0ms

Algorithm

egg-herbie

Counts

359 → 359

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	1198	3767
1	3942	3711
2	5002	3710

prune828.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample444.0ms

Algorithm

intervals

Results

233.0ms

8441×

body

valid