Details

sample27.0ms

Algorithm

intervals

Results

9.0ms	232×	body	80	valid
2.0ms	17×	body	640	valid
2.0ms	9×	body	1280	valid
1.0ms	11×	body	320	valid
1.0ms	8×	body	160	valid
0.0ms	1×	body	2560	valid

simplify118.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	6
1	52	6
2	109	6
3	195	6
4	445	6
5	828	6
6	1434	6
7	2520	6
8	4830	6
9	5001	6

prune3.0ms

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: 18.5b

Counts

2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- z t) y)
2.2b	(- (+ x y) (/ (* (- z t) y) (- a t)))
14.6b	(/ (* (- z t) y) (- a t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

6.0ms	(* (- z t) y)
10.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms	(/ (* (- z t) y) (- a t))

series196.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(* (- z t) y)
106.0ms	(- (+ x y) (/ (* (- z t) y) (- a t)))
63.0ms	(/ (* (- z t) y) (- a t))

simplify44.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	383	461
1	1704	422
2	5001	422

prune194.0ms

Filtered

79 candidates to 56 candidates (70.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	68	11	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	11	80

Merged error: 5.0b

Counts

80 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (- a t))
0.5b	(* (cbrt (- a t)) (cbrt (- a t)))
3.8b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
8.1b	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
54×	`*-un-lft-identity`
50×	`cbrt-prod`
38×	`associate-r`
36×	`times-frac`
30×	`add-cube-cbrt`
28×	`cbrt-div`
27×	`add-exp-log`
25×	`associate-l`
18×	`add-cbrt-cube`
15×	`flip3--` `flip--`
13×	`pow1`
11×	`frac-times` `distribute-lft-out--`
10×	`swap-sqr` `associate-/r/` `unswap-sqr`
9×	`prod-exp` `cbrt-unprod` `add-log-exp` `difference-of-squares`
7×	`cbrt-undiv` `pow1/3` `associate-r/` `div-exp` `associate-l/`
6×	`frac-sub`
3×	`flip3-+` `pow-prod-down` `flip-+`
2×	`diff-log` `pow-sqr` `*-commutative` `pow-prod-up` `div-inv`
1×	`pow2` `sub-neg` `pow-plus` `associate--l+` `sum-log`

Counts

4 → 168

Calls

4 calls:

3.0ms	(cbrt (- a t))
15.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
29.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
6.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series470.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(cbrt (- a t))
122.0ms	(* (cbrt (- a t)) (cbrt (- a t)))
96.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
111.0ms	(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify123.0ms

Algorithm

egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 2 (104.0ms)

Iter	Nodes	Cost
0	886	2068
1	4326	1890
2	5003	1779

prune536.0ms

Filtered

180 candidates to 125 candidates (69.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	171	9	180
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	175	16	191

Merged error: 5.0b

Counts

191 → 16

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
8.8b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log`
32×	`cbrt-div`
22×	`add-sqr-sqrt` `add-cbrt-cube`
19×	`frac-times`
17×	`associate-l`
16×	`times-frac` `associate-r` `associate-/r/`
15×	`associate-*l/` `prod-exp` `cbrt-unprod`
14×	`frac-sub`
13×	`flip3--` `flip--`
12×	`cbrt-undiv` `*-un-lft-identity` `div-exp`
11×	`associate-*r/`
10×	`add-cube-cbrt`
9×	`cbrt-prod` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `unswap-sqr`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 119

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
31.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
7.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series819.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(cbrt y)
187.0ms	(cbrt y)
287.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
170.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify118.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (97.0ms)

Iter	Nodes	Cost
0	995	2863
1	4394	2493
2	5001	2438

prune600.0ms

Filtered

131 candidates to 100 candidates (76.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	0	15	15
Picked	1	0	1
Done	0	0	0
Total	130	17	147

Merged error: 5.0b

Counts

147 → 17

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.8b	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t))))))
8.8b	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-exp-log`
39×	`add-cbrt-cube`
36×	`cbrt-div`
32×	`prod-exp` `cbrt-unprod`
22×	`cbrt-undiv` `div-exp`
19×	`frac-times`
17×	`add-sqr-sqrt` `associate-l`
16×	`associate-/r/`
15×	`associate-*l/`
14×	`frac-sub`
13×	`flip3--` `associate-r` `flip--`
11×	`-un-lft-identity` `associate-r/`
10×	`times-frac`
9×	`add-cube-cbrt` `add-log-exp`
7×	`flip3-+` `flip-+`
6×	`pow1` `cbrt-prod`
4×	`unswap-sqr`
2×	`pow1/3` `diff-log` `div-inv`
1×	`sub-neg` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 126

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
36.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t))))))
7.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series832.0ms

Counts

4 → 12

Calls

4 calls:

187.0ms	(cbrt y)
181.0ms	(cbrt y)
292.0ms	(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t))))))
171.0ms	(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (* (cbrt (cbrt (- a t))) (cbrt (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify47.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (24.0ms)

Iter	Nodes	Cost
0	1077	3236
1	5001	2555

prune696.0ms

Filtered

138 candidates to 104 candidates (75.4%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	1	15	16
Picked	1	0	1
Done	0	0	0
Total	139	16	155

Merged error: 4.8b

Counts

155 → 16

regimes368.0ms

Accuracy

16% (6.1b remaining)

Error of 10.0b against oracle of 4.0b and baseline of 11.2b

bsearch92.0ms

Steps

Iters	Range		Point
7	1.401252225877186e-238	2.3193576952725565e-237	2.2998594114692663e-237
8	-3.366626094613253e-242	-1.9014722972154457e-246	-2.8934402706637087e-243

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	30
1	37	30

end0.0ms

sample728.0ms

Algorithm

intervals

Results

285.0ms	7308×	body	80	valid
66.0ms	469×	body	640	valid
45.0ms	243×	body	1280	valid
44.0ms	411×	body	320	valid
21.0ms	260×	body	160	valid
2.0ms	11×	body	2560	valid

Details

sample27.0ms

simplify118.0ms

prune3.0ms

localize11.0ms

rewrite27.0ms

series196.0ms

simplify44.0ms

prune194.0ms

localize13.0ms

rewrite61.0ms

series470.0ms

simplify123.0ms

prune536.0ms

localize21.0ms

rewrite46.0ms

series819.0ms

simplify118.0ms

prune600.0ms

localize27.0ms

rewrite52.0ms

series832.0ms

simplify47.0ms

prune696.0ms

regimes368.0ms

bsearch92.0ms

simplify2.0ms

end0.0ms

sample728.0ms

Profiling