Details

Time bar (total: 31.6s)

sample35.0ms

Algorithm
intervals
Results
11.0ms277×body80valid

simplify482.0ms

Counts
1 → 1
Iterations
IterNodes
done160
9160
8157
7147
6131
5100
475
348
227
114
08

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.1b

localize33.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.5b
(/ (* x (- y z)) (- t z))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×expm1-log1p-u cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 79
Calls
2 calls:
37.0ms
(* x (- y z))
43.0ms
(/ (* x (- y z)) (- t z))

series254.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* x (- y z))
171.0ms
(/ (* x (- y z)) (- t z))

simplify7.4s

Counts
85 → 85
Iterations
IterNodes
done5000
34561
21052
1395
0159

prune839.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.1b
(* x (/ (- y z) (- t z)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 108
Calls
2 calls:
39.0ms
(/ (- y z) (- t z))
82.0ms
(* x (/ (- y z) (- t z)))

series238.0ms

Counts
2 → 6
Calls
2 calls:
103.0ms
(/ (- y z) (- t z))
135.0ms
(* x (/ (- y z) (- t z)))

simplify6.2s

Counts
114 → 114
Iterations
IterNodes
done5000
34417
21165
1378
0144

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
1×div-sub
Counts
2 → 200
Calls
2 calls:
67.0ms
(/ (- t z) (- y z))
61.0ms
(/ x (/ (- t z) (- y z)))

series424.0ms

Counts
2 → 6
Calls
2 calls:
115.0ms
(/ (- t z) (- y z))
309.0ms
(/ x (/ (- t z) (- y z)))

simplify4.4s

Counts
206 → 206
Iterations
IterNodes
done5002
22757
1739
0276

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.0b
(* x (- y z))
8.6b
(* (* x (- y z)) (/ 1 (- t z)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
52×*-un-lft-identity
36×add-cube-cbrt
31×add-exp-log
30×times-frac
26×associate-*r*
19×add-cbrt-cube
18×prod-diff
13×prod-exp
11×distribute-rgt-in pow1 distribute-lft-in
8×distribute-lft-out-- difference-of-squares
7×associate-*r/ cbrt-unprod
6×div-exp
5×associate-/r* flip3-- flip--
4×associate-*l* pow-prod-down associate-/r/
3×expm1-log1p-u cbrt-undiv rec-exp 1-exp insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×frac-times sub-neg associate-*l/ *-commutative div-inv
1×clear-num frac-2neg un-div-inv pow-flip inv-pow unswap-sqr
Counts
3 → 144
Calls
3 calls:
19.0ms
(/ 1 (- t z))
34.0ms
(* x (- y z))
98.0ms
(* (* x (- y z)) (/ 1 (- t z)))

series294.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ 1 (- t z))
86.0ms
(* x (- y z))
155.0ms
(* (* x (- y z)) (/ 1 (- t z)))

simplify3.3s

Counts
153 → 153
Iterations
IterNodes
done5001
21502
1565
0219

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes867.0ms

Accuracy

0% (2.1b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
835.0ms8734×body80valid