Details

Time bar (total: 3.1s)

sample26.0ms

Algorithm
intervals
Results
15.0ms272×body80valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 11.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.7b
(/ (* x (- y z)) (- t z))

rewrite28.0ms

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))
13.0ms
(/ (* x (- y z)) (- t z))

series112.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* x (- y z))
74.0ms
(/ (* x (- y z)) (- t z))

simplify56.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0346543
11624380
25001380

prune153.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.7b
(* x (/ (- y z) (- t z)))

rewrite45.0ms

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:
12.0ms
(/ (- y z) (- t z))
28.0ms
(* x (/ (- y z) (- t z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- y z) (- t z))
74.0ms
(* x (/ (- y z) (- t z)))

simplify48.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0356664
11414623
25001623

prune245.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.8b
(/ 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))
18.0ms
(/ x (/ (- t z) (- y z)))

series215.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- t z) (- y z))
164.0ms
(/ x (/ (- t z) (- y z)))

simplify87.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
06421801
128871748
250011745

prune466.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
50×*-un-lft-identity
34×add-cube-cbrt
31×times-frac
21×associate-*l*
18×prod-diff
11×distribute-rgt-in distribute-lft-in
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 expm1-log1p-u frac-times sub-neg associate-*r/ div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 109
Calls
2 calls:
5.0ms
(/ x (- t z))
29.0ms
(* (/ x (- t z)) (- y z))

series195.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ x (- t z))
158.0ms
(* (/ x (- t z)) (- y z))

simplify58.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0472839
11987675
25001669

prune228.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

-0.6% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch102.0ms

Steps
ItersRangePoint
9
1.4010557473267428e-242
7.304700793464136e-235
2.779888406790912e-239
10
-6.317099657528473e-181
-8.114521177047641e-191
-7.541101569806082e-184

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample653.0ms

Algorithm
intervals
Results
427.0ms8718×body80valid