Details

sample32.0ms

Algorithm

intervals

Results

10.0ms

273×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	293	11
1	293	11

prune12.0ms

Filtered

1 candidates to 1 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: 0.0b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- a t))))
0.0b	(/ (- z t) (- a t))
2.0b	(* y (/ (- z t) (- a t)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 113

Calls

3 calls:

3.0ms	(+ x (* y (/ (- z t) (- a t))))
8.0ms	(/ (- z t) (- a t))
14.0ms	(* y (/ (- z t) (- a t)))

series54.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ x (* y (/ (- z t) (- a t))))
9.0ms	(/ (- z t) (- a t))
19.0ms	(* y (/ (- z t) (- a t)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5292	1368

prune131.0ms

Filtered

82 candidates to 122 candidates (-48.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	115	7	122
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Merged error: 0b

Counts

124 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
3.9b	(cbrt (/ (- z t) (- a t)))
3.9b	(cbrt (/ (- z t) (- a t)))
3.9b	(cbrt (/ (- z t) (- a t)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 276

Calls

4 calls:

39.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))
7.0ms	(cbrt (/ (- z t) (- a t)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(* (cbrt (/ (- z t) (- a t))) (cbrt (/ (- z t) (- a t))))
59.0ms	(cbrt (/ (- z t) (- a t)))
58.0ms	(cbrt (/ (- z t) (- a t)))
63.0ms	(cbrt (/ (- z t) (- a t)))

simplify66.0ms

Algorithm

egg-herbie

Counts

288 → 288

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4997	5642
1	4997	5642

prune250.0ms

Filtered

182 candidates to 288 candidates (-58.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	288	0	288
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	288	8	296

Merged error: 0b

Counts

296 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt y)
0.5b	(* (cbrt y) (cbrt y))
0.7b	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
1.6b	(* (/ (- z t) (- a t)) (cbrt y))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
38×	`associate-l`
32×	`add-exp-log`
27×	`times-frac`
26×	`add-cube-cbrt`
25×	`pow1`
24×	`cbrt-prod`
18×	`add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
13×	`associate-r`
11×	`pow-prod-down`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`unswap-sqr`
7×	`pow1/3`
6×	`swap-sqr`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `*-commutative`
2×	`associate-*l/` `associate-/r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `flip3--` `pow-plus` `associate-*r/` `flip--` `div-inv`

Counts

4 → 133

Calls

4 calls:

1.0ms	(cbrt y)
5.0ms	(* (cbrt y) (cbrt y))
16.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
14.0ms	(* (/ (- z t) (- a t)) (cbrt y))

series107.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt y)
25.0ms	(* (cbrt y) (cbrt y))
19.0ms	(* (* (cbrt y) (cbrt y)) (* (/ (- z t) (- a t)) (cbrt y)))
40.0ms	(* (/ (- z t) (- a t)) (cbrt y))

simplify42.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5133	1206

prune124.0ms

Filtered

88 candidates to 145 candidates (-64.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	145	8	153

Merged error: 0b

Counts

153 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (- z t)) (/ 1 (- a t))))
0.0b	(/ 1 (- a t))
0.0b	(* y (- z t))
10.5b	(* (* y (- z t)) (/ 1 (- a t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`times-frac`
26×	`associate-r`
25×	`add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`prod-exp`
12×	`pow1`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`associate-*r/` `cbrt-unprod`
6×	`div-exp` `add-log-exp`
5×	`flip3--` `associate-/r*` `flip--`
4×	`associate-l` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*`
2×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `associate-l/` `-commutative` `div-inv`
1×	`+-commutative` `pow-flip` `frac-2neg` `flip3-+` `clear-num` `sum-log` `un-div-inv` `flip-+` `inv-pow` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

3.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
5.0ms	(/ 1 (- a t))
6.0ms	(* y (- z t))
13.0ms	(* (* y (- z t)) (/ 1 (- a t)))

series56.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (* (* y (- z t)) (/ 1 (- a t))))
4.0ms	(/ 1 (- a t))
7.0ms	(* y (- z t))
18.0ms	(* (* y (- z t)) (/ 1 (- a t)))

simplify27.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5031	1261

prune103.0ms

Filtered

81 candidates to 140 candidates (-72.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	140	8	148

Merged error: 0b

Counts

148 → 8

regimes408.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample769.0ms

Algorithm

intervals

Results

304.0ms	8707×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid
0.0ms	1×	body	640	valid

Details

sample32.0ms

simplify9.0ms

prune12.0ms

localize8.0ms

rewrite29.0ms

series54.0ms

simplify50.0ms

prune131.0ms

localize12.0ms

rewrite81.0ms

series259.0ms

simplify66.0ms

prune250.0ms

localize12.0ms

rewrite42.0ms

series107.0ms

simplify42.0ms

prune124.0ms

localize10.0ms

rewrite32.0ms

series56.0ms

simplify27.0ms

prune103.0ms

regimes408.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample769.0ms

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