Details

Time bar (total: 13.4s)

sample37.0ms

Algorithm
intervals
Results
15.0ms338×body80valid

simplify2.1s

Counts
1 → 1
Iterations
IterNodes
done5000
83315
71018
6353
5156
489
351
228
114
08

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

1.4b
(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y x) (/ z t) x)

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(fma (- y x) (/ z t) x)

simplify1.6s

Counts
13 → 13
Iterations
IterNodes
done5001
41513
3263
286
141
023

prune88.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.7b
(/ (* (- y x) z) t)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
8×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×expm1-log1p-u associate-/r* fma-def times-frac associate-*r* log1p-expm1-u
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 66
Calls
3 calls:
14.0ms
(+ x (/ (* (- y x) z) t))
24.0ms
(* (- y x) z)
14.0ms
(/ (* (- y x) z) t)

series157.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ (* (- y x) z) t))
37.0ms
(* (- y x) z)
75.0ms
(/ (* (- y x) z) t)

simplify1.4s

Counts
75 → 75
Iterations
IterNodes
done5000
21574
1304
0116

prune393.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
4.9b
(/ (- y x) (/ t z))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
89×*-un-lft-identity
87×add-sqr-sqrt
59×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-cbrt-cube add-exp-log div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv fma-def div-exp
2×expm1-log1p-u pow1 div-sub log1p-expm1-u associate-/l/
1×+-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 121
Calls
2 calls:
34.0ms
(+ x (/ (- y x) (/ t z)))
17.0ms
(/ (- y x) (/ t z))

series122.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ x (/ (- y x) (/ t z)))
73.0ms
(/ (- y x) (/ t z))

simplify1.4s

Counts
127 → 127
Iterations
IterNodes
done5000
23127
1675
0221

prune694.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.5b
(/ 1 (/ (/ t z) (- y x)))
4.7b
(/ (/ t z) (- y x))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
463×*-un-lft-identity
460×add-sqr-sqrt
328×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×expm1-log1p-u rec-exp fma-def 1-exp log1p-expm1-u
2×clear-num frac-2neg distribute-lft-out
1×+-commutative sum-log flip3-+ flip-+ pow-flip inv-pow associate-/l/
Counts
3 → 434
Calls
3 calls:
116.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
26.0ms
(/ 1 (/ (/ t z) (- y x)))
27.0ms
(/ (/ t z) (- y x))

series149.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
64.0ms
(/ 1 (/ (/ t z) (- y x)))
44.0ms
(/ (/ t z) (- y x))

simplify1.4s

Counts
443 → 443
Iterations
IterNodes
done5001
11675
0581

prune2.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes306.0ms

Accuracy

-13.4% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.0b

bsearch116.0ms

Steps
ItersRangePoint
9
-8.015230316116678e-235
-6.638878432570152e-242
-9.604647615299938e-236
10
-3.1288527074614045e-95
-1.1682718823344e-108
-3.063495949423466e-95

simplify7.0ms

Iterations
IterNodes
done30
230
129
023

end0.0ms

sample933.0ms

Algorithm
intervals
Results
447.0ms10566×body80valid