Details

Time bar (total: 35.7s)

sample39.0ms

Algorithm
intervals
Results
16.0ms318×body80valid

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5004
112944
101236
9529
8248
7140
6102
583
461
339
220
111
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.3b
(/ (* x (- y z)) y)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u sub-neg flip3-- div-exp prod-exp flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 71
Calls
2 calls:
56.0ms
(* x (- y z))
46.0ms
(/ (* x (- y z)) y)

series166.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(* x (- y z))
91.0ms
(/ (* x (- y z)) y)

simplify7.2s

Counts
77 → 77
Iterations
IterNodes
done5000
34660
2937
1331
0140

prune462.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
Counts
2 → 143
Calls
2 calls:
24.0ms
(/ y (- y z))
36.0ms
(/ x (/ y (- y z)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(/ y (- y z))
90.0ms
(/ x (/ y (- y z)))

simplify3.4s

Counts
149 → 149
Iterations
IterNodes
done5002
21959
1559
0222

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
2.1b
(/ x (* y (/ 1 (- y z))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×expm1-log1p-u rec-exp 1-exp associate-*l* log1p-expm1-u div-inv add-log-exp unswap-sqr
2×flip3-- frac-2neg associate-*r/ clear-num un-div-inv flip--
1×pow-flip pow-prod-down *-commutative inv-pow
Counts
3 → 118
Calls
3 calls:
26.0ms
(/ 1 (- y z))
79.0ms
(* y (/ 1 (- y z)))
33.0ms
(/ x (* y (/ 1 (- y z))))

series315.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ 1 (- y z))
143.0ms
(* y (/ 1 (- y z)))
105.0ms
(/ x (* y (/ 1 (- y z))))

simplify2.6s

Counts
127 → 127
Iterations
IterNodes
done5000
21161
1363
0153

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.5b
(* x (/ (- y z) y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 80
Calls
2 calls:
35.0ms
(/ (- y z) y)
52.0ms
(* x (/ (- y z) y))

series150.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (- y z) y)
92.0ms
(* x (/ (- y z) y))

simplify7.7s

Counts
86 → 86
Iterations
IterNodes
done5001
34126
2950
1284
0115

prune672.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes291.0ms

Accuracy

-0.3% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 2.9b

bsearch123.0ms

Steps
ItersRangePoint
11
5.807412798230273e-148
1.0860601696953408e-122
3.555941013430806e-139
7
-1.8448652203635703e-67
-2.2514655215282913e-69
-9.52160761384595e-68

simplify6.0ms

Iterations
IterNodes
done23
123
016

end0.0ms

sample5.5s

Algorithm
intervals
Results
3.0s9617×body80valid