Details

sample22.0ms

Algorithm

intervals

Results

10.0ms

325×

body

valid

simplify107.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	25	4
2	45	4
3	84	4
4	125	4
5	149	4
6	170	4
7	284	4
8	491	4
9	824	4
10	1344	4
11	2576	4
12	3873	4
13	5001	4

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 5.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* y (- z x)) t))
0.0b	(* y (- z x))
6.1b	(/ (* y (- z x)) t)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 61

Calls

3 calls:

4.0ms	(+ x (/ (* y (- z x)) t))
6.0ms	(* y (- z x))
7.0ms	(/ (* y (- z x)) t)

series118.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ x (/ (* y (- z x)) t))
37.0ms	(* y (- z x))
47.0ms	(/ (* y (- z x)) t)

simplify40.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	290	325
1	1223	280
2	5001	280

prune131.0ms

Filtered

70 candidates to 45 candidates (64.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	64	6	70
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	64	7	71

Merged error: 0.0b

Counts

71 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.5b	(cbrt t)
3.3b	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt`
40×	`times-frac`
38×	`*-un-lft-identity`
34×	`associate-r`
26×	`cbrt-prod` `add-cube-cbrt`
25×	`add-exp-log`
18×	`add-cbrt-cube`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`pow1` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
1.0ms	(cbrt t)
18.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series614.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt t)
172.0ms	(cbrt t)
172.0ms	(cbrt t)
94.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	480	918
1	2615	741
2	5001	706

prune302.0ms

Filtered

116 candidates to 88 candidates (75.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	116	7	123

Merged error: 0.0b

Counts

123 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt t)
0.5b	(cbrt t)
0.6b	(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))
1.4b	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

115×	`add-sqr-sqrt`
94×	`times-frac`
85×	`add-exp-log`
77×	`cbrt-prod`
63×	`*-un-lft-identity`
51×	`add-cube-cbrt`
50×	`associate-l`
41×	`add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
35×	`associate-r`
26×	`cbrt-undiv` `div-exp`
15×	`unswap-sqr`
11×	`pow1`
6×	`frac-times` `associate-*r/` `distribute-lft-out--` `difference-of-squares`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`div-inv`
2×	`pow1/3` `*-commutative`

Counts

4 → 189

Calls

4 calls:

1.0ms	(cbrt t)
1.0ms	(cbrt t)
31.0ms	(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))
19.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

series651.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt t)
177.0ms	(cbrt t)
234.0ms	(* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t)))
53.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (cbrt t)) (/ (- z x) (cbrt t))))

simplify108.0ms

Algorithm

egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	890	2266
1	4178	1891
2	5002	1757

prune602.0ms

Filtered

201 candidates to 141 candidates (70.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	200	1	201
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	200	8	208

Merged error: 0b

Counts

208 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
0.6b	(cbrt (cbrt t))
1.4b	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))) (/ (- z x) (cbrt t))))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

157×	`add-exp-log`
78×	`prod-exp` `cbrt-unprod`
67×	`add-cbrt-cube`
48×	`cbrt-undiv` `div-exp`
30×	`cbrt-prod`
13×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
9×	`pow1`
6×	`times-frac`
5×	`frac-times` `associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `associate-*l/`
1×	`associate-r` `*-commutative` `div-inv`

Counts

4 → 124

Calls

4 calls:

2.0ms	(cbrt (cbrt t))
2.0ms	(cbrt (cbrt t))
2.0ms	(cbrt (cbrt t))
32.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))) (/ (- z x) (cbrt t))))

series803.0ms

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (cbrt t))
243.0ms	(cbrt (cbrt t))
255.0ms	(cbrt (cbrt t))
55.0ms	(* (/ (* (cbrt y) (cbrt y)) (cbrt t)) (* (/ (cbrt y) (* (* (cbrt (cbrt t)) (cbrt (cbrt t))) (cbrt (cbrt t)))) (/ (- z x) (cbrt t))))

simplify92.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	679	2550
1	3056	1616
2	5001	1212

prune320.0ms

Filtered

136 candidates to 74 candidates (54.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	136	8	144

Merged error: 0b

Counts

144 → 8

regimes393.0ms

Accuracy

64.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 2.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	16
1	24	16

end0.0ms

sample566.0ms

Algorithm

intervals

Results

291.0ms

10675×

body

valid