Details

Time bar (total: 16.1s)

sample48.0ms

Algorithm
intervals
Results
16.0ms338×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5001
133507
122216
111438
10920
9609
8462
7317
6187
5122
479
349
226
114
08

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

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)

rewrite58.0ms

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:
15.0ms
(+ x (/ (* (- y x) z) t))
28.0ms
(* (- y x) z)
14.0ms
(/ (* (- y x) z) t)

series165.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ x (/ (* (- y x) z) t))
44.0ms
(* (- y x) z)
65.0ms
(/ (* (- y x) z) t)

simplify1.3s

Counts
75 → 75
Iterations
IterNodes
done5000
21019
1304
0116

prune464.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

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:
47.0ms
(+ x (/ (- y x) (/ t z)))
18.0ms
(/ (- y x) (/ t z))

series132.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ x (/ (- y x) (/ t z)))
76.0ms
(/ (- y x) (/ t z))

simplify1.5s

Counts
127 → 127
Iterations
IterNodes
done5002
22008
1667
0221

prune686.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
4.6b
(* (- y x) (/ z t))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-cube-cbrt
10×times-frac
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
3×fma-def
2×expm1-log1p-u frac-times flip3-- associate-*l/ prod-exp cbrt-unprod log1p-expm1-u flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 56
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
31.0ms
(* (- y x) (/ z t))

series119.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ x (* (- y x) (/ z t)))
61.0ms
(* (- y x) (/ z t))

simplify2.5s

Counts
62 → 62
Iterations
IterNodes
done5000
34950
21072
1318
0119

prune310.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
10.3b
(cbrt (/ t z))
10.3b
(cbrt (/ t z))
10.3b
(cbrt (/ t z))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
28×add-sqr-sqrt *-un-lft-identity
27×times-frac
26×add-cube-cbrt
5×cbrt-div
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log log1p-expm1-u add-log-exp
3×div-inv
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 89
Calls
4 calls:
3.0ms
(cbrt (- y x))
2.0ms
(cbrt (/ t z))
2.0ms
(cbrt (/ t z))
2.0ms
(cbrt (/ t z))

series389.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (- y x))
68.0ms
(cbrt (/ t z))
67.0ms
(cbrt (/ t z))
68.0ms
(cbrt (/ t z))

simplify1.9s

Counts
101 → 101
Iterations
IterNodes
done5000
43496
31154
2500
1258
0146

prune670.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes286.0ms

Accuracy

2.2% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch91.0ms

Steps
ItersRangePoint
9
-8.015230316116678e-235
-6.638878432570152e-242
-5.485219336659275e-236
7
-84463.33967257517
-806.1975761958196
-7160.27886158334

simplify4.0ms

Iterations
IterNodes
done26
126
022

end0.0ms

sample1.1s

Algorithm
intervals
Results
513.0ms10566×body80valid