Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

339×

body

valid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	14	4
1	27	3
2	62	3
3	112	3
4	170	3
5	213	3
6	260	3
7	450	3
8	845	3
9	1532	3
10	3138	3
11	4587	3
12	5001	3

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (/ z t)))
5.2b	(* (- y x) (/ z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
11×	`add-cube-cbrt`
10×	`times-frac`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`pow1` `add-log-exp`
3×	`fma-def`
2×	`expm1-log1p-u` `frac-times` `flip3--` `associate-*l/` `prod-exp` `flip--` `cbrt-unprod` `log1p-expm1-u` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `associate-r/` `div-exp` `pow-prod-down` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 56

Calls

2 calls:

3.0ms	(+ x (* (- y x) (/ z t)))
16.0ms	(* (- y x) (/ z t))

series91.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ x (* (- y x) (/ z t)))
48.0ms	(* (- y x) (/ z t))

simplify45.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	306	327
1	1283	301
2	5002	286

prune154.0ms

Pruning

7 alts after pruning (6 fresh and 1 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)
2.2b	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
31.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series645.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt t)
185.0ms	(cbrt t)
184.0ms	(cbrt t)
86.0ms	(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify70.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	459	851
1	2238	696
2	5001	661

prune364.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (cbrt (/ (- y x) (* (cbrt t) (cbrt t))))) (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t))))
3.5b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
3.5b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
3.5b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod` `cbrt-div`
25×	`add-exp-log`
17×	`frac-times`
16×	`pow1` `add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
13×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
11×	`associate-r/` `associate-l/`
10×	`add-cube-cbrt`
8×	`pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `div-exp`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 103

Calls

4 calls:

58.0ms	(* (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (cbrt (/ (- y x) (* (cbrt t) (cbrt t))))) (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t))))
5.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
5.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
5.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

series1.3s

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (cbrt (/ (- y x) (* (cbrt t) (cbrt t))))) (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t))))
416.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
411.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
411.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

simplify59.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	441	1855
1	1423	1492
2	5001	1369

prune410.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b	(* (* (* (cbrt (/ 1 (cbrt t))) (cbrt (/ (- y x) (cbrt t)))) (cbrt (/ (- y x) (* (cbrt t) (cbrt t))))) (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t))))
1.8b	(cbrt (/ (- y x) (cbrt t)))
3.5b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
3.5b	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

rewrite218.0ms

Algorithm

rewrite-expression-head

Rules

67×	`cbrt-prod` `cbrt-div`
49×	`frac-times`
41×	`add-sqr-sqrt` `*-un-lft-identity`
40×	`add-exp-log` `times-frac`
35×	`associate-*l/`
25×	`pow1` `add-cube-cbrt`
24×	`prod-exp` `cbrt-unprod`
23×	`associate-*r/`
19×	`add-cbrt-cube`
15×	`pow-prod-down`
8×	`distribute-lft-out--` `difference-of-squares`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `div-exp` `div-inv`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 152

Calls

4 calls:

195.0ms	(* (* (* (cbrt (/ 1 (cbrt t))) (cbrt (/ (- y x) (cbrt t)))) (cbrt (/ (- y x) (* (cbrt t) (cbrt t))))) (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t))))
4.0ms	(cbrt (/ (- y x) (cbrt t)))
5.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
5.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

series1.2s

Counts

4 → 12

Calls

4 calls:

96.0ms	(* (* (* (cbrt (/ 1 (cbrt t))) (cbrt (/ (- y x) (cbrt t)))) (cbrt (/ (- y x) (* (cbrt t) (cbrt t))))) (* (cbrt (/ (- y x) (* (cbrt t) (cbrt t)))) (/ z (cbrt t))))
315.0ms	(cbrt (/ (- y x) (cbrt t)))
406.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))
419.0ms	(cbrt (/ (- y x) (* (cbrt t) (cbrt t))))

simplify112.0ms

Algorithm

egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 2 (83.0ms)

Iter	Nodes	Cost
0	807	2927
1	2987	2618
2	5003	2598

prune712.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes246.0ms

Accuracy

-53.6% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 2.2b

bsearch88.0ms

Steps

Iters	Range		Point
8	-6.994196683941643e-239	-4.067333298773334e-243	-2.0780948440753943e-240
9	-5.7344741893021296e-61	-2.1671296354575485e-70	-2.8324523097038337e-70

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	19
1	33	19

end0.0ms

sample555.0ms

Algorithm

intervals

Results

282.0ms

10619×

body

valid