Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

363×

body

valid

simplify122.0ms

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

prune7.0ms

Filtered

1 candidates to 1 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: 2.7b

Counts

2 → 2

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

4.0ms	(+ x (* (- y x) (/ z t)))
9.0ms	(* (- y x) (/ z t))

series97.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(+ x (* (- y x) (/ z t)))
50.0ms	(* (- 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

prune157.0ms

Filtered

62 candidates to 46 candidates (74.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	55	7	62
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	56	8	64

Merged error: 0.0b

Counts

64 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.7b	(cbrt (/ z t))
10.7b	(cbrt (/ z t))
10.7b	(cbrt (/ z t))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
29×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
26×	`add-cube-cbrt`
15×	`cbrt-div`
9×	`pow1` `add-exp-log` `frac-times`
7×	`add-cbrt-cube`
6×	`associate-*r/`
5×	`associate-l` `associate-*l/`
4×	`expm1-log1p-u` `flip3--` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `pow-prod-down` `prod-exp` `cbrt-unprod` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 106

Calls

4 calls:

13.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
3.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series342.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
71.0ms	(cbrt (/ z t))
67.0ms	(cbrt (/ z t))
72.0ms	(cbrt (/ z t))

simplify93.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	351	805
1	953	733
2	3478	721
3	5001	697

prune590.0ms

Filtered

118 candidates to 93 candidates (78.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	116	2	118
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	119	7	126

Merged error: 0.0b

Counts

126 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (cbrt (/ (cbrt z) (cbrt t))))))
1.7b	(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
10.7b	(cbrt (/ z t))
10.7b	(cbrt (/ z t))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-div`
31×	`cbrt-prod`
29×	`frac-times`
22×	`add-sqr-sqrt` `-un-lft-identity` `associate-r/`
20×	`add-cube-cbrt`
19×	`times-frac`
13×	`pow1` `add-exp-log`
11×	`associate-*l/`
9×	`add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 112

Calls

4 calls:

20.0ms	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (cbrt (/ (cbrt z) (cbrt t))))))
7.0ms	(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
2.0ms	(cbrt (/ z t))
2.0ms	(cbrt (/ z t))

series381.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t)))) (cbrt (/ (cbrt z) (cbrt t))))))
103.0ms	(cbrt (/ (* (cbrt z) (cbrt z)) (* (cbrt t) (cbrt t))))
68.0ms	(cbrt (/ z t))
69.0ms	(cbrt (/ z t))

simplify67.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	528	1580
1	1977	1415
2	5001	1406

prune598.0ms

Filtered

124 candidates to 105 candidates (84.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	124	7	131

Merged error: 0.0b

Counts

131 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

1.1b	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t)))))
2.7b	(cbrt (/ (cbrt z) t))
10.7b	(cbrt (/ z t))
10.7b	(cbrt (/ z t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
39×	`cbrt-div`
36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-cube-cbrt`
29×	`frac-times`
22×	`associate-*r/`
13×	`pow1` `add-exp-log`
11×	`associate-*l/`
9×	`add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `div-inv`
1×	`associate-r` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 129

Calls

4 calls:

22.0ms	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t)))))
3.0ms	(cbrt (/ (cbrt z) t))
2.0ms	(cbrt (/ z t))
3.0ms	(cbrt (/ z t))

series530.0ms

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (- y x) (* (cbrt (/ z t)) (* (cbrt (/ (* (cbrt z) (cbrt z)) 1)) (cbrt (/ (cbrt z) t)))))
200.0ms	(cbrt (/ (cbrt z) t))
72.0ms	(cbrt (/ z t))
67.0ms	(cbrt (/ z t))

simplify69.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	620	1443
1	2165	1307
2	5003	1301

prune700.0ms

Filtered

141 candidates to 123 candidates (87.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	141	7	148

Merged error: 0.0b

Counts

148 → 7

regimes256.0ms

Accuracy

52% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.0b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	21
1	29	21

end0.0ms

sample575.0ms

Algorithm

intervals

Results

296.0ms

10685×

body

valid