Details

Time bar (total: 3.7s)

sample46.0ms

Algorithm
intervals
Results
30.0ms276×body80valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.5b
(/ (* x (- y z)) (- t z))

rewrite30.0ms

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))
15.0ms
(/ (* x (- y z)) (- t z))

series126.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* x (- y z))
83.0ms
(/ (* x (- y z)) (- t z))

simplify64.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0346543
11624380
25001380

prune174.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
2.6b
(* x (/ (- y z) (- t z)))

rewrite42.0ms

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))
25.0ms
(* x (/ (- y z) (- t z)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (- y z) (- t z))
79.0ms
(* x (/ (- y z) (- t z)))

simplify61.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0356664
11414623
25001623

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
2.8b
(/ x (/ (- t z) (- y z)))

rewrite43.0ms

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))
15.0ms
(/ x (/ (- t z) (- y z)))

series233.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(/ (- t z) (- y z))
173.0ms
(/ x (/ (- t z) (- y z)))

simplify99.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
06421801
128871748
250011745

prune507.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
2.8b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
174×*-un-lft-identity
156×times-frac
134×add-sqr-sqrt
56×distribute-lft-out--
54×add-cube-cbrt
32×difference-of-squares
28×associate-/r*
24×associate-/r/
12×distribute-rgt-out--
11×flip3-- flip-- div-inv
9×add-exp-log add-cbrt-cube associate-/l*
3×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-exp clear-num log1p-expm1-u add-log-exp
1×frac-sub sub-div
Counts
3 → 171
Calls
3 calls:
5.0ms
(/ t (- y z))
5.0ms
(/ z (- y z))
75.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series187.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ t (- y z))
45.0ms
(/ z (- y z))
112.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify67.0ms

Algorithm
egg-herbie
Counts
180 → 180
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05031383
118821344
250011341

prune423.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes102.0ms

Accuracy

-9.4% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.2b

bsearch98.0ms

Steps
ItersRangePoint
8
4.44730102309774e-53
1.3006604657059154e-48
4.568312797483335e-53
10
-1.8802038655644203e-102
-9.986682362054284e-118
-4.3044086709770845e-106

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0218
1218

end0.0ms

sample786.0ms

Algorithm
intervals
Results
560.0ms8776×body80valid