Details

Time bar (total: 2.5s)

sample20.0ms

Algorithm
intervals
Results
8.0ms346×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0163
1363
2803
31233
41413
51433
61433

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z y))
8.4b
(* (- (* x y) (* z y)) t)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u flip3-- distribute-rgt-out-- associate-*l/ flip-- log1p-expm1-u
sub-neg fma-neg diff-log prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 40
Calls
2 calls:
3.0ms
(- (* x y) (* z y))
10.0ms
(* (- (* x y) (* z y)) t)

series76.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (* x y) (* z y))
42.0ms
(* (- (* x y) (* z y)) t)

simplify104.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0173232
1656199
23963195
35001195

prune113.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

6.3b
(* (* t y) (- x z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
pow1 add-exp-log add-cbrt-cube
associate-*r*
pow-prod-down prod-exp cbrt-unprod
sub-neg associate-*r/
expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
14.0ms
(* (* t y) (- x z))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* t y) (- x z))

simplify40.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0303430
11277281
25002269

prune76.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x z) t)
6.1b
(* y (* (- x z) t))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
associate-*l*
*-un-lft-identity
add-cube-cbrt
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
expm1-log1p-u flip3-- associate-*r/ *-commutative flip-- log1p-expm1-u add-log-exp
distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* (- x z) t)
12.0ms
(* y (* (- x z) t))

series68.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x z) t)
40.0ms
(* y (* (- x z) t))

simplify109.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0190207
1802174
24832174
35001174

prune102.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sqrt (- (* x y) (* z y))) t)
0.2b
(* (sqrt (- (* x y) (* z y))) (* (sqrt (- (* x y) (* z y))) t))
8.5b
(sqrt (- (* x y) (* z y)))
8.5b
(sqrt (- (* x y) (* z y)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt sqrt-prod
14×associate-*l*
13×pow1
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*l/
flip3-- flip--
expm1-log1p-u frac-times distribute-rgt-out-- associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative unswap-sqr
Counts
4 → 95
Calls
4 calls:
11.0ms
(* (sqrt (- (* x y) (* z y))) t)
29.0ms
(* (sqrt (- (* x y) (* z y))) (* (sqrt (- (* x y) (* z y))) t))
4.0ms
(sqrt (- (* x y) (* z y)))
4.0ms
(sqrt (- (* x y) (* z y)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(* (sqrt (- (* x y) (* z y))) t)
41.0ms
(* (sqrt (- (* x y) (* z y))) (* (sqrt (- (* x y) (* z y))) t))
108.0ms
(sqrt (- (* x y) (* z y)))
107.0ms
(sqrt (- (* x y) (* z y)))

simplify116.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0331875
11167767
24258753
35001753

prune247.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

89.9% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 6.8b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03631
13631

end0.0ms

sample540.0ms

Algorithm
intervals
Results
270.0ms10668×body80valid