Details

Time bar (total: 4.5s)

sample18.0ms

Algorithm
intervals
Results
7.0ms278×body80valid

simplify59.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0174
1254
2494
3784
41164
51414
61624
71754
81834
91874
101914
113024
123404
133664
144644
155334
166154
177214
188154
198244
208244

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
4.4b
(* (/ (- x y) (- z y)) t)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
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-*r* 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 pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series140.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- x y) (- z y))
95.0ms
(* (/ (- x y) (- z y)) t)

simplify100.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0369669
11149628
24661627
35001627

prune229.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.7b
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
4.0b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
39×*-un-lft-identity
34×add-exp-log
32×associate-*l*
26×times-frac
21×add-cbrt-cube
19×add-cube-cbrt
18×pow1
17×prod-exp cbrt-unprod
10×distribute-lft-out-- difference-of-squares
9×cbrt-prod pow-prod-down
7×associate-*r*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×associate-*l/
2×pow1/3 associate-/r/ *-commutative unswap-sqr
1×flip3-- flip-- div-inv
Counts
4 → 112
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
17.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
16.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series713.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt t)
182.0ms
(cbrt t)
121.0ms
(* (* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t))) (cbrt t))
221.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify56.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0418962
11750710
25002667

prune293.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
6.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
18×cbrt-unprod
17×div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
9×pow1 cbrt-undiv add-cube-cbrt
7×associate-*l*
6×cbrt-div 1-exp
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- times-frac pow1/3 pow-prod-down associate-*l/ flip-- distribute-lft-out-- difference-of-squares
1×frac-times associate-*r/ associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
21.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series549.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- x y))
151.0ms
(cbrt (- x y))
154.0ms
(cbrt (- x y))
98.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify67.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04791039
12151802
25002693

prune274.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

5.9b
(cbrt (* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t)))
6.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
6.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
6.7b
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
175×add-exp-log
93×prod-exp
85×add-cbrt-cube
54×cbrt-unprod
51×div-exp
27×cbrt-undiv
21×associate-*l*
19×pow1
18×1-exp
12×associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down
4×expm1-log1p-u frac-times associate-*r/ log1p-expm1-u add-log-exp
3×cbrt-div associate-*r* *-commutative div-inv
1×cbrt-prod pow1/3
Counts
4 → 155
Calls
4 calls:
18.0ms
(cbrt (* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t)))
25.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
21.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
21.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

series570.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(cbrt (* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t)))
93.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
96.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))
95.0ms
(* (/ (* (cbrt (- x y)) (cbrt (- x y))) 1) (* (/ (cbrt (- x y)) (- z y)) t))

simplify70.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04912377
122721680
250011379

prune366.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes261.0ms

Accuracy

-27.3% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 2.4b

bsearch78.0ms

Steps
ItersRangePoint
7
1.5275890292440776e-117
2.964664950859909e-116
2.922609914751092e-116
4
-5.906043100963754e-260
-3.955409345523615e-260
-5.601256576676233e-260
9
-1.53695861385236e+16
-121429039431.98735
-5901250107637.394

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02818
12818

end0.0ms

sample454.0ms

Algorithm
intervals
Results
227.0ms8725×body80valid