Details

Time bar (total: 26.0s)

sample38.0ms

Algorithm
intervals
Results
18.0ms356×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
089
1149
2278
3628
41158
51758
62408
74378
812288
945348
done50008

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize12.0ms

Local error

Found 1 expressions with local error:

2.5b
(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
1.0ms
(fma (- y x) (/ z t) x)

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(fma (- y x) (/ z t) x)

simplify1.2s

Counts
13 → 13
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
023154
141154
286138
3263123
41482123
done5000123

prune68.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 2.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- y x) (/ t z)) x)
9.4b
(/ (- y x) (/ t z))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
7×add-exp-log add-cbrt-cube
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
1×+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
119.0ms
(+ (/ (- y x) (/ t z)) x)
45.0ms
(/ (- y x) (/ t z))

series140.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(+ (/ (- y x) (/ t z)) x)
61.0ms
(/ (- y x) (/ t z))

simplify1.6s

Counts
194 → 194
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02211932
16741832
231071731
done50001728

prune865.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 1 (/ (/ t z) (- y x))) x)
0.5b
(/ 1 (/ (/ t z) (- y x)))
9.3b
(/ (/ t z) (- y x))

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
1315×times-frac
759×*-un-lft-identity
756×add-sqr-sqrt
546×add-cube-cbrt
218×fma-def
105×distribute-lft-out-- difference-of-squares
76×associate-/r*
52×div-inv
29×add-exp-log
18×div-exp associate-/r/
17×add-cbrt-cube
16×associate-/l*
9×cbrt-undiv
8×flip3-- flip--
5×add-log-exp
4×pow1
3×expm1-log1p-u rec-exp 1-exp log1p-expm1-u
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 649
Calls
3 calls:
270.0ms
(+ (/ 1 (/ (/ t z) (- y x))) x)
68.0ms
(/ 1 (/ (/ t z) (- y x)))
39.0ms
(/ (/ t z) (- y x))

series237.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ (/ 1 (/ (/ t z) (- y x))) x)
107.0ms
(/ 1 (/ (/ t z) (- y x)))
62.0ms
(/ (/ t z) (- y x))

simplify1.4s

Counts
658 → 658
Iterations

Useful iterations: done (1.4s)

IterNodesCost
05818603
116737467
done50017134

prune2.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (/ 1 t) (/ (/ 1 z) (- y x))) x)
0.2b
(/ (/ 1 z) (- y x))
5.0b
(/ (/ 1 t) (/ (/ 1 z) (- y x)))

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
6222×times-frac
3116×*-un-lft-identity
3114×add-sqr-sqrt
2384×add-cube-cbrt
928×fma-def
365×distribute-lft-out-- difference-of-squares
314×div-inv
77×add-exp-log
76×associate-/r*
60×div-exp
58×associate-/r/
29×add-cbrt-cube
28×flip3-- flip--
26×associate-/l*
18×cbrt-undiv
10×rec-exp 1-exp
5×add-log-exp
3×pow1 expm1-log1p-u log1p-expm1-u
2×frac-2neg clear-num associate-/l/
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 2093
Calls
3 calls:
837.0ms
(+ (/ (/ 1 t) (/ (/ 1 z) (- y x))) x)
43.0ms
(/ (/ 1 z) (- y x))
79.0ms
(/ (/ 1 t) (/ (/ 1 z) (- y x)))

series273.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(+ (/ (/ 1 t) (/ (/ 1 z) (- y x))) x)
68.0ms
(/ (/ 1 z) (- y x))
126.0ms
(/ (/ 1 t) (/ (/ 1 z) (- y x)))

simplify1.2s

Counts
2102 → 2102
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0151532180
done500030079

prune9.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes209.0ms

Accuracy

23% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.9b

bsearch97.0ms

Steps
ItersRangePoint
9
3.394150247141357e+54
1.9813331630890936e+61
1.7043912923441844e+56
7
-1.1278859884527996e+55
-3.6874311802331027e+53
-4.055611877349512e+54

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02137
12437
done2437

end0.0ms

sample1.7s

Algorithm
intervals
Results
930.0ms10704×body80valid