Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

352×

body

valid

simplify160.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	31	4
2	57	4
3	91	4
4	117	4
5	136	4
6	158	4
7	212	4
8	421	4
9	880	4
10	1752	4
11	3019	4
12	4537	4
13	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 1.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
4.3b	(* (/ x y) (- z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

22.0ms	(+ (* (/ x y) (- z t)) t)
11.0ms	(* (/ x y) (- z t))

series96.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (/ x y) (- z t)) t)
57.0ms	(* (/ x y) (- z t))

simplify72.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	476	530
1	2149	491
2	5001	491

prune145.0ms

Filtered

89 candidates to 61 candidates (31.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	5	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(* (cbrt y) (cbrt y))
0.8b	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

5952×	`add-sqr-sqrt`
4482×	`cbrt-prod`
4419×	`frac-times`
2340×	`associate-/r` `associate-/l`
2090×	`*-un-lft-identity`
2088×	`add-cube-cbrt`
1943×	`unswap-sqr`
1679×	`associate-l`
1583×	`times-frac`
1122×	`swap-sqr`
966×	`associate-r`
928×	`flip3--` `flip--`
927×	`associate-*l/`
600×	`add-cbrt-cube`
530×	`cbrt-unprod`
261×	`*-commutative`
254×	`cbrt-undiv`
222×	`frac-2neg` `clear-num`
163×	`associate-*r/`
75×	`add-exp-log`
38×	`prod-exp`
17×	`div-exp`
16×	`pow1`
8×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
5×	`pow-prod-down`
4×	`sub-neg` `add-log-exp`
2×	`pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 4317

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
6.0ms	(* (cbrt y) (cbrt y))
618.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

series666.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt y)
195.0ms	(cbrt y)
216.0ms	(* (cbrt y) (cbrt y))
68.0ms	(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) (- z t)))

simplify890.0ms

Algorithm

egg-herbie

Counts

4329 → 4329

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5002	96069

prune11.5s

Filtered

4329 candidates to 2658 candidates (38.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	4327	2	4329
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	4328	6	4334

Merged error: 0.0b

Counts

4334 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt (cbrt x))
0.6b	(cbrt (* (cbrt x) (cbrt x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
6×	`swap-sqr` `associate-r` `associate-l`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
1×	`*-commutative`

Counts

4 → 71

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt (cbrt x))
7.0ms	(cbrt (* (cbrt x) (cbrt x)))

series942.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt y)
205.0ms	(cbrt y)
257.0ms	(cbrt (cbrt x))
285.0ms	(cbrt (* (cbrt x) (cbrt x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	163	447
1	414	427
2	1565	390
3	5001	390

prune289.0ms

Filtered

83 candidates to 63 candidates (24.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0.0b

Counts

89 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt x))
0.7b	(cbrt (* (cbrt y) (cbrt y)))
0.7b	(cbrt (* (cbrt y) (cbrt y)))
0.7b	(cbrt (* (cbrt y) (cbrt y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

138×	`cbrt-prod`
57×	`add-sqr-sqrt`
33×	`add-cube-cbrt` `*-un-lft-identity`
18×	`swap-sqr` `associate-r` `associate-l`
12×	`unswap-sqr`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`*-commutative`

Counts

4 → 119

Calls

4 calls:

2.0ms	(cbrt (cbrt x))
7.0ms	(cbrt (* (cbrt y) (cbrt y)))
6.0ms	(cbrt (* (cbrt y) (cbrt y)))
7.0ms	(cbrt (* (cbrt y) (cbrt y)))

series1.1s

Counts

4 → 12

Calls

4 calls:

254.0ms	(cbrt (cbrt x))
288.0ms	(cbrt (* (cbrt y) (cbrt y)))
281.0ms	(cbrt (* (cbrt y) (cbrt y)))
287.0ms	(cbrt (* (cbrt y) (cbrt y)))

simplify184.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	149	959
1	355	927
2	1342	844
3	4923	844
4	5001	844

prune401.0ms

Filtered

131 candidates to 89 candidates (32.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	131	6	137

Merged error: 0.0b

Counts

137 → 6

regimes174.0ms

Accuracy

0% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	14
1	17	14

end0.0ms

sample562.0ms

Algorithm

intervals

Results

290.0ms

10657×

body

valid