Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms270×body80valid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
9.9b
(/ (* x (- y z)) (- t z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
9.0ms
(/ (* x (- y z)) (- t z))

series105.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(* x (- y z))
70.0ms
(/ (* x (- y z)) (- t z))

simplify39.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0264276
11209239
25001239

prune123.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.3b
(/ x (/ (- t z) (- y z)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- t z) (- y z))
11.0ms
(/ x (/ (- t z) (- y z)))

series374.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- t z) (- y z))
328.0ms
(/ x (/ (- t z) (- y z)))

simplify73.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06331784
128631733
250011730

prune402.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
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-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- y z) (- t z))
13.0ms
(* x (/ (- y z) (- t z)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- y z) (- t z))
64.0ms
(* x (/ (- y z) (- t z)))

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25001606

prune206.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- t z))
11.0b
(* (/ x (- t z)) (- y z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*l*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*r* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
5.0ms
(/ x (- t z))
12.0ms
(* (/ x (- t z)) (- y z))

series177.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ x (- t z))
150.0ms
(* (/ x (- t z)) (- y z))

simplify42.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0341501
11401463
25001463

prune170.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes134.0ms

Accuracy

3.1% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.2b

bsearch58.0ms

Steps
ItersRangePoint
8
-5.189507509898987e-286
-2.0713597697102455e-289
-8.204370055488505e-288
7
-2.3923698237917254e-58
-1.4252433121224167e-60
-3.2992714266718147e-59

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample436.0ms

Algorithm
intervals
Results
232.0ms8692×body80valid