Details

sample20.0ms

Algorithm

intervals

Results

8.0ms

285×

body

valid

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

10.0ms	(/ (- y z) (- a z))
1.0ms	(fma (/ (- y z) (- a z)) t x)

series128.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- y z) (- a z))
77.0ms	(fma (/ (- y z) (- a z)) t x)

simplify66.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune184.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	66	4	70
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	66	6	72

Merged error: 0.0b

Counts

72 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
0.6b	(cbrt (- a z))
2.0b	(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
7×	`add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--` `difference-of-squares`
1×	`fma-udef`

Counts

4 → 61

Calls

4 calls:

3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
3.0ms	(cbrt (- a z))
1.0ms	(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

series528.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (- a z))
152.0ms	(cbrt (- a z))
152.0ms	(cbrt (- a z))
77.0ms	(fma (* (/ (* (cbrt (- y z)) (cbrt (- y z))) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (cbrt (- y z)) (cbrt (- a z)))) t x)

simplify56.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (49.0ms)

Iter	Nodes	Cost
0	198	593
1	474	541
2	1481	523
3	5001	488

prune328.0ms

Filtered

73 candidates to 66 candidates (90.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (/ (* (- y z) t) (- a z)))
0.0b	(* (- y z) t)
7.8b	(/ (* (- y z) t) (- a z))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt`
85×	`*-un-lft-identity`
70×	`times-frac`
39×	`add-cube-cbrt`
35×	`associate-l`
22×	`distribute-lft-out--` `difference-of-squares`
21×	`associate-r`
14×	`associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
7×	`*-commutative` `unswap-sqr`
5×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-*l/`
3×	`expm1-log1p-u` `flip3--` `fma-def` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `flip-+` `div-inv` `distribute-lft-out`

Counts

3 → 150

Calls

3 calls:

23.0ms	(+ x (/ (* (- y z) t) (- a z)))
6.0ms	(* (- y z) t)
13.0ms	(/ (* (- y z) t) (- a z))

series169.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(+ x (/ (* (- y z) t) (- a z)))
33.0ms	(* (- y z) t)
63.0ms	(/ (* (- y z) t) (- a z))

simplify72.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	560	1111
1	2388	1071
2	5001	1069

prune388.0ms

Filtered

159 candidates to 113 candidates (71.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	3	0	3
Picked	0	1	1
Done	0	2	2
Total	159	6	165

Merged error: 0b

Counts

165 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (- y z) (/ t (- a z))))
0.0b	(/ t (- a z))
11.1b	(* (- y z) (/ t (- a z)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
31×	`times-frac`
30×	`add-cube-cbrt`
22×	`frac-times`
21×	`associate-r`
20×	`associate-/r*`
14×	`flip3--` `flip--`
13×	`associate-/l*`
12×	`distribute-lft-out--`
11×	`associate-*r/` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
7×	`associate-l`
5×	`pow1` `clear-num` `add-log-exp`
4×	`frac-2neg` `associate-/r/`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u` `distribute-lft-out`
2×	`cbrt-undiv` `div-exp` `associate-*l/` `prod-exp` `un-div-inv` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `*-commutative` `flip-+`

Counts

3 → 138

Calls

3 calls:

18.0ms	(+ x (* (- y z) (/ t (- a z))))
5.0ms	(/ t (- a z))
16.0ms	(* (- y z) (/ t (- a z)))

series183.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms	(+ x (* (- y z) (/ t (- a z))))
30.0ms	(/ t (- a z))
71.0ms	(* (- y z) (/ t (- a z)))

simplify76.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	479	866
1	2353	821
2	5002	821

prune380.0ms

Filtered

147 candidates to 106 candidates (72.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	147	6	153

Merged error: 0b

Counts

153 → 6

regimes268.0ms

Accuracy

82.5% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.4b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	22
1	25	22

end0.0ms

sample526.0ms

Algorithm

intervals

Results

265.0ms	8707×	body	80	valid
0.0ms	1×	body	1280	valid