Details

Time bar (total: 4.4s)

sample22.0ms

Algorithm
intervals
Results
11.0ms275×body80valid

simplify93.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1304
2694
31824
44014
56594
614034
718374
823874
927594
1027634
1127634

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
7.7b
(/ x (* (- y z) (- t z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
18×add-cube-cbrt prod-diff
12×flip3-- flip--
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
8×frac-times associate-/r/
5×associate-*r* associate-*l*
4×pow1 associate-*r/ associate-*l/
3×times-frac associate-/l*
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 85
Calls
2 calls:
22.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(* (- y z) (- t z))
120.0ms
(/ x (* (- y z) (- t z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0384705
11834535
25002528

prune174.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
2.0b
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
56×add-sqr-sqrt
42×times-frac
40×*-un-lft-identity
36×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
11×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
6×pow1 unswap-sqr
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×pow1/3
2×flip3-- flip-- div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 118
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
44.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

series667.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt x)
174.0ms
(cbrt x)
177.0ms
(cbrt x)
140.0ms
(* (/ (* (cbrt x) (cbrt x)) (- y z)) (/ (cbrt x) (- t z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
130 → 130
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
05391075
12688884
25001825

prune353.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(* (cbrt (- y z)) (cbrt (- y z)))
0.8b
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
75×add-exp-log
37×cbrt-prod
35×add-cbrt-cube
33×add-sqr-sqrt prod-exp cbrt-unprod
31×*-un-lft-identity
26×associate-*l*
24×cbrt-div
22×cbrt-undiv div-exp
17×add-cube-cbrt
16×pow1
13×frac-times
12×flip3-- flip--
10×swap-sqr
9×associate-*r/ associate-*r*
8×pow1/3 associate-/r/
7×associate-*l/
6×times-frac distribute-lft-out--
5×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp difference-of-squares unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 152
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
20.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
78.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

series640.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
189.0ms
(cbrt x)
123.0ms
(* (cbrt (- y z)) (cbrt (- y z)))
144.0ms
(* (/ (cbrt x) (* (cbrt (- y z)) (cbrt (- y z)))) (* (/ (cbrt x) (cbrt (- y z))) (/ (cbrt x) (- t z))))

simplify98.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06291920
130461451
250021167

prune432.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
176×add-sqr-sqrt *-un-lft-identity
88×add-cube-cbrt
44×distribute-lft-out-- difference-of-squares
24×associate-/l*
16×associate-/r/
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 189
Calls
2 calls:
5.0ms
(/ x (- t z))
16.0ms
(/ (/ x (- t z)) (- y z))

series152.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x (- t z))
119.0ms
(/ (/ x (- t z)) (- y z))

simplify65.0ms

Algorithm
egg-herbie
Counts
195 → 195
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06441751
123221707
250011707

prune420.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample560.0ms

Algorithm
intervals
Results
347.0ms8431×body80valid