Details

sample21.0ms

Algorithm

intervals

Results

8.0ms	274×	body	80	valid
0.0ms	1×	body	640	valid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (7.0ms)

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

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
0.5b	(fma (/ (- y z) (- a z)) t x)

rewrite15.0ms

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:

12.0ms	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) t x)

series137.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- y z) (- a z))
86.0ms	(fma (/ (- y z) (- a z)) t x)

simplify68.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune203.0ms

Filtered

70 candidates to 51 candidates (72.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (- y z) (- a z)) t) x)
0.0b	(/ (- y z) (- a z))
1.8b	(* (/ (- y z) (- a z)) t)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
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×	`expm1-log1p-u` `flip3--` `associate-r` `flip--` `log1p-expm1-u`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `fma-def` `frac-2neg` `flip3-+` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 120

Calls

3 calls:

9.0ms	(+ (* (/ (- y z) (- a z)) t) x)
12.0ms	(/ (- y z) (- a z))
26.0ms	(* (/ (- y z) (- a z)) t)

series269.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(+ (* (/ (- y z) (- a z)) t) x)
56.0ms	(/ (- y z) (- a z))
110.0ms	(* (/ (- y z) (- a z)) t)

simplify55.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	448	783
1	1395	739
2	5001	738

prune347.0ms

Filtered

129 candidates to 91 candidates (70.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- (/ y (- a z)) (/ z (- a z))) t) x)
0.0b	(/ z (- a z))
0.0b	(/ y (- a z))
1.8b	(* (- (/ y (- a z)) (/ z (- a z))) t)

rewrite280.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
62×	`add-sqr-sqrt`
48×	`times-frac`
28×	`add-cube-cbrt`
20×	`distribute-lft-out--`
18×	`associate-l`
14×	`difference-of-squares`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`associate-/r/`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u` `div-inv`
3×	`distribute-rgt-out--` `associate-r`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`+-commutative` `fma-def` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `frac-sub` `cbrt-unprod` `flip-+` `sub-div` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

80.0ms	(+ (* (- (/ y (- a z)) (/ z (- a z))) t) x)
5.0ms	(/ z (- a z))
5.0ms	(/ y (- a z))
183.0ms	(* (- (/ y (- a z)) (/ z (- a z))) t)

series419.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(+ (* (- (/ y (- a z)) (/ z (- a z))) t) x)
51.0ms	(/ z (- a z))
31.0ms	(/ y (- a z))
148.0ms	(* (- (/ y (- a z)) (/ z (- a z))) t)

simplify60.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	430	846
1	1388	808
2	5001	804

prune423.0ms

Filtered

143 candidates to 107 candidates (74.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.8b	(* (- (/ y (- a z)) (/ z (- a z))) t)
7.0b	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))
7.0b	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))
7.0b	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))

rewrite337.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
18×	`times-frac` `associate-l`
16×	`associate-*l/`
12×	`cbrt-div` `distribute-lft-out--`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `difference-of-squares`
4×	`expm1-log1p-u` `associate-/r/` `frac-sub` `log1p-expm1-u` `sub-div` `add-log-exp`
3×	`cbrt-prod` `distribute-rgt-out--` `pow1/3` `associate-r`
2×	`div-inv`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

180.0ms	(* (- (/ y (- a z)) (/ z (- a z))) t)
51.0ms	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))
50.0ms	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))
52.0ms	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))

series1.0s

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (- (/ y (- a z)) (/ z (- a z))) t)
295.0ms	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))
288.0ms	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))
296.0ms	(cbrt (* (- (/ y (- a z)) (/ z (- a z))) t))

simplify98.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	306	884
1	885	811
2	3376	800
3	5001	797

prune410.0ms

Filtered

96 candidates to 83 candidates (86.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes167.0ms

Accuracy

0% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	7
1	13	7

end0.0ms

sample533.0ms

Algorithm

intervals

Results

272.0ms	8724×	body	80	valid
0.0ms	1×	body	640	valid