Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

357×

body

valid

simplify120.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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	3021	4
12	4541	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: 2.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ x y) (- z t)) t)
6.6b	(* (/ x y) (- z t))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity`
10×	`add-cube-cbrt` `times-frac`
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`
2×	`frac-times` `flip3--` `associate-*r/` `prod-exp` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

2 → 57

Calls

2 calls:

8.0ms	(+ (* (/ x y) (- z t)) t)
9.0ms	(* (/ x y) (- z t))

series84.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ x y) (- z t)) t)
49.0ms	(* (/ x y) (- z t))

simplify34.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	314	342
1	1191	302
2	5002	302

prune186.0ms

Filtered

63 candidates to 43 candidates (68.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	7	64

Merged error: 0b

Counts

64 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z t))
0.5b	(cbrt (- z t))
1.8b	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
5.2b	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div`
98×	`frac-times`
68×	`flip3--` `flip--`
50×	`associate-*r/`
37×	`associate-*l/`
34×	`add-exp-log`
24×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cbrt-cube`
18×	`pow1`
17×	`prod-exp` `cbrt-unprod`
15×	`cbrt-prod` `add-cube-cbrt`
14×	`associate-l`
10×	`times-frac`
9×	`associate-r` `pow-prod-down`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`pow1/3` `*-commutative` `unswap-sqr`
1×	`div-inv`

Counts

4 → 164

Calls

4 calls:

5.0ms	(cbrt (- z t))
5.0ms	(cbrt (- z t))
36.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
31.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

series496.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt (- z t))
177.0ms	(cbrt (- z t))
61.0ms	(* (* (/ x y) (* (cbrt (- z t)) (cbrt (- z t)))) (cbrt (- z t)))
106.0ms	(* (/ x y) (* (cbrt (- z t)) (cbrt (- z t))))

simplify78.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	820	2292
1	2630	2077
2	5001	2021

prune352.0ms

Filtered

176 candidates to 106 candidates (60.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	176	7	183

Merged error: 0b

Counts

183 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.9b	(* (/ (cbrt x) y) (- z t))
3.8b	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
35×	`add-cbrt-cube`
33×	`prod-exp`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`cbrt-unprod`
18×	`div-exp`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 135

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
11.0ms	(* (/ (cbrt x) y) (- z t))
15.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

series589.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt x)
179.0ms	(cbrt x)
154.0ms	(* (/ (cbrt x) y) (- z t))
84.0ms	(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) (- z t)))

simplify84.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	689	1166
1	3520	902
2	5001	763

prune277.0ms

Filtered

147 candidates to 91 candidates (61.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	147	7	154

Merged error: 0b

Counts

154 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.0b	(* (/ x (cbrt y)) (- z t))
4.3b	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log`
46×	`prod-exp`
35×	`add-cbrt-cube`
32×	`add-sqr-sqrt`
29×	`associate-l`
24×	`*-un-lft-identity`
23×	`times-frac`
22×	`add-cube-cbrt`
20×	`div-exp` `cbrt-unprod`
16×	`cbrt-prod`
11×	`pow1` `frac-times` `associate-*r/`
10×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in`
6×	`sub-neg` `rec-exp` `flip3--` `1-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
3×	`unswap-sqr`
2×	`pow1/3` `*-commutative` `div-inv`
1×	`distribute-lft-out--` `difference-of-squares`

Counts

4 → 141

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
11.0ms	(* (/ x (cbrt y)) (- z t))
17.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

series735.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(cbrt y)
178.0ms	(cbrt y)
304.0ms	(* (/ x (cbrt y)) (- z t))
81.0ms	(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) (- z t)))

simplify81.0ms

Algorithm

egg-herbie

Counts

153 → 153

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	688	1266
1	3362	978
2	5001	864

prune266.0ms

Filtered

153 candidates to 96 candidates (62.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	153	7	160

Merged error: 0b

Counts

160 → 7

regimes268.0ms

Accuracy

18.7% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 2.1b

bsearch61.0ms

Steps

Iters	Range		Point
5	1.587999518969796e-210	4.822380580714564e-210	2.283893526220556e-210
9	-9.228524816719849e-33	-2.467727434408496e-39	-1.8646751201505816e-34

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	18
1	34	18

end0.0ms

sample619.0ms

Algorithm

intervals

Results

348.0ms

10658×

body

valid