Details

Time bar (total: 2.8s)

sample22.0ms

Algorithm
intervals
Results
7.0ms284×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0175
1355
2605
3965
41405
51745
62025
72425
82895
93835
105235
118185
128615
138635
148635

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize9.0ms

Local error

Found 1 expressions with local error:

12.6b
(/ (* (- y z) t) (- a z))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
22.0ms
(/ (* (- y z) t) (- a z))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (* (- y z) t) (- a z))

simplify84.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204177
1884150
24387150
35003150

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
8.9b
(* (- y z) (/ t (- a z)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
10.0ms
(/ t (- a z))
40.0ms
(* (- y z) (/ t (- a z)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ t (- a z))
66.0ms
(* (- y z) (/ t (- a z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0293474
11347437
25002437

prune197.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- a z) t)
9.2b
(/ (- y z) (/ (- a z) t))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
200×times-frac
170×add-sqr-sqrt *-un-lft-identity
86×add-cube-cbrt
42×distribute-lft-out-- difference-of-squares
22×associate-/r*
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 flip3-- frac-2neg div-sub clear-num flip-- add-log-exp
1×associate-/r/
Counts
2 → 175
Calls
2 calls:
15.0ms
(/ (- a z) t)
26.0ms
(/ (- y z) (/ (- a z) t))

series135.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (- a z) t)
103.0ms
(/ (- y z) (/ (- a z) t))

simplify72.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
07021608
127591557
250021556

prune390.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- a z))
3.0b
(* (/ (- y z) (- a z)) t)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
20.0ms
(/ (- y z) (- a z))
45.0ms
(* (/ (- y z) (- a z)) t)

series156.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y z) (- a z))
105.0ms
(* (/ (- y z) (- a z)) t)

simplify105.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0360653
11125612
24528611
35002611

prune221.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes173.0ms

Accuracy

72.1% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.3b

bsearch62.0ms

Steps
ItersRangePoint
6
1.5287852718634885e+18
1.5337862182512493e+19
1.5588416157288878e+18
10
-4.7160133496520454e-30
-4.3180699149458635e-40
-5.214740867201422e-31

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02610
12610

end0.0ms

sample582.0ms

Algorithm
intervals
Results
247.0ms8672×body80valid
0.0ms1×body1280valid