Details

Time bar (total: 17.5s)

sample37.0ms

Algorithm
intervals
Results
19.0ms351×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5000
112823
101465
9888
8547
7333
6217
5165
4107
360
227
114
08

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

5.3b
(* (- y x) (/ z t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*r*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-cbrt-cube add-exp-log
associate-*l*
pow1
frac-times flip3-- associate-*l/ prod-exp cbrt-unprod flip-- unswap-sqr
expm1-log1p-u cbrt-undiv div-exp pow-prod-down associate-*r/ *-commutative log1p-expm1-u div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 40
Calls
1 calls:
30.0ms
(* (- y x) (/ z t))

series58.0ms

Counts
1 → 3
Calls
1 calls:
58.0ms
(* (- y x) (/ z t))

simplify2.5s

Counts
43 → 43
Iterations
IterNodes
done5001
33699
2843
1254
098

prune203.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
6.0b
(* (* (* (- y x) (cbrt z)) (cbrt z)) (/ (cbrt z) t))

rewrite167.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×cbrt-prod times-frac
16×add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
10×associate-*l/
pow-prod-down
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
frac-times flip3-- flip--
associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
162.0ms
(* (* (* (- y x) (cbrt z)) (cbrt z)) (/ (cbrt z) t))

series874.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt z)
237.0ms
(cbrt z)
255.0ms
(cbrt z)
122.0ms
(* (* (* (- y x) (cbrt z)) (cbrt z)) (/ (cbrt z) t))

simplify1.8s

Counts
104 → 104
Iterations
IterNodes
done5000
21759
1462
0151

prune674.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y x) z)
7.7b
(/ (* (- y x) z) t)

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-cbrt-cube add-exp-log
*-un-lft-identity
add-cube-cbrt
associate-*l*
pow1 associate-*l/
associate-/r* times-frac associate-*r*
expm1-log1p-u cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod log1p-expm1-u flip-- add-log-exp associate-/l/
clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
31.0ms
(* (- y x) z)
24.0ms
(/ (* (- y x) z) t)

series108.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* (- y x) z)
68.0ms
(/ (* (- y x) z) t)

simplify2.2s

Counts
55 → 55
Iterations
IterNodes
done5007
33580
2775
1240
095

prune324.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.3b
(/ 1 (/ t (* (- y x) z)))
7.7b
(/ t (* (- y x) z))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
29×add-sqr-sqrt
27×*-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*l/
11×associate-/r/
10×associate-/r*
cbrt-undiv
pow1 flip3-- div-inv flip-- associate-/l*
associate-*l* prod-exp
expm1-log1p-u rec-exp 1-exp associate-*r* cbrt-unprod log1p-expm1-u add-log-exp
clear-num frac-2neg
pow-prod-down *-commutative pow-flip distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 115
Calls
3 calls:
33.0ms
(* (- y x) z)
43.0ms
(/ 1 (/ t (* (- y x) z)))
20.0ms
(/ t (* (- y x) z))

series224.0ms

Counts
3 → 9
Calls
3 calls:
58.0ms
(* (- y x) z)
70.0ms
(/ 1 (/ t (* (- y x) z)))
96.0ms
(/ t (* (- y x) z))

simplify1.5s

Counts
124 → 124
Iterations
IterNodes
done5002
21234
1408
0178

prune582.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes483.0ms

Accuracy

7.7% (1.9b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.1b

bsearch107.0ms

Steps
ItersRangePoint
8
3.94162455355538e-98
1.0384081610065428e-93
9.722960166984673e-97
9
-2.4444123699078905e-281
-2.498771122844924e-286
-2.805118041439938e-286

simplify9.0ms

Iterations
IterNodes
done29
129
020

end0.0ms

sample1.1s

Algorithm
intervals
Results
595.0ms10657×body80valid