Details

Time bar (total: 2.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms332×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.5b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- x z))
8.1b
(* t (* y (- x z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
15.0ms
(* y (- x z))
18.0ms
(* t (* y (- x z)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* y (- x z))
42.0ms
(* t (* y (- x z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04021084
11572663
25001645

prune126.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.6b
(* (- x z) (* t y))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
5×associate-*l*
4×add-sqr-sqrt *-un-lft-identity
3×pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt associate-*l/
1×expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 24
Calls
1 calls:
14.0ms
(* (- x z) (* t y))

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* (- x z) (* t y))

simplify67.0ms

Algorithm
egg-herbie
Counts
27 → 27
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0152123
1525100
22534100
35001100

prune59.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x z))
0.5b
(* (cbrt (- x z)) (cbrt (- x z)))
3.9b
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))
3.9b
(* (cbrt (- x z)) (* t y))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
38×cbrt-prod
37×pow1
36×associate-*l/
35×add-sqr-sqrt flip3-- flip--
33×*-un-lft-identity
32×add-exp-log frac-times
20×pow-prod-down
19×prod-exp cbrt-unprod
18×add-cbrt-cube
17×associate-*l*
15×add-cube-cbrt
10×associate-*r/ swap-sqr associate-*r*
8×distribute-lft-out--
7×pow1/3
6×difference-of-squares
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 158
Calls
4 calls:
2.0ms
(cbrt (- x z))
20.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
55.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))
14.0ms
(* (cbrt (- x z)) (* t y))

series609.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- x z))
129.0ms
(* (cbrt (- x z)) (cbrt (- x z)))
44.0ms
(* (* (cbrt (- x z)) (cbrt (- x z))) (* (cbrt (- x z)) (* t y)))
292.0ms
(* (cbrt (- x z)) (* t y))

simplify84.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06291668
124731467
250011366

prune380.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
8.1b
(* (* (- x z) t) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
7×*-un-lft-identity
6×associate-*r* associate-*l* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* (- x z) t)
15.0ms
(* (* (- x z) t) y)

series77.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(* (- x z) t)
49.0ms
(* (* (- x z) t) y)

simplify32.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0194207
1867174
25002174

prune90.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes221.0ms

Accuracy

58.5% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 6.8b

bsearch55.0ms

Steps
ItersRangePoint
7
6.729132434316701e-11
1.7888545263047805e-09
4.2319166616304514e-10
6
-3.820912317813389e+31
-7.83956973573719e+30
-1.6836198224304e+31

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0298
1338
2338

end0.0ms

sample568.0ms

Algorithm
intervals
Results
292.0ms10722×body80valid