Details

Time bar (total: 4.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms277×body80valid

simplify56.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1294
2564
3864
41184
51454
61564
71664
81674
91714
101754
112864
123244
133504
144484
155174
165994
177054
187994
198084
208084

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.4b
(/ (* x (- y z)) (- t z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
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 expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
12.0ms
(* x (- y z))
14.0ms
(/ (* x (- y z)) (- t z))

series97.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
64.0ms
(/ (* x (- y z)) (- t z))

simplify45.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0346543
11624380
25001380

prune129.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.9b
(* x (/ (- y z) (- t z)))

rewrite44.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
13.0ms
(/ (- y z) (- t z))
25.0ms
(* x (/ (- y z) (- t z)))

series115.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- y z) (- t z))
66.0ms
(* x (/ (- y z) (- t z)))

simplify45.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0356664
11414623
25001623

prune203.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
3.2b
(/ x (/ (- t z) (- y z)))

rewrite42.0ms

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 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×div-sub
Counts
2 → 198
Calls
2 calls:
12.0ms
(/ (- t z) (- y z))
14.0ms
(/ x (/ (- t z) (- y z)))

series186.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- t z) (- y z))
138.0ms
(/ x (/ (- t z) (- y z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
06421801
128871748
250011745

prune395.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
3.2b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite222.0ms

Algorithm
rewrite-expression-head
Rules
848×*-un-lft-identity
819×times-frac
798×add-sqr-sqrt
444×add-cube-cbrt
441×prod-diff
197×distribute-lft-out--
167×difference-of-squares
114×associate-/r/
57×flip3-- flip--
56×div-inv
28×associate-/r*
21×fma-neg
15×distribute-rgt-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 664
Calls
4 calls:
73.0ms
(- (/ t (- y z)) (/ z (- y z)))
5.0ms
(/ t (- y z))
5.0ms
(/ z (- y z))
77.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series244.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(- (/ t (- y z)) (/ z (- y z)))
27.0ms
(/ t (- y z))
43.0ms
(/ z (- y z))
108.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify250.0ms

Algorithm
egg-herbie
Counts
676 → 676
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0141216598
1437412324
2500112324

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes94.0ms

Accuracy

-4.4% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch74.0ms

Steps
ItersRangePoint
10
2.477901339312848e-93
5.018528751992163e-75
7.159359654939009e-78
9
-1.2360690336583793e-110
-2.6540601543832486e-118
-5.780955349548897e-116

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample437.0ms

Algorithm
intervals
Results
226.0ms8726×body80valid